1. Manuals
  2. Tumbleweed
  3. lapack-man
  4. ZGBTRS(3)

Scroll to navigation

SRC/lapack_64_obj/zgbtrs.f(3) Library Functions Manual SRC/lapack_64_obj/zgbtrs.f(3)

NAME

SRC/lapack_64_obj/zgbtrs.f

SYNOPSIS

Functions/Subroutines


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

Function/Subroutine Documentation

subroutine ZGBTRS (character trans, integer n, integer kl, integer ku, integer nrhs, complex*16, dimension( ldab, * ) ab, integer ldab, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZGBTRS

Purpose:

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

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.
!>

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 COMPLEX*16 array, dimension (LDAB,N)
!>          Details of the LU factorization of the band matrix A, as
!>          computed by ZGBTRF.  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 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 137 of file zgbtrs.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Version 3.12.1 LAPACK