SRC/zpbtrs.f(3) | Library Functions Manual | SRC/zpbtrs.f(3) |
NAME
SRC/zpbtrs.f
SYNOPSIS
Functions/Subroutines
subroutine zpbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb,
info)
ZPBTRS
Function/Subroutine Documentation
subroutine zpbtrs (character uplo, integer n, integer kd, integer nrhs, complex*16, dimension( ldab, * ) ab, integer ldab, complex*16, dimension( ldb, * ) b, integer ldb, integer info)
ZPBTRS
Purpose:
!> !> ZPBTRS solves a system of linear equations A*X = B with a Hermitian !> positive definite band matrix A using the Cholesky factorization !> A = U**H *U or A = L*L**H computed by ZPBTRF. !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> = 'U': Upper triangular factor stored in AB; !> = 'L': Lower triangular factor stored in AB. !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
KD
!> KD is INTEGER !> The number of superdiagonals of the matrix A if UPLO = 'U', !> or the number of subdiagonals if UPLO = 'L'. KD >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of right hand sides, i.e., the number of columns !> of the matrix B. NRHS >= 0. !>
AB
!> AB is COMPLEX*16 array, dimension (LDAB,N) !> The triangular factor U or L from the Cholesky factorization !> A = U**H *U or A = L*L**H of the band matrix A, stored in the !> first KD+1 rows of the array. The j-th column of U or L is !> stored in the j-th column of the array AB as follows: !> if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j; !> if UPLO ='L', AB(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd). !>
LDAB
!> LDAB is INTEGER !> The leading dimension of the array AB. LDAB >= KD+1. !>
B
!> B is COMPLEX*16 array, dimension (LDB,NRHS) !> On entry, the right hand side matrix B. !> On exit, the 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 !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 120 of file zpbtrs.f.
Author
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