# Spectral Galerkin Factorization codes

### Paul G. Constantine, David F. Gleich, and Gianluca Iaccarino.

A factorization of the spectral Galerkin system for parameterized matrix equations: derivation and applications. arXiv:, 2010.

These codes are research prototypes and may not work for you.
No promises. See pmpack for codes with more official support.

## Overview

The package is organized by directory

pmpack
The version of the pmpack codes used in the experiments. It differs cosmetically from the released version.
experiments
The script files that perform our experimental studies.
randomfield
A copy of the randomfield distribution used to compute our sample problem.

## Usage

With a recent version of Matlab (2009b/2010a used for development), the best way to use the package is to open Matlab, navigate to the pmpack directory, and then execute the following commands to solve a problem from our earlier study on parameterized matrices.

% insert an example here

If you want to get more information about how to use the tools, see the pmpack/demo.m script.

ExperimentDescriptionFigure
preconditioning/preconditioning.mCompute data for preconditioning experiment
preconditioning/plot_preconditioning.mPrepare a figure of preconditioning resultsFigure 4.2
preconditioning/setuptimes.mPrepare a table of preconditioning timingTable 4.1