
DPBTRS(l) ) DPBTRS(l)
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, 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 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) 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 jth
column of U or L is stored in the jth column of the array AB as follows: if UPLO
='U', AB(kd+1+ij,j) = U(i,j) for max(1,jkd)<=i<=j; if UPLO ='L', AB(1+ij,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 ith argument had an illegal value
LAPACK version 3.0 15 June 2000 DPBTRS(l) 
