192 lines
4.1 KiB
Fortran
192 lines
4.1 KiB
Fortran
*> \brief \b CLAKF2
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE CLAKF2( M, N, A, LDA, B, D, E, Z, LDZ )
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*
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* .. Scalar Arguments ..
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* INTEGER LDA, LDZ, M, N
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* ..
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* .. Array Arguments ..
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* COMPLEX A( LDA, * ), B( LDA, * ), D( LDA, * ),
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* $ E( LDA, * ), Z( LDZ, * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> Form the 2*M*N by 2*M*N matrix
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*>
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*> Z = [ kron(In, A) -kron(B', Im) ]
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*> [ kron(In, D) -kron(E', Im) ],
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*>
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*> where In is the identity matrix of size n and X' is the transpose
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*> of X. kron(X, Y) is the Kronecker product between the matrices X
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*> and Y.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] M
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*> \verbatim
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*> M is INTEGER
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*> Size of matrix, must be >= 1.
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*> \endverbatim
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*>
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*> \param[in] N
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*> \verbatim
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*> N is INTEGER
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*> Size of matrix, must be >= 1.
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*> \endverbatim
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*>
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*> \param[in] A
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*> \verbatim
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*> A is COMPLEX, dimension ( LDA, M )
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*> The matrix A in the output matrix Z.
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*> \endverbatim
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*>
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*> \param[in] LDA
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*> \verbatim
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*> LDA is INTEGER
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*> The leading dimension of A, B, D, and E. ( LDA >= M+N )
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*> \endverbatim
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*>
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*> \param[in] B
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*> \verbatim
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*> B is COMPLEX, dimension ( LDA, N )
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*> \endverbatim
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*>
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*> \param[in] D
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*> \verbatim
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*> D is COMPLEX, dimension ( LDA, M )
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*> \endverbatim
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*>
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*> \param[in] E
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*> \verbatim
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*> E is COMPLEX, dimension ( LDA, N )
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*>
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*> The matrices used in forming the output matrix Z.
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*> \endverbatim
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*>
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*> \param[out] Z
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*> \verbatim
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*> Z is COMPLEX, dimension ( LDZ, 2*M*N )
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*> The resultant Kronecker M*N*2 by M*N*2 matrix (see above.)
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*> \endverbatim
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*>
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*> \param[in] LDZ
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*> \verbatim
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*> LDZ is INTEGER
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*> The leading dimension of Z. ( LDZ >= 2*M*N )
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \date November 2011
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*
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*> \ingroup complex_matgen
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*
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* =====================================================================
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SUBROUTINE CLAKF2( M, N, A, LDA, B, D, E, Z, LDZ )
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*
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* -- LAPACK computational routine (version 3.4.0) --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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* November 2011
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*
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* .. Scalar Arguments ..
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INTEGER LDA, LDZ, M, N
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* ..
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* .. Array Arguments ..
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COMPLEX A( LDA, * ), B( LDA, * ), D( LDA, * ),
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$ E( LDA, * ), Z( LDZ, * )
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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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COMPLEX ZERO
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PARAMETER ( ZERO = ( 0.0E+0, 0.0E+0 ) )
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* ..
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* .. Local Scalars ..
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INTEGER I, IK, J, JK, L, MN, MN2
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* ..
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* .. External Subroutines ..
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EXTERNAL CLASET
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* ..
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* .. Executable Statements ..
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*
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* Initialize Z
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*
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MN = M*N
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MN2 = 2*MN
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CALL CLASET( 'Full', MN2, MN2, ZERO, ZERO, Z, LDZ )
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*
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IK = 1
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DO 50 L = 1, N
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*
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* form kron(In, A)
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*
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DO 20 I = 1, M
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DO 10 J = 1, M
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Z( IK+I-1, IK+J-1 ) = A( I, J )
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10 CONTINUE
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20 CONTINUE
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*
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* form kron(In, D)
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*
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DO 40 I = 1, M
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DO 30 J = 1, M
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Z( IK+MN+I-1, IK+J-1 ) = D( I, J )
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30 CONTINUE
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40 CONTINUE
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*
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IK = IK + M
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50 CONTINUE
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*
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IK = 1
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DO 90 L = 1, N
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JK = MN + 1
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*
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DO 80 J = 1, N
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*
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* form -kron(B', Im)
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*
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DO 60 I = 1, M
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Z( IK+I-1, JK+I-1 ) = -B( J, L )
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60 CONTINUE
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*
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* form -kron(E', Im)
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*
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DO 70 I = 1, M
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Z( IK+MN+I-1, JK+I-1 ) = -E( J, L )
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70 CONTINUE
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*
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JK = JK + M
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80 CONTINUE
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*
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IK = IK + M
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90 CONTINUE
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*
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RETURN
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*
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* End of CLAKF2
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*
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END
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