ZPPTRS(3)
solves a system of linear equations A*X = B with a Hermitian positive definite matrix A in packed storage using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPPTRF
SYNOPSIS
- SUBROUTINE ZPPTRS(
-
UPLO, N, NRHS, AP, B, LDB, INFO )
-
CHARACTER
UPLO
-
INTEGER
INFO, LDB, N, NRHS
-
COMPLEX*16
AP( * ), B( LDB, * )
PURPOSE
ZPPTRS solves a system of linear equations A*X = B with a Hermitian
positive definite matrix A in packed storage using the Cholesky
factorization A = U**H*U or A = L*L**H computed by ZPPTRF.
ARGUMENTS
- UPLO (input) CHARACTER*1
-
= 'U': Upper triangle of A is stored;
= 'L': Lower triangle of A is stored.
- N (input) INTEGER
-
The order of the matrix A. N >= 0.
- NRHS (input) INTEGER
-
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
- AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)
-
The triangular factor U or L from the Cholesky factorization
A = U**H*U or A = L*L**H, packed columnwise in a linear
array. The j-th column of U or L is stored in the array AP
as follows:
if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.
- 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