zgbtrs.f(3) [debian man page]

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)

Check Out this Related 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)

Linux and UNIX Man Pages

zgbtrs.f(3) [debian man page]

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