Application of the companion factorization to linear non-autonomous area-preserving maps

DOI10.1080/03081087.2011.582583zbMath1248.15013OpenAlexW2080026600MaRDI QIDQ2879648

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Publication date: 29 March 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.582583

zbMATH Keywords

stabilitynumerical examplesdifference equationstransition matrixnumerical algorithmarea-preserving mapsshift matricesHarper equationcompanion matrix factorizationFibonacci trace maplinear Schrödinger difference operators

Mathematics Subject Classification ID

Related Items (3)

Companion factorization in the general linear group \(\mathrm{GL}(n,\mathbb C)\) and applications ⋮ On some class of periodic-discrete homogeneous difference equations via Fibonacci sequences ⋮ A note on representations for the inverses of tridiagonal matrices

Cites Work

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• Companion factorization in the general linear group \(\mathrm{GL}(n,\mathbb C)\) and applications
• Matrix multiplication via arithmetic progressions
• Universal behaviour in families of area-preserving maps
• A representation of the solution of the \(n\)th order linear difference equation with variable coefficients
• On the matrix powers and exponential by the \(r\)-generalized Fibonacci sequences methods: The companion matrix case
• The combinatorial power of the companion matrix
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
• Solving parameterized linear difference equations in terms of indefinite nested sums and products
• The inverse of a tridiagonal matrix

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