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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dgbtrs.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dgbtrs.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dgbtrs.f

SYNOPSIS

Functions/Subroutines


subroutine DGBTRS (trans, n, kl, ku, nrhs, ab, ldab, ipiv, b, ldb, info)
DGBTRS

Function/Subroutine Documentation

subroutine DGBTRS (character trans, integer n, integer kl, integer ku, integer nrhs, double precision, dimension( ldab, * ) ab, integer ldab, integer, dimension( * ) ipiv, double precision, dimension( ldb, * ) b, integer ldb, integer info)

DGBTRS

Purpose:

!>
!> DGBTRS solves a system of linear equations
!>    A * X = B  or  A**T * X = B
!> with a general band matrix A using the LU factorization computed
!> by DGBTRF.
!>

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**T* X = B  (Conjugate transpose = Transpose)
!>

N

!>          N is INTEGER
!>          The order of the matrix A.  N >= 0.
!>

KL

!>          KL is INTEGER
!>          The number of subdiagonals within the band of A.  KL >= 0.
!>

KU

!>          KU is INTEGER
!>          The number of superdiagonals within the band of A.  KU >= 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 DOUBLE PRECISION array, dimension (LDAB,N)
!>          Details of the LU factorization of the band matrix A, as
!>          computed by DGBTRF.  U is stored as an upper triangular band
!>          matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and
!>          the multipliers used during the factorization are stored in
!>          rows KL+KU+2 to 2*KL+KU+1.
!>

LDAB

!>          LDAB is INTEGER
!>          The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.
!>

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          The pivot indices; for 1 <= i <= N, row i of the matrix was
!>          interchanged with row IPIV(i).
!>

B

!>          B is DOUBLE PRECISION 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 136 of file dgbtrs.f.

Author

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Version 3.12.0 LAPACK