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RedHat 9 (Linux i386) - man page for zpbtrs (redhat section l)

ZPBTRS(l)					)					ZPBTRS(l)

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, AB, LDAB, B, LDB, INFO )

	   CHARACTER	  UPLO

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

	   COMPLEX*16	  AB( LDAB, * ), B( LDB, * )

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) 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 sub-
	       diagonals 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*16 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*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 				ZPBTRS(l)


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