Bound estimates of the eigenvalues of matrix polynomials

DOI10.1007/s41478-023-00633-zMaRDI QIDQ6118991

Wali Mohammad Shah, Unnamed Author

Publication date: 21 March 2024

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

zbMATH Keywords

eigenvaluematrix polynomialCauchy-type bound

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) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10)

Cites Work

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• Bounds for eigenvalues of matrix polynomials
• Generalization and variations of Pellet's theorem for matrix polynomials
• The Quadratic Eigenvalue Problem
• 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
• Locating the Eigenvalues of Matrix Polynomials

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