On functions of companion matrices
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Publication:1094500
DOI10.1016/0024-3795(87)90344-2zbMath0631.15004OpenAlexW2025543899MaRDI QIDQ1094500
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
divided differencesJordan representationmatrix functioncomplex companion matrixsimilarity-transformation matrix
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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