asa007


asa007, a MATLAB code which computes the inverse of a symmetric positive definite (SPD) matrix, by Michael Healy.

This is Applied Statistics Algorithm 7.

The algorithm implemented here uses a compressed storage for both the matrix A and the factor U. This saves some storage, but can make computations a little awkward.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

asa007 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version

Related Data and Programs:

asa006, a MATLAB code which computes the Cholesky factorization of a symmetric positive definite (SPD) matrix. A version of this routine is used by ASA007.

asa007_test

asa047, a MATLAB code which implements the Nelder-Mead minimization algorithm, and uses a version of ASA007 for the computation.

Author:

Michael Healy

Reference:

  1. Michael Healy,
    Algorithm AS 7: Inversion of a Positive Semi-Definite Symmetric Matrix,
    Applied Statistics,
    Volume 17, Number 2, 1968, pages 198-199.

Source Code:


Last revised on 20 June 2021.