
MITACS Seminar Series on Mathematics of Computer Algebra and AnalysisNormal Forms of Polynomial MatricesHoward Cheng, Department of Mathematics and Computer Science, University of Lethbridge
Abstract: Normal forms for polynomial matrices are used in applications such as control theory. The Hermite form, rowreduced form, weak Popov form and Popov form are introduced. It is shown how these normal forms can be computed by straightforward eliminationbased algorithms. In many cases, eliminationbased approaches are insufficient because of intermediate expression swell on the coefficients. Fractionfree and modular algorithms for these problems are briefly outlined. 