On the bounds of eigenvalues of matrix polynomials

DOI10.1007/s41478-022-00481-3OpenAlexW4292324233MaRDI QIDQ2692682

Sooraj Singh, Wali Mohammad Shah

Publication date: 22 March 2023

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-022-00481-3

zbMATH Keywords

boundsmatrix polynomialpolynomial eigenvalue problem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications
• On the Numerical Solution of $(\lambda^2 A + \lambda B + C), x = b$ and Application to Structural Dynamics
• On the location of eigenvalues of matrix polynomials
• Estimates for the modulii of the zeros of a polynomial

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