slasq5 (l) - Linux Manuals

slasq5: computes one dqds transform in ping-pong form, one version for IEEE machines another for non IEEE machines

NAME

SLASQ5 - computes one dqds transform in ping-pong form, one version for IEEE machines another for non IEEE machines

SYNOPSIS

SUBROUTINE SLASQ5(
I0, N0, Z, PP, TAU, DMIN, DMIN1, DMIN2, DN, DNM1, DNM2, IEEE )

    
LOGICAL IEEE

    
INTEGER I0, N0, PP

    
REAL DMIN, DMIN1, DMIN2, DN, DNM1, DNM2, TAU

    
REAL Z( * )

PURPOSE

SLASQ5 computes one dqds transform in ping-pong form, one version for IEEE machines another for non IEEE machines.

ARGUMENTS

I0 (input) INTEGER
First index.
N0 (input) INTEGER
Last index.
Z (input) REAL array, dimension ( 4*N )
Z holds the qd array. EMIN is stored in Z(4*N0) to avoid an extra argument.
PP (input) INTEGER
PP=0 for ping, PP=1 for pong.
TAU (input) REAL
This is the shift.
DMIN (output) REAL
Minimum value of d. DMIN1 (output) REAL Minimum value of d, excluding D( N0 ). DMIN2 (output) REAL Minimum value of d, excluding D( N0 ) and D( N0-1 ).
DN (output) REAL
d(N0), the last value of d.
DNM1 (output) REAL
d(N0-1).
DNM2 (output) REAL
d(N0-2).
IEEE (input) LOGICAL
Flag for IEEE or non IEEE arithmetic.

Pages related to slasq5

  • slasq5 (3)
  • slasq1 (l) - computes the singular values of a real N-by-N bidiagonal matrix with diagonal D and off-diagonal E
  • slasq2 (l) - computes all the eigenvalues of the symmetric positive definite tridiagonal matrix associated with the qd array Z to high relative accuracy are computed to high relative accuracy, in the absence of denormalization, underflow and overflow
  • slasq3 (l) - checks for deflation, computes a shift (TAU) and calls dqds
  • slasq4 (l) - computes an approximation TAU to the smallest eigenvalue using values of d from the previous transform
  • slasq6 (l) - computes one dqd (shift equal to zero) transform in ping-pong form, with protection against underflow and overflow
  • slas2 (l) - computes the singular values of the 2-by-2 matrix [ F G ] [ 0 H ]
  • slascl (l) - multiplies the M by N real matrix A by the real scalar CTO/CFROM
  • slascl2 (l) - performs a diagonal scaling on a vector
  • slasd0 (l) - a divide and conquer approach, SLASD0 computes the singular value decomposition (SVD) of a real upper bidiagonal N-by-M matrix B with diagonal D and offdiagonal E, where M = N + SQRE