table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/ctpt02.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/ctpt02.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/ctpt02.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CTPT02 (uplo, trans, diag, n, nrhs, ap, x, ldx,
b, ldb, work, rwork, resid)
CTPT02
Function/Subroutine Documentation¶
subroutine CTPT02 (character uplo, character trans, character diag, integer n, integer nrhs, complex, dimension( * ) ap, complex, dimension( ldx, * ) x, integer ldx, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( * ) work, real, dimension( * ) rwork, real resid)¶
CTPT02
Purpose:
!> !> CTPT02 computes the residual for the computed solution to a !> triangular system of linear equations op(A)*X = B, when the !> triangular matrix A is stored in packed format. The test ratio is !> the maximum over !> norm(b - op(A)*x) / ( ||op(A)||_1 * norm(x) * EPS ), !> where op(A) = A, A**T, or A**H, b is the column of B, x is the !> solution vector, 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 = B (No transpose) !> = 'T': A**T * X = B (Transpose) !> = 'C': A**H * X = B (Conjugate 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. !>
AP
!> AP is COMPLEX array, dimension (N*(N+1)/2) !> The upper or lower triangular matrix A, packed columnwise in !> a linear array. The j-th column of A is stored in the array !> AP as follows: !> if UPLO = 'U', AP((j-1)*j/2 + i) = A(i,j) for 1<=i<=j; !> if UPLO = 'L', !> AP((j-1)*(n-j) + j*(j+1)/2 + i-j) = A(i,j) for j<=i<=n. !>
X
!> X is COMPLEX 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 COMPLEX 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 COMPLEX array, dimension (N) !>
RWORK
!> RWORK is REAL array, dimension (N) !>
RESID
!> RESID is REAL !> The maximum over the number of right hand sides of !> norm(op(A)*B - B) / ( norm(op(A)) * norm(X) * EPS ). !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 145 of file ctpt02.f.
Author¶
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Version 3.12.0 | LAPACK |