Matrix Pencils with Coefficients that have Positive Semidefinite Hermitian Parts

DOI10.1137/21M1439997zbMath1496.15008arXiv2108.05566OpenAlexW4285390861MaRDI QIDQ5094218

Michał Wojtylak, Christian Mehl, Volker Mehrmann

Publication date: 2 August 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.05566

zbMATH Keywords

stabilitymatrix polynomialsmatrix pencilsKronecker canonical formindex structuredissipative Hamiltonian systempencil regularity

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items

Stability of matrix polynomials in one and several variables ⋮ On the quasi-stability criteria of monic matrix polynomials ⋮ Matrix pencils with the numerical range equal to the whole complex plane

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