sgtsv.f3
Usage
Functions/Subroutines
subroutine sgtsv (n, nrhs, dl, d, du, b, ldb, info)
SGTSV computes the solution to system of linear equations A * X = B for GT matrices
Function/Subroutine Documentation
subroutine sgtsv (integer n, integer nrhs, real, dimension( * ) dl, real, dimension( * ) d, real, dimension( * ) du, real, dimension( ldb, * ) b, integer ldb, integer info)
SGTSV computes the solution to system of linear equations A * X = B for GT matrices
Purpose:
!> !> SGTSV solves the equation !> !> A*X = B, !> !> where A is an n by n tridiagonal matrix, by Gaussian elimination with !> partial pivoting. !> !> Note that the equation A**T*X = B may be solved by interchanging the !> order of the arguments DU and DL. !>
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. !>
DL
!> DL is REAL array, dimension (N-1)
!> On entry, DL must contain the (n-1) sub-diagonal elements of
!> A.
!>
!> On exit, DL is overwritten by the (n-2) elements of the
!> second super-diagonal of the upper triangular matrix U from
!> the LU factorization of A, in DL(1), ..., DL(n-2).
!>
D
!> D is REAL array, dimension (N) !> On entry, D must contain the diagonal elements of A. !> !> On exit, D is overwritten by the n diagonal elements of U. !>
DU
!> DU is REAL array, dimension (N-1) !> On entry, DU must contain the (n-1) super-diagonal elements !> of A. !> !> On exit, DU is overwritten by the (n-1) elements of the first !> super-diagonal of U. !>
B
!> B is REAL array, dimension (LDB,NRHS) !> On entry, the N by NRHS matrix of right hand side matrix B. !> On exit, if INFO = 0, the N by NRHS solution matrix X. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. LDB >= max(1,N). !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !> > 0: if INFO = i, U(i,i) is exactly zero, and the solution !> has not been computed. The factorization has not been !> completed unless i = N. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 126 of file sgtsv.f.
Releases
4 releases since Debian 7 (Wheezy); the text changed 3 times.