table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cgerfs.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cgerfs.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/cgerfs.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CGERFS (trans, n, nrhs, a, lda, af, ldaf, ipiv,
b, ldb, x, ldx, ferr, berr, work, rwork, info)
CGERFS
Function/Subroutine Documentation¶
subroutine CGERFS (character trans, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf, integer, dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( ldx, * ) x, integer ldx, real, dimension( * ) ferr, real, dimension( * ) berr, complex, dimension( * ) work, real, dimension( * ) rwork, integer info)¶
CGERFS
Purpose:
!> !> CGERFS improves the computed solution to a system of linear !> equations and provides error bounds and backward error estimates for !> the solution. !>
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) !>
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 B and X. NRHS >= 0. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> The original N-by-N matrix A. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
AF
!> AF is COMPLEX array, dimension (LDAF,N) !> The factors L and U from the factorization A = P*L*U !> as computed by CGETRF. !>
LDAF
!> LDAF is INTEGER !> The leading dimension of the array AF. LDAF >= max(1,N). !>
IPIV
!> IPIV is INTEGER array, dimension (N) !> The pivot indices from CGETRF; for 1<=i<=N, row i of the !> matrix was interchanged with row IPIV(i). !>
B
!> B is COMPLEX array, dimension (LDB,NRHS) !> The right hand side matrix B. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. LDB >= max(1,N). !>
X
!> X is COMPLEX array, dimension (LDX,NRHS) !> On entry, the solution matrix X, as computed by CGETRS. !> On exit, the improved solution matrix X. !>
LDX
!> LDX is INTEGER !> The leading dimension of the array X. LDX >= max(1,N). !>
FERR
!> FERR is REAL array, dimension (NRHS) !> The estimated forward error bound for each solution vector !> X(j) (the j-th column of the solution matrix X). !> If XTRUE is the true solution corresponding to X(j), FERR(j) !> is an estimated upper bound for the magnitude of the largest !> element in (X(j) - XTRUE) divided by the magnitude of the !> largest element in X(j). The estimate is as reliable as !> the estimate for RCOND, and is almost always a slight !> overestimate of the true error. !>
BERR
!> BERR is REAL array, dimension (NRHS) !> The componentwise relative backward error of each solution !> vector X(j) (i.e., the smallest relative change in !> any element of A or B that makes X(j) an exact solution). !>
WORK
!> WORK is COMPLEX array, dimension (2*N) !>
RWORK
!> RWORK is REAL array, dimension (N) !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !>
Internal Parameters:
!> ITMAX is the maximum number of steps of iterative refinement. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 184 of file cgerfs.f.
Author¶
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Version 3.12.0 | LAPACK |