Fixes from netlib PR 253
When minimal workspace is given in ?hesv_aa, ?sysv_aa, ?hesv_aa_2stage, ?sysv_aa_2stage, now no error is given Quick return for ?laqr1
This commit is contained in:
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e2a8c35e5a
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677e42d7b0
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@ -701,7 +701,7 @@
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LWSVDJ = MAX( 2 * N, 1 )
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LWSVDJV = MAX( 2 * N, 1 )
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* .. minimal REAL workspace length for CGEQP3, CPOCON, CGESVJ
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LRWQP3 = N
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LRWQP3 = 2 * N
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LRWCON = N
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LRWSVDJ = N
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IF ( LQUERY ) THEN
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@ -939,7 +939,7 @@
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END IF
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END IF
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MINWRK = MAX( 2, MINWRK )
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OPTWRK = MAX( 2, OPTWRK )
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OPTWRK = MAX( OPTWRK, MINWRK )
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IF ( LWORK .LT. MINWRK .AND. (.NOT.LQUERY) ) INFO = - 17
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IF ( LRWORK .LT. MINRWRK .AND. (.NOT.LQUERY) ) INFO = - 19
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END IF
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@ -209,6 +209,8 @@
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INFO = -5
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ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
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INFO = -8
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ELSE IF( LWORK.LT.MAX( 2*N, 3*N-2 ) .AND. .NOT.LQUERY ) THEN
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INFO = -10
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END IF
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*
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IF( INFO.EQ.0 ) THEN
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@ -219,9 +221,6 @@
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LWKOPT_HETRS = INT( WORK(1) )
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LWKOPT = MAX( LWKOPT_HETRF, LWKOPT_HETRS )
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WORK( 1 ) = LWKOPT
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IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
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INFO = -10
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END IF
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END IF
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*
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IF( INFO.NE.0 ) THEN
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@ -105,6 +105,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N, internally
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*> used to select NB such that LTB >= (3*NB+1)*N.
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*>
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@ -124,7 +125,7 @@
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*>
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*> \param[out] IPIV2
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*> \verbatim
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*> IPIV is INTEGER array, dimension (N)
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*> IPIV2 is INTEGER array, dimension (N)
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*> On exit, it contains the details of the interchanges, i.e.,
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*> the row and column k of T were interchanged with the
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*> row and column IPIV(k).
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@ -150,6 +151,7 @@
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*>
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*> \param[in] LWORK
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*> \verbatim
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*> LWORK is INTEGER
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*> The size of WORK. LWORK >= N, internally used to select NB
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*> such that LWORK >= N*NB.
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*>
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@ -233,19 +235,18 @@
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INFO = -3
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ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
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INFO = -5
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ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
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INFO = -7
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ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
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INFO = -11
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ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
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INFO = -13
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END IF
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*
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IF( INFO.EQ.0 ) THEN
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CALL CHETRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
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$ IPIV2, WORK, -1, INFO )
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LWKOPT = INT( WORK(1) )
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IF( LTB.LT.INT( TB(1) ) .AND. .NOT.TQUERY ) THEN
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INFO = -7
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ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.WQUERY ) THEN
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INFO = -13
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END IF
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END IF
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*
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IF( INFO.NE.0 ) THEN
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@ -270,6 +271,8 @@
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END IF
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*
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WORK( 1 ) = LWKOPT
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*
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RETURN
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*
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* End of CHESV_AA_2STAGE
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*
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@ -93,6 +93,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N, internally
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*> used to select NB such that LTB >= (3*NB+1)*N.
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*>
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@ -112,7 +113,7 @@
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*>
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*> \param[out] IPIV2
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*> \verbatim
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*> IPIV is INTEGER array, dimension (N)
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*> IPIV2 is INTEGER array, dimension (N)
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*> On exit, it contains the details of the interchanges, i.e.,
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*> the row and column k of T were interchanged with the
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*> row and column IPIV(k).
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@ -125,6 +126,7 @@
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*>
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*> \param[in] LWORK
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*> \verbatim
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*> LWORK is INTEGER
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*> The size of WORK. LWORK >= N, internally used to select NB
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*> such that LWORK >= N*NB.
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*>
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@ -658,6 +660,8 @@ c $ (J+1)*NB+1, (J+1)*NB+KB, IPIV, 1 )
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*
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* Factor the band matrix
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CALL CGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
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*
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RETURN
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*
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* End of CHETRF_AA_2STAGE
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*
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@ -87,6 +87,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N.
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*> \endverbatim
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*>
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@ -241,7 +241,7 @@
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INFO = 10
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END IF
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IF( INFO.NE.0 )THEN
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CALL XERBLA( 'SSYMV ', INFO )
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CALL XERBLA( 'CLA_SYAMV', INFO )
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RETURN
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END IF
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*
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@ -142,6 +142,13 @@
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CABS1( CDUM ) = ABS( REAL( CDUM ) ) + ABS( AIMAG( CDUM ) )
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* ..
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* .. Executable Statements ..
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*
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* Quick return if possible
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*
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IF( N.NE.2 .AND. N.NE.3 ) THEN
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RETURN
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END IF
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*
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IF( N.EQ.2 ) THEN
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S = CABS1( H( 1, 1 )-S2 ) + CABS1( H( 2, 1 ) )
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IF( S.EQ.RZERO ) THEN
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@ -221,9 +221,6 @@
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LWKOPT_SYTRS = INT( WORK(1) )
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LWKOPT = MAX( LWKOPT_SYTRF, LWKOPT_SYTRS )
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WORK( 1 ) = LWKOPT
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IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
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INFO = -10
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END IF
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END IF
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*
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IF( INFO.NE.0 ) THEN
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@ -105,6 +105,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N, internally
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*> used to select NB such that LTB >= (3*NB+1)*N.
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*>
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@ -124,7 +125,7 @@
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*>
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*> \param[out] IPIV2
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*> \verbatim
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*> IPIV is INTEGER array, dimension (N)
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*> IPIV2 is INTEGER array, dimension (N)
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*> On exit, it contains the details of the interchanges, i.e.,
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*> the row and column k of T were interchanged with the
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*> row and column IPIV(k).
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@ -150,6 +151,7 @@
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*>
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*> \param[in] LWORK
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*> \verbatim
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*> LWORK is INTEGER
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*> The size of WORK. LWORK >= N, internally used to select NB
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*> such that LWORK >= N*NB.
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*>
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@ -233,19 +235,18 @@
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INFO = -3
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ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
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INFO = -5
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ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
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INFO = -7
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ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
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INFO = -11
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ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
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INFO = -13
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END IF
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*
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IF( INFO.EQ.0 ) THEN
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CALL CSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
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$ IPIV2, WORK, -1, INFO )
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LWKOPT = INT( WORK(1) )
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IF( LTB.LT.INT( TB(1) ) .AND. .NOT.TQUERY ) THEN
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INFO = -7
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ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.WQUERY ) THEN
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INFO = -13
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END IF
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END IF
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*
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IF( INFO.NE.0 ) THEN
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@ -270,6 +271,8 @@
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END IF
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*
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WORK( 1 ) = LWKOPT
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*
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RETURN
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*
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* End of CSYSV_AA_2STAGE
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*
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@ -93,6 +93,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N, internally
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*> used to select NB such that LTB >= (3*NB+1)*N.
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*>
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@ -112,7 +113,7 @@
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*>
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*> \param[out] IPIV2
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*> \verbatim
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*> IPIV is INTEGER array, dimension (N)
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*> IPIV2 is INTEGER array, dimension (N)
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*> On exit, it contains the details of the interchanges, i.e.,
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*> the row and column k of T were interchanged with the
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*> row and column IPIV(k).
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@ -125,6 +126,7 @@
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*>
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*> \param[in] LWORK
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*> \verbatim
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*> LWORK is INTEGER
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*> The size of WORK. LWORK >= N, internally used to select NB
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*> such that LWORK >= N*NB.
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*>
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@ -662,6 +664,8 @@ c $ (J+1)*NB+1, (J+1)*NB+KB, IPIV, 1 )
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*
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* Factor the band matrix
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CALL CGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
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*
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RETURN
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*
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* End of CSYTRF_AA_2STAGE
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*
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@ -96,11 +96,11 @@
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*> LWORK is INTEGER
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*> The dimension of the array WORK.
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*> WORK is size >= (N+NB+1)*(NB+3)
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*> If LDWORK = -1, then a workspace query is assumed; the routine
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*> If LWORK = -1, then a workspace query is assumed; the routine
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*> calculates:
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*> - the optimal size of the WORK array, returns
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*> this value as the first entry of the WORK array,
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*> - and no error message related to LDWORK is issued by XERBLA.
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*> - and no error message related to LWORK is issued by XERBLA.
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*> \endverbatim
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*>
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*> \param[out] INFO
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@ -163,7 +163,7 @@
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UPPER = LSAME( UPLO, 'U' )
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LQUERY = ( LWORK.EQ.-1 )
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* Get blocksize
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NBMAX = ILAENV( 1, 'CSYTRF', UPLO, N, -1, -1, -1 )
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NBMAX = ILAENV( 1, 'CSYTRI2', UPLO, N, -1, -1, -1 )
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IF ( NBMAX .GE. N ) THEN
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MINSIZE = N
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ELSE
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@ -85,6 +85,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N.
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*> \endverbatim
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*>
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@ -27,8 +27,8 @@
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* ..
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* .. Array Arguments ..
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* LOGICAL SELECT( * )
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* REAL RWORK( * )
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* COMPLEX T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
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* REAL RWORK( * )
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* COMPLEX T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
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* $ WORK( * )
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* ..
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*
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@ -258,17 +258,17 @@
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* ..
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* .. Array Arguments ..
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LOGICAL SELECT( * )
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REAL RWORK( * )
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COMPLEX T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
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REAL RWORK( * )
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COMPLEX T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
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$ WORK( * )
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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REAL ZERO, ONE
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REAL ZERO, ONE
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PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 )
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COMPLEX CZERO, CONE
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COMPLEX CZERO, CONE
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PARAMETER ( CZERO = ( 0.0E+0, 0.0E+0 ),
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$ CONE = ( 1.0E+0, 0.0E+0 ) )
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INTEGER NBMIN, NBMAX
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@ -277,13 +277,13 @@
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* .. Local Scalars ..
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LOGICAL ALLV, BOTHV, LEFTV, LQUERY, OVER, RIGHTV, SOMEV
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INTEGER I, II, IS, J, K, KI, IV, MAXWRK, NB
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REAL OVFL, REMAX, SCALE, SMIN, SMLNUM, ULP, UNFL
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COMPLEX CDUM
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REAL OVFL, REMAX, SCALE, SMIN, SMLNUM, ULP, UNFL
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COMPLEX CDUM
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* ..
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* .. External Functions ..
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LOGICAL LSAME
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INTEGER ILAENV, ICAMAX
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REAL SLAMCH, SCASUM
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REAL SLAMCH, SCASUM
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EXTERNAL LSAME, ILAENV, ICAMAX, SLAMCH, SCASUM
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* ..
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* .. External Subroutines ..
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@ -158,7 +158,7 @@
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INTEGER I, IB, IINFO, K
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* ..
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* .. External Subroutines ..
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EXTERNAL DGEQRT2, DGELQT3, DGEQRT3, DLARFB, XERBLA
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EXTERNAL DGELQT3, DLARFB, XERBLA
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* ..
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* .. Executable Statements ..
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*
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@ -230,7 +230,7 @@
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INFO = 10
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END IF
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IF( INFO.NE.0 )THEN
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CALL XERBLA( 'DSYMV ', INFO )
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CALL XERBLA( 'DLA_SYAMV', INFO )
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RETURN
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END IF
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*
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@ -147,6 +147,13 @@
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INTRINSIC ABS
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* ..
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* .. Executable Statements ..
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*
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* Quick return if possible
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*
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IF( N.NE.2 .AND. N.NE.3 ) THEN
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RETURN
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END IF
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*
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IF( N.EQ.2 ) THEN
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S = ABS( H( 1, 1 )-SR2 ) + ABS( SI2 ) + ABS( H( 2, 1 ) )
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IF( S.EQ.ZERO ) THEN
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@ -221,9 +221,6 @@
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LWKOPT_SYTRS = INT( WORK(1) )
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LWKOPT = MAX( LWKOPT_SYTRF, LWKOPT_SYTRS )
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WORK( 1 ) = LWKOPT
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IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
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INFO = -10
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END IF
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END IF
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*
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IF( INFO.NE.0 ) THEN
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@ -107,6 +107,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N, internally
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*> used to select NB such that LTB >= (3*NB+1)*N.
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*>
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@ -126,7 +127,7 @@
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*>
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*> \param[out] IPIV2
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*> \verbatim
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*> IPIV is INTEGER array, dimension (N)
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*> IPIV2 is INTEGER array, dimension (N)
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*> On exit, it contains the details of the interchanges, i.e.,
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*> the row and column k of T were interchanged with the
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*> row and column IPIV(k).
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@ -152,6 +153,7 @@
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*>
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*> \param[in] LWORK
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*> \verbatim
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*> LWORK is INTEGER
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*> The size of WORK. LWORK >= N, internally used to select NB
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*> such that LWORK >= N*NB.
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*>
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@ -235,19 +237,18 @@
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INFO = -3
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ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
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INFO = -5
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ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
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INFO = -7
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ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
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INFO = -11
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ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
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INFO = -13
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END IF
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*
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IF( INFO.EQ.0 ) THEN
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CALL DSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
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$ IPIV2, WORK, -1, INFO )
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LWKOPT = INT( WORK(1) )
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IF( LTB.LT.INT( TB(1) ) .AND. .NOT.TQUERY ) THEN
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INFO = -7
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ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.WQUERY ) THEN
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INFO = -13
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END IF
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END IF
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*
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IF( INFO.NE.0 ) THEN
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@ -93,6 +93,7 @@
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*>
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*> \param[in] LTB
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*> \verbatim
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*> LTB is INTEGER
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*> The size of the array TB. LTB >= 4*N, internally
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||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -109,6 +110,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -128,10 +130,10 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
*> row and column IPIV2(k).
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] INFO
|
||||
|
@ -641,6 +643,8 @@ c $ (J+1)*NB+1, (J+1)*NB+KB, IPIV, 1 )
|
|||
*
|
||||
* Factor the band matrix
|
||||
CALL DGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
|
||||
*
|
||||
RETURN
|
||||
*
|
||||
* End of DSYTRF_AA_2STAGE
|
||||
*
|
||||
|
|
|
@ -96,11 +96,11 @@
|
|||
*> LWORK is INTEGER
|
||||
*> The dimension of the array WORK.
|
||||
*> WORK is size >= (N+NB+1)*(NB+3)
|
||||
*> If LDWORK = -1, then a workspace query is assumed; the routine
|
||||
*> If LWORK = -1, then a workspace query is assumed; the routine
|
||||
*> calculates:
|
||||
*> - the optimal size of the WORK array, returns
|
||||
*> this value as the first entry of the WORK array,
|
||||
*> - and no error message related to LDWORK is issued by XERBLA.
|
||||
*> - and no error message related to LWORK is issued by XERBLA.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] INFO
|
||||
|
@ -163,7 +163,7 @@
|
|||
UPPER = LSAME( UPLO, 'U' )
|
||||
LQUERY = ( LWORK.EQ.-1 )
|
||||
* Get blocksize
|
||||
NBMAX = ILAENV( 1, 'DSYTRF', UPLO, N, -1, -1, -1 )
|
||||
NBMAX = ILAENV( 1, 'DSYTRI2', UPLO, N, -1, -1, -1 )
|
||||
IF ( NBMAX .GE. N ) THEN
|
||||
MINSIZE = N
|
||||
ELSE
|
||||
|
|
|
@ -85,6 +85,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N.
|
||||
*> \endverbatim
|
||||
*>
|
||||
|
|
|
@ -45,9 +45,9 @@
|
|||
*> The right eigenvector x and the left eigenvector y of T corresponding
|
||||
*> to an eigenvalue w are defined by:
|
||||
*>
|
||||
*> T*x = w*x, (y**H)*T = w*(y**H)
|
||||
*> T*x = w*x, (y**T)*T = w*(y**T)
|
||||
*>
|
||||
*> where y**H denotes the conjugate transpose of y.
|
||||
*> where y**T denotes the transpose of the vector y.
|
||||
*> The eigenvalues are not input to this routine, but are read directly
|
||||
*> from the diagonal blocks of T.
|
||||
*>
|
||||
|
|
|
@ -104,13 +104,13 @@
|
|||
*>
|
||||
*> \param[in] NAME
|
||||
*> \verbatim
|
||||
*> NAME is character string
|
||||
*> NAME is CHARACTER string
|
||||
*> Name of the calling subroutine
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] OPTS
|
||||
*> \verbatim
|
||||
*> OPTS is character string
|
||||
*> OPTS is CHARACTER string
|
||||
*> This is a concatenation of the string arguments to
|
||||
*> TTQRE.
|
||||
*> \endverbatim
|
||||
|
|
|
@ -230,7 +230,7 @@
|
|||
INFO = 10
|
||||
END IF
|
||||
IF( INFO.NE.0 )THEN
|
||||
CALL XERBLA( 'SSYMV ', INFO )
|
||||
CALL XERBLA( 'SLA_SYAMV', INFO )
|
||||
RETURN
|
||||
END IF
|
||||
*
|
||||
|
|
|
@ -147,6 +147,13 @@
|
|||
INTRINSIC ABS
|
||||
* ..
|
||||
* .. Executable Statements ..
|
||||
*
|
||||
* Quick return if possible
|
||||
*
|
||||
IF( N.NE.2 .AND. N.NE.3 ) THEN
|
||||
RETURN
|
||||
END IF
|
||||
*
|
||||
IF( N.EQ.2 ) THEN
|
||||
S = ABS( H( 1, 1 )-SR2 ) + ABS( SI2 ) + ABS( H( 2, 1 ) )
|
||||
IF( S.EQ.ZERO ) THEN
|
||||
|
|
|
@ -220,9 +220,6 @@
|
|||
LWKOPT_SYTRS = INT( WORK(1) )
|
||||
LWKOPT = MAX( LWKOPT_SYTRF, LWKOPT_SYTRS )
|
||||
WORK( 1 ) = LWKOPT
|
||||
IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
|
||||
INFO = -10
|
||||
END IF
|
||||
END IF
|
||||
*
|
||||
IF( INFO.NE.0 ) THEN
|
||||
|
|
|
@ -106,6 +106,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N, internally
|
||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -125,7 +126,7 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
|
@ -151,6 +152,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -234,19 +236,18 @@
|
|||
INFO = -3
|
||||
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -5
|
||||
ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
|
||||
INFO = -7
|
||||
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -11
|
||||
ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
|
||||
INFO = -13
|
||||
END IF
|
||||
*
|
||||
IF( INFO.EQ.0 ) THEN
|
||||
CALL SSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
|
||||
$ IPIV2, WORK, -1, INFO )
|
||||
LWKOPT = INT( WORK(1) )
|
||||
IF( LTB.LT.INT( TB(1) ) .AND. .NOT.TQUERY ) THEN
|
||||
INFO = -7
|
||||
ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.WQUERY ) THEN
|
||||
INFO = -13
|
||||
END IF
|
||||
END IF
|
||||
*
|
||||
IF( INFO.NE.0 ) THEN
|
||||
|
|
|
@ -93,6 +93,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N, internally
|
||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -112,7 +113,7 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
|
@ -125,6 +126,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -641,6 +643,8 @@ c $ (J+1)*NB+1, (J+1)*NB+KB, IPIV, 1 )
|
|||
*
|
||||
* Factor the band matrix
|
||||
CALL SGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
|
||||
*
|
||||
RETURN
|
||||
*
|
||||
* End of SSYTRF_AA_2STAGE
|
||||
*
|
||||
|
|
|
@ -96,11 +96,11 @@
|
|||
*> LWORK is INTEGER
|
||||
*> The dimension of the array WORK.
|
||||
*> WORK is size >= (N+NB+1)*(NB+3)
|
||||
*> If LDWORK = -1, then a workspace query is assumed; the routine
|
||||
*> If LWORK = -1, then a workspace query is assumed; the routine
|
||||
*> calculates:
|
||||
*> - the optimal size of the WORK array, returns
|
||||
*> this value as the first entry of the WORK array,
|
||||
*> - and no error message related to LDWORK is issued by XERBLA.
|
||||
*> - and no error message related to LWORK is issued by XERBLA.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[out] INFO
|
||||
|
|
|
@ -85,6 +85,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N.
|
||||
*> \endverbatim
|
||||
*>
|
||||
|
|
|
@ -27,7 +27,7 @@
|
|||
* ..
|
||||
* .. Array Arguments ..
|
||||
* LOGICAL SELECT( * )
|
||||
* REAL T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
|
||||
* REAL T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
|
||||
* $ WORK( * )
|
||||
* ..
|
||||
*
|
||||
|
@ -45,9 +45,9 @@
|
|||
*> The right eigenvector x and the left eigenvector y of T corresponding
|
||||
*> to an eigenvalue w are defined by:
|
||||
*>
|
||||
*> T*x = w*x, (y**H)*T = w*(y**H)
|
||||
*> T*x = w*x, (y**T)*T = w*(y**T)
|
||||
*>
|
||||
*> where y**H denotes the conjugate transpose of y.
|
||||
*> where y**T denotes the transpose of the vector y.
|
||||
*> The eigenvalues are not input to this routine, but are read directly
|
||||
*> from the diagonal blocks of T.
|
||||
*>
|
||||
|
@ -251,14 +251,14 @@
|
|||
* ..
|
||||
* .. Array Arguments ..
|
||||
LOGICAL SELECT( * )
|
||||
REAL T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
|
||||
REAL T( LDT, * ), VL( LDVL, * ), VR( LDVR, * ),
|
||||
$ WORK( * )
|
||||
* ..
|
||||
*
|
||||
* =====================================================================
|
||||
*
|
||||
* .. Parameters ..
|
||||
REAL ZERO, ONE
|
||||
REAL ZERO, ONE
|
||||
PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 )
|
||||
INTEGER NBMIN, NBMAX
|
||||
PARAMETER ( NBMIN = 8, NBMAX = 128 )
|
||||
|
@ -268,7 +268,7 @@
|
|||
$ RIGHTV, SOMEV
|
||||
INTEGER I, IERR, II, IP, IS, J, J1, J2, JNXT, K, KI,
|
||||
$ IV, MAXWRK, NB, KI2
|
||||
REAL BETA, BIGNUM, EMAX, OVFL, REC, REMAX, SCALE,
|
||||
REAL BETA, BIGNUM, EMAX, OVFL, REC, REMAX, SCALE,
|
||||
$ SMIN, SMLNUM, ULP, UNFL, VCRIT, VMAX, WI, WR,
|
||||
$ XNORM
|
||||
* ..
|
||||
|
|
|
@ -704,7 +704,7 @@
|
|||
LWSVDJ = MAX( 2 * N, 1 )
|
||||
LWSVDJV = MAX( 2 * N, 1 )
|
||||
* .. minimal REAL workspace length for ZGEQP3, ZPOCON, ZGESVJ
|
||||
LRWQP3 = N
|
||||
LRWQP3 = 2 * N
|
||||
LRWCON = N
|
||||
LRWSVDJ = N
|
||||
IF ( LQUERY ) THEN
|
||||
|
@ -942,7 +942,7 @@
|
|||
END IF
|
||||
END IF
|
||||
MINWRK = MAX( 2, MINWRK )
|
||||
OPTWRK = MAX( 2, OPTWRK )
|
||||
OPTWRK = MAX( MINWRK, OPTWRK )
|
||||
IF ( LWORK .LT. MINWRK .AND. (.NOT.LQUERY) ) INFO = - 17
|
||||
IF ( LRWORK .LT. MINRWRK .AND. (.NOT.LQUERY) ) INFO = - 19
|
||||
END IF
|
||||
|
|
|
@ -209,6 +209,8 @@
|
|||
INFO = -5
|
||||
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -8
|
||||
ELSE IF( LWORK.LT.MAX(2*N, 3*N-2) .AND. .NOT.LQUERY ) THEN
|
||||
INFO = -10
|
||||
END IF
|
||||
*
|
||||
IF( INFO.EQ.0 ) THEN
|
||||
|
@ -219,9 +221,6 @@
|
|||
LWKOPT_HETRS = INT( WORK(1) )
|
||||
LWKOPT = MAX( LWKOPT_HETRF, LWKOPT_HETRS )
|
||||
WORK( 1 ) = LWKOPT
|
||||
IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
|
||||
INFO = -10
|
||||
END IF
|
||||
END IF
|
||||
*
|
||||
IF( INFO.NE.0 ) THEN
|
||||
|
|
|
@ -106,6 +106,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N, internally
|
||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -125,7 +126,7 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
|
@ -151,6 +152,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -240,19 +242,18 @@
|
|||
INFO = -3
|
||||
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -5
|
||||
ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
|
||||
INFO = -7
|
||||
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -11
|
||||
ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
|
||||
INFO = -13
|
||||
END IF
|
||||
*
|
||||
IF( INFO.EQ.0 ) THEN
|
||||
CALL ZHETRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
|
||||
$ IPIV2, WORK, -1, INFO )
|
||||
LWKOPT = INT( WORK(1) )
|
||||
IF( LTB.LT.INT( TB(1) ) .AND. .NOT.TQUERY ) THEN
|
||||
INFO = -7
|
||||
ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.WQUERY ) THEN
|
||||
INFO = -13
|
||||
END IF
|
||||
END IF
|
||||
*
|
||||
IF( INFO.NE.0 ) THEN
|
||||
|
|
|
@ -93,6 +93,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N, internally
|
||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -112,7 +113,7 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
|
@ -125,6 +126,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -657,6 +659,8 @@ c $ (J+1)*NB+1, (J+1)*NB+KB, IPIV, 1 )
|
|||
*
|
||||
* Factor the band matrix
|
||||
CALL ZGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
|
||||
*
|
||||
RETURN
|
||||
*
|
||||
* End of ZHETRF_AA_2STAGE
|
||||
*
|
||||
|
|
|
@ -69,7 +69,7 @@
|
|||
*>
|
||||
*> \param[in] A
|
||||
*> \verbatim
|
||||
*> A is COMPLEX*16array, dimension (LDA,N)
|
||||
*> A is COMPLEX*16 array, dimension (LDA,N)
|
||||
*> Details of factors computed by ZHETRF_AA_2STAGE.
|
||||
*> \endverbatim
|
||||
*>
|
||||
|
@ -81,12 +81,13 @@
|
|||
*>
|
||||
*> \param[out] TB
|
||||
*> \verbatim
|
||||
*> TB is COMPLEX*16array, dimension (LTB)
|
||||
*> TB is COMPLEX*16 array, dimension (LTB)
|
||||
*> Details of factors computed by ZHETRF_AA_2STAGE.
|
||||
*> \endverbatim
|
||||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N.
|
||||
*> \endverbatim
|
||||
*>
|
||||
|
@ -106,7 +107,7 @@
|
|||
*>
|
||||
*> \param[in,out] B
|
||||
*> \verbatim
|
||||
*> B is COMPLEX*16array, dimension (LDB,NRHS)
|
||||
*> B is COMPLEX*16 array, dimension (LDB,NRHS)
|
||||
*> On entry, the right hand side matrix B.
|
||||
*> On exit, the solution matrix X.
|
||||
*> \endverbatim
|
||||
|
|
|
@ -241,7 +241,7 @@
|
|||
INFO = 10
|
||||
END IF
|
||||
IF( INFO.NE.0 )THEN
|
||||
CALL XERBLA( 'DSYMV ', INFO )
|
||||
CALL XERBLA( 'ZLA_SYAMV', INFO )
|
||||
RETURN
|
||||
END IF
|
||||
*
|
||||
|
|
|
@ -142,6 +142,13 @@
|
|||
CABS1( CDUM ) = ABS( DBLE( CDUM ) ) + ABS( DIMAG( CDUM ) )
|
||||
* ..
|
||||
* .. Executable Statements ..
|
||||
*
|
||||
* Quick return if possible
|
||||
*
|
||||
IF( N.NE.2 .AND. N.NE.3 ) THEN
|
||||
RETURN
|
||||
END IF
|
||||
*
|
||||
IF( N.EQ.2 ) THEN
|
||||
S = CABS1( H( 1, 1 )-S2 ) + CABS1( H( 2, 1 ) )
|
||||
IF( S.EQ.RZERO ) THEN
|
||||
|
|
|
@ -221,9 +221,6 @@
|
|||
LWKOPT_SYTRS = INT( WORK(1) )
|
||||
LWKOPT = MAX( LWKOPT_SYTRF, LWKOPT_SYTRS )
|
||||
WORK( 1 ) = LWKOPT
|
||||
IF( LWORK.LT.LWKOPT .AND. .NOT.LQUERY ) THEN
|
||||
INFO = -10
|
||||
END IF
|
||||
END IF
|
||||
*
|
||||
IF( INFO.NE.0 ) THEN
|
||||
|
|
|
@ -105,6 +105,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N, internally
|
||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -124,7 +125,7 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
|
@ -150,6 +151,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -233,19 +235,18 @@
|
|||
INFO = -3
|
||||
ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -5
|
||||
ELSE IF( LTB.LT.( 4*N ) .AND. .NOT.TQUERY ) THEN
|
||||
INFO = -7
|
||||
ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
|
||||
INFO = -11
|
||||
ELSE IF( LWORK.LT.N .AND. .NOT.WQUERY ) THEN
|
||||
INFO = -13
|
||||
END IF
|
||||
*
|
||||
IF( INFO.EQ.0 ) THEN
|
||||
CALL ZSYTRF_AA_2STAGE( UPLO, N, A, LDA, TB, -1, IPIV,
|
||||
$ IPIV2, WORK, -1, INFO )
|
||||
LWKOPT = INT( WORK(1) )
|
||||
IF( LTB.LT.INT( TB(1) ) .AND. .NOT.TQUERY ) THEN
|
||||
INFO = -7
|
||||
ELSE IF( LWORK.LT.LWKOPT .AND. .NOT.WQUERY ) THEN
|
||||
INFO = -13
|
||||
END IF
|
||||
END IF
|
||||
*
|
||||
IF( INFO.NE.0 ) THEN
|
||||
|
|
|
@ -93,6 +93,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N, internally
|
||||
*> used to select NB such that LTB >= (3*NB+1)*N.
|
||||
*>
|
||||
|
@ -112,7 +113,7 @@
|
|||
*>
|
||||
*> \param[out] IPIV2
|
||||
*> \verbatim
|
||||
*> IPIV is INTEGER array, dimension (N)
|
||||
*> IPIV2 is INTEGER array, dimension (N)
|
||||
*> On exit, it contains the details of the interchanges, i.e.,
|
||||
*> the row and column k of T were interchanged with the
|
||||
*> row and column IPIV(k).
|
||||
|
@ -125,6 +126,7 @@
|
|||
*>
|
||||
*> \param[in] LWORK
|
||||
*> \verbatim
|
||||
*> LWORK is INTEGER
|
||||
*> The size of WORK. LWORK >= N, internally used to select NB
|
||||
*> such that LWORK >= N*NB.
|
||||
*>
|
||||
|
@ -662,6 +664,8 @@ c $ (J+1)*NB+1, (J+1)*NB+KB, IPIV, 1 )
|
|||
*
|
||||
* Factor the band matrix
|
||||
CALL ZGBTRF( N, N, NB, NB, TB, LDTB, IPIV2, INFO )
|
||||
*
|
||||
RETURN
|
||||
*
|
||||
* End of ZSYTRF_AA_2STAGE
|
||||
*
|
||||
|
|
|
@ -163,7 +163,7 @@
|
|||
UPPER = LSAME( UPLO, 'U' )
|
||||
LQUERY = ( LWORK.EQ.-1 )
|
||||
* Get blocksize
|
||||
NBMAX = ILAENV( 1, 'ZSYTRF', UPLO, N, -1, -1, -1 )
|
||||
NBMAX = ILAENV( 1, 'ZSYTRI2', UPLO, N, -1, -1, -1 )
|
||||
IF ( NBMAX .GE. N ) THEN
|
||||
MINSIZE = N
|
||||
ELSE
|
||||
|
|
|
@ -85,6 +85,7 @@
|
|||
*>
|
||||
*> \param[in] LTB
|
||||
*> \verbatim
|
||||
*> LTB is INTEGER
|
||||
*> The size of the array TB. LTB >= 4*N.
|
||||
*> \endverbatim
|
||||
*>
|
||||
|
|
Loading…
Reference in New Issue