TESTING/LIN/zgbt02.f(3) | Library Functions Manual | TESTING/LIN/zgbt02.f(3) |
NAME
TESTING/LIN/zgbt02.f
SYNOPSIS
Functions/Subroutines
subroutine zgbt02 (trans, m, n, kl, ku, nrhs, a, lda, x,
ldx, b, ldb, rwork, resid)
ZGBT02
Function/Subroutine Documentation
subroutine zgbt02 (character trans, integer m, integer n, integer kl, integer ku, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldx, * ) x, integer ldx, complex*16, dimension( ldb, * ) b, integer ldb, double precision, dimension( * ) rwork, double precision resid)
ZGBT02
Purpose:
ZGBT02 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, A**T, or A**H, depending on TRANS, and EPS is the machine epsilon.
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)
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 COMPLEX*16 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 COMPLEX*16 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 COMPLEX*16 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 DOUBLE PRECISION array, dimension (MAX(1,LRWORK)), where LRWORK >= M when TRANS = 'T' or 'C'; otherwise, RWORK is not referenced.
RESID
RESID is DOUBLE PRECISION 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 146 of file zgbt02.f.
Author
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