LEFT AND RIGHT EIGENVECTORS OF A VARIANT OF THE SYLVESTER–KAC MATRIX

DOI10.1017/s0004972723000461OpenAlexW4381165354MaRDI QIDQ6124030

Emrah Kılıç, Chu, Wenchang

Publication date: 9 April 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972723000461

zbMATH Keywords

eigenvalueeigenvectordeterminanttridiagonal matrixorthogonality relationscalar productSylvester-Kac matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs
• Eigenvectors of tridiagonal matrices of Sylvester type
• Another look at a matrix of Mark Kac
• An explicit formula for singular values of the Sylvester-Kac matrix
• Fibonacci polynomials and Sylvester determinant of tridiagonal matrix
• The Sylvester-Kac matrix space
• Determinants and their applications in mathematical physics
• Sylvester-tridiagonal matrix with alternating main diagonal entries and its spectra
• On a remarkable property of a matrix of Mark Kac
• Eigenvalues and eigenvectors of a class of irreducible tridiagonal matrices
• 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
• Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix
• A Class of Triple-Diagonal Matrices for Test Purposes
• Random Walk and the Theory of Brownian Motion
• A new type of Sylvester–Kac matrix and its spectrum

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