Linearly recursive sequences and operator polynomials

DOI10.1016/0024-3795(93)90496-BzbMath0781.16025MaRDI QIDQ2365663

Luzius Grunenfelder, Matjaž Omladič

Publication date: 29 June 1993

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

zbMATH Keywords

Hopf algebralinearly recursive sequencesactionJordan matrixoperator polynomialcofinite idealcoalgebra dualcofinite-dimensional submodulesfinite dimensional subcomodulesfinite- dimensional subcoalgebramonic operator polynomialsrecursive polynomialregular polynomial operators

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Smash products of general Hopf actions (16S40)

Related Items (4)

Unnamed Item ⋮ An algebraic approach to multiparameter spectral theory ⋮ On a representation of commuting maps by tensor products ⋮ Koszul cohomology for finite families of comodule maps and applications

Cites Work

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• Common eigenvalues, divisors, and multiples of matrix polynomials: A review
• The Hopf algebra of linearly recursive sequences
• Algebraic aspects of control systems and realizations
• Families parametrized by coalgebras
• Simulation of linear systems and factorization of matrix polynomials†

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