ZPPTRI(3F) ZPPTRI(3F)
ZPPTRI - compute the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
computed by ZPPTRF
SUBROUTINE ZPPTRI( UPLO, N, AP, INFO )
CHARACTER UPLO
INTEGER INFO, N
COMPLEX*16 AP( * )
ZPPTRI computes the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
computed by ZPPTRF.
UPLO (input) CHARACTER*1
= 'U': Upper triangular factor is stored in AP;
= 'L': Lower triangular factor is stored in AP.
N (input) INTEGER
The order of the matrix A. N >= 0.
AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)
On entry, the triangular factor U or L from the Cholesky
factorization 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
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.
On exit, the upper or lower triangle of the (Hermitian) inverse
of A, overwriting the input factor U or L.
INFO (output) INTEGER
= 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.
ZPPTRI(3F) ZPPTRI(3F)
ZPPTRI - compute the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
computed by ZPPTRF
SUBROUTINE ZPPTRI( UPLO, N, AP, INFO )
CHARACTER UPLO
INTEGER INFO, N
COMPLEX*16 AP( * )
ZPPTRI computes the inverse of a complex Hermitian positive definite
matrix A using the Cholesky factorization A = U**H*U or A = L*L**H
computed by ZPPTRF.
UPLO (input) CHARACTER*1
= 'U': Upper triangular factor is stored in AP;
= 'L': Lower triangular factor is stored in AP.
N (input) INTEGER
The order of the matrix A. N >= 0.
AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)
On entry, the triangular factor U or L from the Cholesky
factorization 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
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.
On exit, the upper or lower triangle of the (Hermitian) inverse
of A, overwriting the input factor U or L.
INFO (output) INTEGER
= 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.
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