On functions of companion matrices

DOI10.1016/0024-3795(87)90344-2zbMath0631.15004OpenAlexW2025543899MaRDI QIDQ1094500

József Eller

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90344-2

zbMATH Keywords

divided differencesJordan representationmatrix functioncomplex companion matrixsimilarity-transformation matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21)

Related Items (5)

A note on integer powers of a companion matrix and applications ⋮ On the matrix powers and exponential by the \(r\)-generalized Fibonacci sequences methods: The companion matrix case ⋮ Lévy-driven causal CARMA random fields ⋮ Existence and uniqueness of stationary Lévy-driven CARMA processes ⋮ Matrix computations with the Omega calculus

Cites Work

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• On the bilinear transformation of companion matrices
• On exp(tA) with A satisfying a polynomial
• Functions of a matrix and their norms
• On Least Squares Exponential Sum Approximation With Positive Coefficients
• Some notes on the inversion of confluent Vandermonde matrices
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Numerical Evaluation of $\exp (tA)$ when A is a Companion Matrix
• Linear fractional transforms of companion matrices
• Resultants and the Solution of $AX - XB = - C$
• The Equivalence of Definitions of a Matric Function

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