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Merge pull request #280 from ViralBShah/develop 

Patch LAPACK XLASD4.f as discussed in JuliaLang/julia#2340
This commit is contained in:
Zhang Xianyi 2013-08-21 08:21:51 -07:00
parent c92ae012a6 eae6920f2d
commit df554aebd2
2 changed files with 10 additions and 2 deletions
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6
lapack-netlib/SRC/dlasd4.f
View File

@ -223,6 +223,7 @@
* *
EPS = DLAMCH( 'Epsilon' ) EPS = DLAMCH( 'Epsilon' )
RHOINV = ONE / RHO RHOINV = ONE / RHO
TAU2= ZERO
* *
* The case I = N * The case I = N
* *
@ -275,6 +276,7 @@
ELSE ELSE
TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C )
END IF END IF
TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) )
END IF END IF
* *
* It can be proved that * It can be proved that
@ -293,6 +295,8 @@
ELSE ELSE
TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C )
END IF END IF
TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) )
* *
* It can be proved that * It can be proved that
* D(N)^2 < D(N)^2+TAU2 < SIGMA(N)^2 < D(N)^2+RHO/2 * D(N)^2 < D(N)^2+TAU2 < SIGMA(N)^2 < D(N)^2+RHO/2
@ -301,7 +305,7 @@
* *
* The following TAU is to approximate SIGMA_n - D( N ) * The following TAU is to approximate SIGMA_n - D( N )
* *
TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) * TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) )
* *
SIGMA = D( N ) + TAU SIGMA = D( N ) + TAU
DO 30 J = 1, N DO 30 J = 1, N

6
lapack-netlib/SRC/slasd4.f
View File

@ -223,6 +223,7 @@
* *
EPS = SLAMCH( 'Epsilon' ) EPS = SLAMCH( 'Epsilon' )
RHOINV = ONE / RHO RHOINV = ONE / RHO
TAU2= ZERO
* *
* The case I = N * The case I = N
* *
@ -275,6 +276,7 @@
ELSE ELSE
TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C )
END IF END IF
TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) )
END IF END IF
* *
* It can be proved that * It can be proved that
@ -293,6 +295,8 @@
ELSE ELSE
TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C )
END IF END IF
TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) )
* *
* It can be proved that * It can be proved that
* D(N)^2 < D(N)^2+TAU2 < SIGMA(N)^2 < D(N)^2+RHO/2 * D(N)^2 < D(N)^2+TAU2 < SIGMA(N)^2 < D(N)^2+RHO/2
@ -301,7 +305,7 @@
* *
* The following TAU is to approximate SIGMA_n - D( N ) * The following TAU is to approximate SIGMA_n - D( N )
* *
TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) * TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) )
* *
SIGMA = D( N ) + TAU SIGMA = D( N ) + TAU
DO 30 J = 1, N DO 30 J = 1, N