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Autocovariance Least-Squares (ALS) Package

Version 5.0, Copyright (C) 2010

Fernando V. Lima, Murali R. Rajamani, James B. Rawlings and John W. Eaton. Modified for modern distributions by Aaron Webster.

ALS is a free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

ALS is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the text file LICENSE for more details.

Availability

The latest released version of ALS is available via the Rawlings Group website.

Installation

To compile ALS, you will need a recent version of GNU Octave. You will also need the Sundials toolbox (version 2.4) to compile the linear time-varying ALS (LTV-ALS) module. The linear ALS module is also compatible with recent versions of MATLAB (tested under version 7.6, R2008a).

Bugs

Questions, comments, bug reports, and contributions should be sent to the [email protected] mailing list.

Documentation

The linear ALS technique is implemented using the "als_sdp_mrQ.m" function. Files "simulate_data8.m" and "motivating example.m" are examples of ALS implementation for simple systems. Specifically, please see the last few lines of "simulate_data8.m" for a sample implementation of the ALS method. The diagonal ALS technique, to estimate only the diagonal elements of the covariance matrices, is implemented using "als_diag.m", and "simulate_data8_diag.m" is an example of its implementation. The linear time-varying ALS technique for nonlinear and time-varying models is implemented using the "ltv_als.m" function and file "case1_als.m" provides an example of its implementation. The rest of the functions are supporting functions that are not directly called. Documentation for each function is also available by typing "help function_name" in the octave command window.

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