On the sign characteristics of Hermitian matrix polynomials
type: Item
instance of: scholarly article
title: On the sign characteristics of Hermitian matrix polynomials
zbMATH Open document ID: 1352.15027
author: Volker Mehrmann
author: Vanni Noferini
author: Françoise Tisseur
author: Hongguo Xu
published in: Linear Algebra and its Applications
publication date: 2016-10-26T00:00:00Z
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 37J25
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 6643908
zbMATH Keywords: Hermitian matrix polynomial
zbMATH Keywords: sign characteristic
zbMATH Keywords: sign characteristic at infinity
zbMATH Keywords: sign feature
zbMATH Keywords: signature constraint
zbMATH Keywords: perturbation theory
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: infinite eigenvalues
zbMATH Keywords: Möbius transformations
describes a project that uses: mftoolbox
MaRDI profile type: Publication
full work available at URL: j.laa.2016.09.002
OpenAlex ID: W2177869558
cites work: Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification
cites work: Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness
cites work: Robust formulas for \(H_{\infty }\) optimal controllers
cites work: A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control
cites work: Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations
cites work: Dissipativity Enforcement via Perturbation of Para-Hermitian Pencils
cites work: Numerical computation of an analytic singular value decomposition of a matrix valued function
cites work: First order spectral perturbation theory of square singular matrix pencils
cites work: Spectral analysis of selfadjoint matrix polynomials
cites work: Q5711210
cites work: Q3939931
cites work: Passivity Enforcement via Perturbation of Hamiltonian Matrices
cites work: Shorter Notes: The Roots of a Polynomial Vary Continuously as a Function of the Coefficients
cites work: The elementary divisor theorem for certain rings without chain condition
cites work: Functions of Matrices
cites work: A Precise Bound For Gyroscopic Stabilization
cites work: Q5526485
cites work: Q3226265
cites work: Graphical Krein Signature Theory and Evans--Krein Functions
cites work: Q3150781
cites work: On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
cites work: Q5708359
cites work: Strongly stable gyroscopic systems
cites work: Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence
cites work: Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
cites work: Möbius transformations of matrix polynomials
cites work: Numerical methods for the computation of analytic singular value decompositions
cites work: Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations
cites work: The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation
cites work: Q5571936
cites work: On the computation of multi-dimensional solution manifolds of parametrized equations
cites work: Elements of Differential Topology
cites work: Pencils of complex and real symmetric and skew matrices
cites work: The quadratic eigenvalue problem
cites work: Q3128879
DOI: 10.1016/J.LAA.2016.09.002
description: scientific article; zbMATH DE number 6643908