cpbtrs(l) [redhat man page]

CPBTRS(l)								 )								 CPBTRS(l)

NAME

       CPBTRS  -  solve 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 CPBTRF

SYNOPSIS

       SUBROUTINE CPBTRS( UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, KD, LDAB, LDB, N, NRHS

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

PURPOSE

       CPBTRS 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 CPBTRF.

ARGUMENTS

       UPLO    (input) CHARACTER*1
	       = 'U':  Upper triangular factor stored in AB;
	       = 'L':  Lower triangular factor stored in AB.

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

       KD      (input) INTEGER
	       The number of superdiagonals of the matrix A if UPLO = 'U', or the number of subdiagonals if UPLO = 'L'.  KD >= 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 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    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= KD+1.

       B       (input/output) COMPLEX 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 							 CPBTRS(l)

cpbtrs.f(3)							      LAPACK							       cpbtrs.f(3)

NAME

       cpbtrs.f -

SYNOPSIS

   Functions/Subroutines
       subroutine cpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
	   CPBTRS

Function/Subroutine Documentation
   subroutine cpbtrs (characterUPLO, integerN, integerKD, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldb, *
       )B, integerLDB, integerINFO)
       CPBTRS

       Purpose:

	    CPBTRS 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 CPBTRF.

       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 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 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 122 of file cpbtrs.f.

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

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