Linearization of bivariate polynomial matrices expressed in non monomial basis

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• 作者：Aikaterini S. Karetsou (1)
  Nicholas P. Karampetakis (1)
  
  1. Department of Mathematics ; Aristotle University of Thessaloniki ; 54124聽 ; Thessaloniki ; Greece
  
• 关键词：Bivariate polynomial matrix ; Matrix pencil ; Companion form ; Unimodular equivalence ; Zero coprime equivalence ; Newton basis ; Lagrange basis ; Primary ; 93B18 ; Secondary ; 93B17 ; 93B25 ; 93B11 ; 93B40 ; 93C05 ; 93C35
• 刊名：Multidimensional Systems and Signal Processing
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：26
• 期：2
• 页码：503-517
• 全文大小：351 KB
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• 刊物类别：Engineering
• 刊物主题：Circuits and Systems
  Electronic and Computer Engineering
  Signal,Image and Speech Processing
  Artificial Intelligence and Robotics
  
• 出版者：Springer Netherlands
• ISSN：1573-0824

文摘

The paper proposes a two step algorithm that reduces a bivariate polynomial matrix \(T\left( s,z\right) \) expressed in Newton or Lagrange base to a bivariate matrix pencil \(A+E_{1}s+E_{2}z\) with the same invariant polynomials and zero structure.