cpptri(3P) Sun Performance Library cpptri(3P)NAMEcpptri - compute the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H com‐
puted by CPPTRF
SYNOPSIS
SUBROUTINE CPPTRI(UPLO, N, A, INFO)
CHARACTER * 1 UPLO
COMPLEX A(*)
INTEGER N, INFO
SUBROUTINE CPPTRI_64(UPLO, N, A, INFO)
CHARACTER * 1 UPLO
COMPLEX A(*)
INTEGER*8 N, INFO
F95 INTERFACE
SUBROUTINE PPTRI(UPLO, [N], A, [INFO])
CHARACTER(LEN=1) :: UPLO
COMPLEX, DIMENSION(:) :: A
INTEGER :: N, INFO
SUBROUTINE PPTRI_64(UPLO, [N], A, [INFO])
CHARACTER(LEN=1) :: UPLO
COMPLEX, DIMENSION(:) :: A
INTEGER(8) :: N, INFO
C INTERFACE
#include <sunperf.h>
void cpptri(char uplo, int n, complex *a, int *info);
void cpptri_64(char uplo, long n, complex *a, long *info);
PURPOSEcpptri computes the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H com‐
puted by CPPTRF.
ARGUMENTS
UPLO (input)
= 'U': Upper triangular factor is stored in A;
= 'L': Lower triangular factor is stored in A.
N (input) The order of the matrix A. N >= 0.
A (input/output) COMPLEX array, dimension (N*(N+1)/2)
On entry, the triangular factor U or L from the Cholesky fac‐
torization A = U**H*U or A = L*L**H, packed columnwise as a
linear array. The j-th column of U or L is stored in the
array A as follows: if UPLO = 'U', A(i + (j-1)*j/2) = U(i,j)
for 1<=i<=j; if UPLO = 'L', A(i + (j-1)*(2n-j)/2) = L(i,j)
for j<=i<=n.
On exit, the upper or lower triangle of the (Hermitian)
inverse of A, overwriting the input factor U or L.
INFO (output)
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the (i,i) element of the factor U or L is
zero, and the inverse could not be computed.
6 Mar 2009 cpptri(3P)
