Numerical Linear Algebra Techniques for Large Scale Matrix Problems in Systems and Control (1992)
| Venue: | Proc. 31st IEEE Conf. on Decision and Control |
| Citations: | 13 - 10 self |
BibTeX
@INPROCEEDINGS{Dooren92numericallinear,
author = {Paul Van Dooren},
title = {Numerical Linear Algebra Techniques for Large Scale Matrix Problems in Systems and Control},
booktitle = {Proc. 31st IEEE Conf. on Decision and Control},
year = {1992}
}
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Abstract
During the last few decades linear algebra has played an important role in advances being made in the area of systems and control. The most profound impact has been in the computational and implementational aspects, where numerical linear algebraic algorithms have strongly influenced the ways in which problems are being solved. The advent of special computing architectures such as vector processors and distributed processor arrays has also emphasized parallel and realtime processing of basic linear algebra modules for this application area. This paper discusses a number of numerical linear algebra techniques for large scale problems in systems and control. We focus on "special matrix"-problems, i.e. matrices which are either sparse, patterned or structured. 1. Introduction Large plants in control typically arise from discretizations of continuum problems (such as those that appear in mechanics or chemistry). The models obtained from that are then automatically sparse, such as finite...
