table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dtrt03.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dtrt03.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/dtrt03.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DTRT03 (uplo, trans, diag, n, nrhs, a, lda,
scale, cnorm, tscal, x, ldx, b, ldb, work, resid)
DTRT03
Function/Subroutine Documentation¶
subroutine DTRT03 (character uplo, character trans, character diag, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision scale, double precision, dimension( * ) cnorm, double precision tscal, double precision, dimension( ldx, * ) x, integer ldx, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( * ) work, double precision resid)¶
DTRT03
Purpose:
!> !> DTRT03 computes the residual for the solution to a scaled triangular !> system of equations A*x = s*b or A'*x = s*b. !> Here A is a triangular matrix, A' is the transpose of A, s is a !> scalar, and x and b are N by NRHS matrices. The test ratio is the !> maximum over the number of right hand sides of !> norm(s*b - op(A)*x) / ( norm(op(A)) * norm(x) * EPS ), !> where op(A) denotes A or A' and EPS is the machine epsilon. !>
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 = s*b (No transpose) !> = 'T': A'*x = s*b (Transpose) !> = 'C': A'*x = s*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). !>
SCALE
!> SCALE is DOUBLE PRECISION !> The scaling factor s used in solving the triangular system. !>
CNORM
!> CNORM is DOUBLE PRECISION array, dimension (N) !> The 1-norms of the columns of A, not counting the diagonal. !>
TSCAL
!> TSCAL is DOUBLE PRECISION !> The scaling factor used in computing the 1-norms in CNORM. !> CNORM actually contains the column norms of TSCAL*A. !>
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 - s*b) / ( norm(op(A)) * norm(x) * EPS ). !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 167 of file dtrt03.f.
Author¶
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