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zpbtrs(3P)		    Sun Performance Library		    zpbtrs(3P)

NAME
       zpbtrs  -  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 ZPBTRF

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

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

       SUBROUTINE ZPBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

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

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

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

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

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

   C INTERFACE
       #include <sunperf.h>

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

       void zpbtrs_64(char uplo, long n, long kd, long nrhs, doublecomplex *a,
		 long lda, doublecomplex *b, long ldb, long *info);

PURPOSE
       zpbtrs  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 ZPBTRF.

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**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 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			    zpbtrs(3P)

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