Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

Abstract Matrices in Symbolic Computation
Volker Sorge, University of Birmingham, UK
Friday, March 9, 2007, at U. of Waterloo.

Abstract:

Computer Algebra systems commonly deal well with matrix structures and calculations. However, their handling of matrices is still far from every day mathematical practice, where matrices are often not given as fully specified objects, but rather are of indefinite dimension and

In my talk I shall describe work on developing procedures to handle general matrix expressions involving precisely these features. For such a useful representation of a common mathematical structure, two dimensional matrix expressions possess some surprisingly subtle complexities that require careful analysis and correspondingly involved algorithms to tease out their true meaning. I shall present our approach, which involves graph analysis, constraint maintenance, 2-d region finding, anti-unification and surface interpolation.

Our procedures can be used as an input mechanism for diverse mathematical software. In particular, they provide a framework for a constraint based exploration of matrix problems in a computer algebra system. In addition they have applications as search and storage structure, or as a semantic validator for improving document recognition accuracy.

This is joint work with Alan Sexton.

 

Last modified on Sunday, 04 November 2012, at 20:42 hours.