The combinatorial power of the companion matrix
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Publication:1906799
DOI10.1016/0024-3795(95)90163-9zbMath0838.15015OpenAlexW1985900997MaRDI QIDQ1906799
James D. Louck, William Y. C. Chen
Publication date: 6 February 1996
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(95)90163-9
Chebyshev polynomialsfinite fieldscompanion matrixrecurrence relationsToeplitz matricesformal power seriesDickson polynomialsWaring's formulacombinatorial power
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Context-free grammars, differential operators and formal power series
- Search of primitive polynomials over finite fields
- Antipodes and incidence coalgebras
- Optimal normal bases in \(GF(p^ n)\)
- On mean convergence of extended Lagrange interpolation
- Optimal normal bases
- A representation of the solution of the \(n\)th order linear difference equation with variable coefficients
- Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms
- Dickson polynomials and irreducible polynomials over finite fields
- Near-minimax complex approximation by four kinds of Chebyshev polynomial expansion
- Constrained near-minimax approximation by weighted expansion and interpolation using Chebyshev polynomials of the second, third, and fourth kinds
- Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
- On the Foundation of Combinatorial Theory. X. A Categorical Setting for Symmetric Functions
- Baxter algebras and combinatorial identities. II
- Cyclic Tableaux and Symmetric Functions
- On the Foundations of Combinatorial Theory. VII: Symmetric Functions through the Theory of Distribution and Occupancy
- Exact Normal Modes of Oscillation of a Linear Chain of Identical Particles
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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