A fundamental theorem on lambda-matrices with applications. II: Difference equations with constant coefficients

DOI10.1016/0024-3795(77)90052-0zbMath0388.15004OpenAlexW1983218859MaRDI QIDQ1250145

Peter Lancaster

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90052-0

Mathematics Subject Classification ID

Related Items (11)

Determinant of block-Toeplitz band matrices ⋮ Explicit solutions of implicit second-order difference systems in unbounded bilateral domains ⋮ Explicit closed form solutions of boundary value problems for systems of difference equations ⋮ Well-conditioning for variable coefficient second order boundary value difference systems ⋮ The algebraic theory of latent projectors in lambda matrices ⋮ Closed-form solutions for boundary value coupled differential and difference systems ⋮ Rational Generating Functions and Matrix-Geometric Invariant Measures ⋮ A closed-form solution of singular regular higher-order difference initial and boundary value problems ⋮ Eigenspaces of families of Toeplitz operators with rational matrix symbols ⋮ Spectral analysis of matrix polynomials. II. The resolvent form and spectral divisors ⋮ On spectral analysis of non-monic matrix and operator polynomials. I: reduction to monic polynomials

Cites Work

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• Iterative solution of spectral operator polynomial equations and a related continued fraction
• A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients
• Chrystal's theorem on differential equation systems
• On the Numerical Solution of Characteristic Equations in Flutter Analysis
• Algorithms for Solvents of Matrix Polynomials

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