dpbtrs man page on Scientific

```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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