dptrfs.f3
Usage
Functions/Subroutines
subroutine dptrfs (n, nrhs, d, e, df, ef, b, ldb, x, ldx, ferr, berr, work, info)
DPTRFS
Function/Subroutine Documentation
subroutine dptrfs (integer n, integer nrhs, double precision, dimension( * ) d, double precision, dimension( * ) e, double precision, dimension( * ) df, double precision, dimension( * ) ef, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( ldx, * ) x, integer ldx, double precision, dimension( * ) ferr, double precision, dimension( * ) berr, double precision, dimension( * ) work, integer info)
DPTRFS
Purpose:
!> !> DPTRFS improves the computed solution to a system of linear !> equations when the coefficient matrix is symmetric positive definite !> and tridiagonal, and provides error bounds and backward error !> estimates for the solution. !>
Parameters
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 matrix B. NRHS >= 0. !>
D
!> D is DOUBLE PRECISION array, dimension (N) !> The n diagonal elements of the tridiagonal matrix A. !>
E
!> E is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) subdiagonal elements of the tridiagonal matrix A. !>
DF
!> DF is DOUBLE PRECISION array, dimension (N) !> The n diagonal elements of the diagonal matrix D from the !> factorization computed by DPTTRF. !>
EF
!> EF is DOUBLE PRECISION array, dimension (N-1) !> The (n-1) subdiagonal elements of the unit bidiagonal factor !> L from the factorization computed by DPTTRF. !>
B
!> B is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (LDX,NRHS) !> On entry, the solution matrix X, as computed by DPTTRS. !> 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 DOUBLE PRECISION array, dimension (NRHS) !> The 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). !>
BERR
!> BERR is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (2*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 161 of file dptrfs.f.
Releases
4 releases since Debian 7 (Wheezy); the text changed 3 times.