DPBTRS man page on Scientific

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DPBTRS(1)		 LAPACK routine (version 3.2)		     DPBTRS(1)

NAME
       DPBTRS  -  solves a system of linear equations A*X = B with a symmetric
       positive definite band matrix A using the Cholesky  factorization  A  =
       U**T*U or A = L*L**T computed by DPBTRF

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

	   CHARACTER	  UPLO

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

	   DOUBLE	  PRECISION AB( LDAB, * ), B( LDB, * )

PURPOSE
       DPBTRS  solves  a  system  of linear equations A*X = B with a symmetric
       positive definite band matrix A using the Cholesky  factorization  A  =
       U**T*U or A = L*L**T computed by DPBTRF.

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) DOUBLE PRECISION array, dimension (LDAB,N)
	       The  triangular factor U or L from the Cholesky factorization A
	       = U**T*U or A = L*L**T 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) DOUBLE PRECISION 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 routine (version 3.2)	 November 2008			     DPBTRS(1)
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