table of contents
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/dtrt02.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/dtrt02.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/dtrt02.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DTRT02 (uplo, trans, diag, n, nrhs, a, lda, x,
ldx, b, ldb, work, resid)
DTRT02
Function/Subroutine Documentation¶
subroutine DTRT02 (character uplo, character trans, character diag, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldx, * ) x, integer ldx, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( * ) work, double precision resid)¶
DTRT02
Purpose:
!> !> DTRT02 computes the residual for the computed solution to a !> triangular system of linear equations op(A)*X = B, where A is a !> triangular matrix. The test ratio is the maximum over !> norm(b - op(A)*x) / ( ||op(A)||_1 * norm(x) * EPS ), !> where op(A) = A or A**T, b is the column of B, x is the solution !> vector, and EPS is the machine epsilon. !> The norm used is the 1-norm. !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the matrix A is upper or lower triangular. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
TRANS
!> TRANS is CHARACTER*1 !> Specifies the operation applied to A. !> = 'N': A * X = B (No transpose) !> = 'T': A**T * X = B (Transpose) !> = 'C': A**H * X = B (Conjugate transpose = Transpose) !>
DIAG
!> DIAG is CHARACTER*1 !> Specifies whether or not the matrix A is unit triangular. !> = 'N': Non-unit triangular !> = 'U': Unit triangular !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of right hand sides, i.e., the number of columns !> of the matrices X and B. NRHS >= 0. !>
A
!> A is DOUBLE PRECISION array, dimension (LDA,N) !> The triangular matrix A. If UPLO = 'U', the leading n by n !> upper triangular part of the array A contains the upper !> triangular matrix, and the strictly lower triangular part of !> A is not referenced. If UPLO = 'L', the leading n by n lower !> triangular part of the array A contains the lower triangular !> matrix, and the strictly upper triangular part of A is not !> referenced. If DIAG = 'U', the diagonal elements of A are !> also not referenced and are assumed to be 1. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
X
!> X is DOUBLE PRECISION 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. LDX >= max(1,N). !>
B
!> B is DOUBLE PRECISION array, dimension (LDB,NRHS) !> The right hand side vectors for the system of linear !> equations. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. LDB >= max(1,N). !>
WORK
!> WORK is DOUBLE PRECISION array, dimension (N) !>
RESID
!> RESID is DOUBLE PRECISION !> The maximum over the number of right hand sides of !> norm(op(A)*X - B) / ( norm(op(A)) * norm(X) * EPS ). !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 148 of file dtrt02.f.
Author¶
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Version 3.12.0 | LAPACK |