f07ajc computes the inverse of a real matrix
, where
has been factorized by
f07adc.
f07ajc is used to compute the inverse of a real matrix
, the function must be preceded by a call to
f07adc, which computes the
factorization of
as
. The inverse of
is computed by forming
and then solving the equation
for
.
The computed inverse
satisfies a bound of the form:
where
is a modest linear function of
, and
is the
machine precision.
Note that a similar bound for
cannot be guaranteed, although it is almost always satisfied. See
Du Croz and Higham (1992).
Background information to multithreading can be found in the
Multithreading documentation.
Please consult the
X06 Chapter Introduction for information on how to control and interrogate the OpenMP environment used within this function. Please also consult the
Users' Note for your implementation for any additional implementation-specific information.
The complex analogue of this function is
f07awc.
This example computes the inverse of the matrix
, where
Here
is nonsymmetric and must first be factorized by
f07adc.