An explicit formula for singular values of the Sylvester-Kac matrix

DOI10.1016/j.laa.2006.10.008zbMath1121.15012OpenAlexW1977936983MaRDI QIDQ869910

Tibor Boros, Pál Rózsa

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.008

zbMATH Keywords

eigenvaluedifferential equationpolynomial solutionsstochastic matricessingular valuessingular vectorscentrosymmetric matricesFrobenius seriesPerron-Frobenius canonical form

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Stochastic matrices (15B51)

Related Items (11)

Schrödinger's tridiagonal matrix ⋮ Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix ⋮ Unnamed Item ⋮ LEFT AND RIGHT EIGENVECTORS OF A VARIANT OF THE SYLVESTER–KAC MATRIX ⋮ Doubling (dual) Hahn polynomials: classification and applications ⋮ A short note on the determinant of a Sylvester-Kac type matrix ⋮ The Sylvester-Kac matrix space ⋮ Unnamed Item ⋮ Spectrum and eigenvectors for a class of tridiagonal matrices ⋮ The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation ⋮ A new type of Sylvester–Kac matrix and its spectrum

Cites Work

• Another look at a matrix of Mark Kac
• Über das Ehrenfestsche Modell der Wärmeübertragung
• Matrix Analysis
• Random Walk and the Theory of Brownian Motion
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