zgbtrs(l) [redhat man page]

ZGBTRS(l)								 )								 ZGBTRS(l)

NAME

       ZGBTRS  -  solve 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 factoriza-
       tion computed by ZGBTRF

SYNOPSIS

       SUBROUTINE ZGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )

	   CHARACTER	  TRANS

	   INTEGER	  INFO, KL, KU, LDAB, LDB, N, NRHS

	   INTEGER	  IPIV( * )

	   COMPLEX*16	  AB( LDAB, * ), B( LDB, * )

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.

ARGUMENTS

       TRANS   (input) 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       (input) INTEGER
	       The order of the matrix A.  N >= 0.

       KL      (input) INTEGER
	       The number of subdiagonals within the band of A.  KL >= 0.

       KU      (input) INTEGER
	       The number of superdiagonals within the band of A.  KU >= 0.

       NRHS    (input) INTEGER
	       The number of right hand sides, i.e., the number of columns of the matrix B.  NRHS >= 0.

       AB      (input) 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    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.

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

       B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
	       On entry, the right hand side matrix B.	On exit, the solution matrix X.

       LDB     (input) INTEGER
	       The leading dimension of the array B.  LDB >= max(1,N).

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -i, the i-th argument had an illegal value

LAPACK version 3.0						   15 June 2000 							 ZGBTRS(l)

zgbtrs.f(3)							      LAPACK							       zgbtrs.f(3)

NAME

       zgbtrs.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO)
	   ZGBTRS

Function/Subroutine Documentation
   subroutine zgbtrs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, complex*16, dimension( ldab, * )AB, integerLDAB, integer,
       dimension( * )IPIV, complex*16, dimension( ldb, * )B, integerLDB, integerINFO)
       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.

       Date:
	   November 2011

       Definition at line 138 of file zgbtrs.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       zgbtrs.f(3)