diff --git a/lapack-netlib/SRC/dlasd4.f b/lapack-netlib/SRC/dlasd4.f index 877560ced..838f7162d 100644 --- a/lapack-netlib/SRC/dlasd4.f +++ b/lapack-netlib/SRC/dlasd4.f @@ -223,6 +223,7 @@ * EPS = DLAMCH( 'Epsilon' ) RHOINV = ONE / RHO + TAU2= ZERO * * The case I = N * @@ -275,6 +276,7 @@ ELSE TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) END IF + TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) END IF * * It can be proved that @@ -293,6 +295,8 @@ ELSE TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) END IF + TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) + * * It can be proved that * 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 ) * - TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) +* TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) * SIGMA = D( N ) + TAU DO 30 J = 1, N diff --git a/lapack-netlib/SRC/slasd4.f b/lapack-netlib/SRC/slasd4.f index 6bed144a5..bf0f2cf3e 100644 --- a/lapack-netlib/SRC/slasd4.f +++ b/lapack-netlib/SRC/slasd4.f @@ -223,6 +223,7 @@ * EPS = SLAMCH( 'Epsilon' ) RHOINV = ONE / RHO + TAU2= ZERO * * The case I = N * @@ -275,6 +276,7 @@ ELSE TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) END IF + TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) END IF * * It can be proved that @@ -293,6 +295,8 @@ ELSE TAU2 = ( A+SQRT( A*A+FOUR*B*C ) ) / ( TWO*C ) END IF + TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) + * * It can be proved that * 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 ) * - TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) +* TAU = TAU2 / ( D( N )+SQRT( D( N )*D( N )+TAU2 ) ) * SIGMA = D( N ) + TAU DO 30 J = 1, N