Approximating the eigenvalues and eigenvectors of birth and death matrices

DOI10.1007/s40314-020-01327-zzbMath1463.15058OpenAlexW3089207105MaRDI QIDQ827396

Susana Furtado, Natália Bebiano

Publication date: 7 January 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01327-z

zbMATH Keywords

eigenvalueeigenvectorToeplitz matrixbirth and death matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Cites Work

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• Finding the closest Toeplitz matrix
• The symmetrization of matrices by diagonal matrices
• Eigenvalues and eigenvectors of some tridiagonal matrices
• Structured distance to normality of tridiagonal matrices
• An inverse problem in birth and death processes
• Eigenpairs of a family of tridiagonal matrices: three decades later
• Monotonicity of the eigenvalues of birth and death matrices
• Spectral Analysis, without Eigenvectors, for Markov Chains
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Spectral representations of the transition probability matrices for continuous time finite Markov chains
• First-Order Perturbation Theory for Eigenvalues and Eigenvectors
• Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz‐type matrices

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