table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sgbt02.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sgbt02.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sgbt02.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SGBT02 (trans, m, n, kl, ku, nrhs, a, lda, x,
ldx, b, ldb, rwork, resid)
SGBT02
Function/Subroutine Documentation¶
subroutine SGBT02 (character trans, integer m, integer n, integer kl, integer ku, integer nrhs, real, dimension( lda, * ) a, integer lda, real, dimension( ldx, * ) x, integer ldx, real, dimension( ldb, * ) b, integer ldb, real, dimension( * ) rwork, real resid)¶
SGBT02
Purpose:
!> !> SGBT02 computes the residual for a solution of a banded system of !> equations op(A)*X = B: !> RESID = norm(B - op(A)*X) / ( norm(op(A)) * norm(X) * EPS ), !> where op(A) = A or A**T, depending on TRANS, and EPS is the !> machine epsilon. !> The norm used is the 1-norm. !>
Parameters
TRANS
!> TRANS is CHARACTER*1 !> Specifies the form of the system of equations: !> = 'N': A * X = B (No transpose) !> = 'T': A**T * X = B (Transpose) !> = 'C': A**H * X = B (Conjugate transpose = Transpose) !>
M
!> M is INTEGER !> The number of rows of the matrix A. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix A. N >= 0. !>
KL
!> KL is INTEGER !> The number of subdiagonals within the band of A. KL >= 0. !>
KU
!> KU is INTEGER !> The number of superdiagonals within the band of A. KU >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of columns of B. NRHS >= 0. !>
A
!> A is REAL array, dimension (LDA,N) !> The original matrix A in band storage, stored in rows 1 to !> KL+KU+1. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,KL+KU+1). !>
X
!> X is REAL array, dimension (LDX,NRHS) !> The computed solution vectors for the system of linear !> equations. !>
LDX
!> LDX is INTEGER !> The leading dimension of the array X. If TRANS = 'N', !> LDX >= max(1,N); if TRANS = 'T' or 'C', LDX >= max(1,M). !>
B
!> B is REAL array, dimension (LDB,NRHS) !> On entry, the right hand side vectors for the system of !> linear equations. !> On exit, B is overwritten with the difference B - A*X. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. IF TRANS = 'N', !> LDB >= max(1,M); if TRANS = 'T' or 'C', LDB >= max(1,N). !>
RWORK
!> RWORK is REAL array, dimension (MAX(1,LRWORK)), !> where LRWORK >= M when TRANS = 'T' or 'C'; otherwise, RWORK !> is not referenced. !>
RESID
!> RESID is REAL !> The maximum over the number of right hand sides of !> norm(B - op(A)*X) / ( norm(op(A)) * norm(X) * EPS ). !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 147 of file sgbt02.f.
Author¶
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Version 3.12.0 | LAPACK |