Inertia theorems for matrix polynomials

DOI10.1080/03081089108818100zbMath0752.15010OpenAlexW2060977759MaRDI QIDQ4005271

Leonid Lerer, Leiba Rodman, Miron Tismenetsky

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/03081089108818100

zbMATH Keywords

Lyapunov methodinertiamatrix polynomialslinear matrix equationBézoutian

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54)

Related Items

On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems, On generalization of classical Hurwitz stability criteria for matrix polynomials, Bézoutians of rational matrix functions, matrix equations and factorizations, Stability theory for high order equations, On the relation between Hurwitz stability of matrix polynomials and matrix-valued Stieltjes functions, Symmetric factorizations and localization of zeroes of rational matrix functions

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