On matrix polynomials with the same finite and infinite elementary divisors

DOI10.1016/j.laa.2016.10.002zbMath1388.15018OpenAlexW2529527814MaRDI QIDQ344877

S. Marcaida, A. Amparan, Zaballa, I.

Publication date: 25 November 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.10.002

zbMATH Keywords

principal ideal domaincoprimenessinfinite elementary divisorsfinite elementary divisorsSmith-McMillan form

Mathematics Subject Classification ID

Algebraic methods (93B25) Matrices over function rings in one or more variables (15A54)

Related Items

Spectral filters connecting high order systems, Unnamed Item, Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data, On conditions guaranteeing two rational matrices possess identical pole/zero structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On coprime rational function matrices
• Spectral equivalence of matrix polynomials and the index sum theorem
• Local realizations and local polynomial matrix representations of systems
• Local Wiener--Hopf factorization and indices over arbitrary fields
• Fast projection methods for minimal design problems in linear system theory
• Smith-McMillan factorizations at infinity of rational matrix functions and their control interpretation
• Poles and zeros of matrices of rational functions
• Filters connecting isospectral quadratic systems
• On the structure invariants of proper rational matrices with prescribed finite poles
• Finite and infinite structures of rational matrices: a local approach
• Infinite elementary divisors of a matrix polynomial and implications
• On strict system equivalence and similarity†
• On a new definition of strict system equivalence
• Equivalence transformations of rational matrices and applications
• A new notion of equivalence for discrete time AR representations