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dpbtrs(3P)		    Sun Performance Library		    dpbtrs(3P)

NAME
       dpbtrs  -  solve	 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, A, LDA, B, LDB, INFO)

       CHARACTER * 1 UPLO
       INTEGER N, KD, NRHS, LDA, LDB, INFO
       DOUBLE PRECISION A(LDA,*), B(LDB,*)

       SUBROUTINE DPBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

       CHARACTER * 1 UPLO
       INTEGER*8 N, KD, NRHS, LDA, LDB, INFO
       DOUBLE PRECISION A(LDA,*), B(LDB,*)

   F95 INTERFACE
       SUBROUTINE PBTRS(UPLO, [N], KD, [NRHS], A, [LDA], B, [LDB], [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER :: N, KD, NRHS, LDA, LDB, INFO
       REAL(8), DIMENSION(:,:) :: A, B

       SUBROUTINE PBTRS_64(UPLO, [N], KD, [NRHS], A, [LDA], B, [LDB],
	      [INFO])

       CHARACTER(LEN=1) :: UPLO
       INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO
       REAL(8), DIMENSION(:,:) :: A, B

   C INTERFACE
       #include <sunperf.h>

       void  dpbtrs(char  uplo,	 int  n, int kd, int nrhs, double *a, int lda,
		 double *b, int ldb, int *info);

       void dpbtrs_64(char uplo, long n, long kd, long nrhs, double  *a,  long
		 lda, double *b, long ldb, long *info);

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)
		 = 'U':	 Upper triangular factor stored in A;
		 = 'L':	 Lower triangular factor stored in A.

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

       KD (input)
		 The  number  of superdiagonals of the matrix A if UPLO = 'U',
		 or the number of subdiagonals if UPLO = 'L'.  KD >= 0.

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

       A (input) 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 A as follows: if  UPLO
		 ='U',	A(kd+1+i-j,j)  = U(i,j) for max(1,j-kd)<=i<=j; if UPLO
		 ='L', A(1+i-j,j)    = L(i,j) for j<=i<=min(n,j+kd).

       LDA (input)
		 The leading dimension of the array A.	LDA >= KD+1.

       B (input/output)
		 On entry, the right hand side matrix B.  On exit,  the	 solu‐
		 tion matrix X.

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

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

				  6 Mar 2009			    dpbtrs(3P)
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