F07FWF (ZPOTRI) computes the inverse of a complex Hermitian positive definite matrix
, where
has been factorized by
F07FRF (ZPOTRF).
F07FWF (ZPOTRI) is used to compute the inverse of a complex Hermitian positive definite matrix
, the routine must be preceded by a call to
F07FRF (ZPOTRF), which computes the Cholesky factorization of
.
The computed inverse
satisfies
where
is a modest function of
,
is the
machine precision and
is the condition number of
defined by
The real analogue of this routine is
F07FJF (DPOTRI).
This example computes the inverse of the matrix
, where
Here
is Hermitian positive definite and must first be factorized by
F07FRF (ZPOTRF).