A note on Hermitian positive semidefinite matrix polynomials

DOI10.1016/j.laa.2020.03.038zbMath1458.15058OpenAlexW3015179079MaRDI QIDQ2173325

Shmuel Friedland, Aaron Melman

Publication date: 22 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.03.038

zbMATH Keywords

matrix polynomialpositive coefficientsHermitian positive definite

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) 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) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical computation of roots of polynomial equations (65H04)

Related Items (2)

Polynomial eigenvalue estimation: numerical radii versus norms ⋮ Matrices whose eigenvalues are those of a quadratic matrix polynomial

Cites Work

• Zero-Free Regions of Polynomials
• Unnamed Item

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