slasy2 (l) - Linux Manuals

slasy2: solves for the N1 by N2 matrix X, 1 <= N1,N2 <= 2, in op(TL)*X + ISGN*X*op(TR) = SCALE*B,

NAME

SLASY2 - solves for the N1 by N2 matrix X, 1 <= N1,N2 <= 2, in op(TL)*X + ISGN*X*op(TR) = SCALE*B,

SYNOPSIS

SUBROUTINE SLASY2(
LTRANL, LTRANR, ISGN, N1, N2, TL, LDTL, TR, LDTR, B, LDB, SCALE, X, LDX, XNORM, INFO )

    
LOGICAL LTRANL, LTRANR

    
INTEGER INFO, ISGN, LDB, LDTL, LDTR, LDX, N1, N2

    
REAL SCALE, XNORM

    
REAL B( LDB, * ), TL( LDTL, * ), TR( LDTR, * ), X( LDX, * )

PURPOSE

SLASY2 solves for the N1 by N2 matrix X, 1 <= N1,N2 <= 2, in where TL is N1 by N1, TR is N2 by N2, B is N1 by N2, and ISGN = 1 or -1. op(T) = T or Taq, where Taq denotes the transpose of T.

ARGUMENTS

LTRANL (input) LOGICAL
On entry, LTRANL specifies the op(TL): = .FALSE., op(TL) = TL, = .TRUE., op(TL) = TLaq.
LTRANR (input) LOGICAL
On entry, LTRANR specifies the op(TR): = .FALSE., op(TR) = TR, = .TRUE., op(TR) = TRaq.
ISGN (input) INTEGER
On entry, ISGN specifies the sign of the equation as described before. ISGN may only be 1 or -1.
N1 (input) INTEGER
On entry, N1 specifies the order of matrix TL. N1 may only be 0, 1 or 2.
N2 (input) INTEGER
On entry, N2 specifies the order of matrix TR. N2 may only be 0, 1 or 2.
TL (input) REAL array, dimension (LDTL,2)
On entry, TL contains an N1 by N1 matrix.
LDTL (input) INTEGER
The leading dimension of the matrix TL. LDTL >= max(1,N1).
TR (input) REAL array, dimension (LDTR,2)
On entry, TR contains an N2 by N2 matrix.
LDTR (input) INTEGER
The leading dimension of the matrix TR. LDTR >= max(1,N2).
B (input) REAL array, dimension (LDB,2)
On entry, the N1 by N2 matrix B contains the right-hand side of the equation.
LDB (input) INTEGER
The leading dimension of the matrix B. LDB >= max(1,N1).
SCALE (output) REAL
On exit, SCALE contains the scale factor. SCALE is chosen less than or equal to 1 to prevent the solution overflowing.
X (output) REAL array, dimension (LDX,2)
On exit, X contains the N1 by N2 solution.
LDX (input) INTEGER
The leading dimension of the matrix X. LDX >= max(1,N1).
XNORM (output) REAL
On exit, XNORM is the infinity-norm of the solution.
INFO (output) INTEGER
On exit, INFO is set to 0: successful exit.
1: TL and TR have too close eigenvalues, so TL or TR is perturbed to get a nonsingular equation. NOTE: In the interests of speed, this routine does not check the inputs for errors.

Pages related to slasy2

  • slasy2 (3)
  • slasyf (l) - computes a partial factorization of a real symmetric matrix A using the Bunch-Kaufman diagonal pivoting method
  • 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
  • slasd1 (l) - computes the SVD of an upper bidiagonal N-by-M matrix B,
  • slasd2 (l) - merges the two sets of singular values together into a single sorted set
  • slasd3 (l) - finds all the square roots of the roots of the secular equation, as defined by the values in D and Z
  • slasd4 (l) - subroutine compute the square root of the I-th updated eigenvalue of a positive symmetric rank-one modification to a positive diagonal matrix whose entries are given as the squares of the corresponding entries in the array d, and that 0 <= D(i) < D(j) for i < j and that RHO > 0