table of contents
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ztrt01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ztrt01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ztrt01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZTRT01 (uplo, diag, n, a, lda, ainv, ldainv,
rcond, rwork, resid)
ZTRT01
Function/Subroutine Documentation¶
subroutine ZTRT01 (character uplo, character diag, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldainv, * ) ainv, integer ldainv, double precision rcond, double precision, dimension( * ) rwork, double precision resid)¶
ZTRT01
Purpose:
!> !> ZTRT01 computes the residual for a triangular matrix A times its !> inverse: !> RESID = norm( A*AINV - I ) / ( N * norm(A) * norm(AINV) * EPS ), !> where 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 !>
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. !>
A
!> A is COMPLEX*16 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). !>
AINV
!> AINV is COMPLEX*16 array, dimension (LDAINV,N) !> On entry, the (triangular) inverse of the matrix A, in the !> same storage format as A. !> On exit, the contents of AINV are destroyed. !>
LDAINV
!> LDAINV is INTEGER !> The leading dimension of the array AINV. LDAINV >= max(1,N). !>
RCOND
!> RCOND is DOUBLE PRECISION !> The reciprocal condition number of A, computed as !> 1/(norm(A) * norm(AINV)). !>
RWORK
!> RWORK is DOUBLE PRECISION array, dimension (N) !>
RESID
!> RESID is DOUBLE PRECISION !> norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 123 of file ztrt01.f.
Author¶
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