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THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM (Q2941129)

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Language	Label	Description	Also known as
English	THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM	scientific article

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scholarly article

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THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM (English)

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Forum of Mathematics, Sigma

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publication date

27 August 2015

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1017/fms.2015.14

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Hermitian quadratic matrix polynomials: solvents and inverse problems

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Backward error and condition of polynomial eigenvalue problems

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Inverse Spectral Problems for Semisimple Damped Vibrating Systems

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On perturbations of matrix pencils with real spectra. II

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Some inequalities for commutators and an application to spectral variation. II

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An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems

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Sharp Convergence Estimates for the Preconditioned Steepest Descent Method for Hermitian Eigenvalue Problems

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Matrix Polynomials

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Overdamped and Gyroscopic Vibrating Systems

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An Algorithm for Generalized Matrix Eigenvalue Problems

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SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS

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LAPACK Users' Guide

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Homotopy continuation method for the numerical solutions of generalised symmetric eigenvalue problems

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Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations

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Trace minimization and definiteness of symmetric pencils

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The perturbation bounds for eigenspaces of a definite matrix-pair

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A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems

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Vector Spaces of Linearizations for Matrix Polynomials

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Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification

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Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

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Numerical Solution of a Quadratic Matrix Equation

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Simultaneous Rayleigh-quotient minimization methods for Ax=lambdaBx

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Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications

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Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems

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Trace minimization principles for positive semi-definite pencils

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Extensions of Wielandt’s min–max principles for positive semi-definite pencils

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A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems

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Structured backward error for palindromic polynomial eigenvalue problems

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A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter

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Damped oscillations of linear systems. A mathematical introduction

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On Meinardus' examples for the conjugate gradient method

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On perturbations of matrix pencils with real spectra, a revisit

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A Jacobi eigenreduction algorithm for definite matrix pairs

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The Quadratic Eigenvalue Problem

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Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method

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A note on Stewart's theorem for definite matrix pairs

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Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems

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Definite Matrix Polynomials and their Linearization by Definite Pencils

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Matrix Algorithms

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Backward Error of Polynomial Eigenproblems Solved by Linearization

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Perturbation bounds for the definite generalized eigenvalue problem

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Numerical analysis of a quadratic matrix equation

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Algorithms for hyperbolic quadratic eigenvalue problems

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Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems

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Numerical solution of a quadratic eigenvalue problem

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A minimax theory for overdamped systems

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Identifiers

zbMATH Open document ID

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10.1017/fms.2015.14

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2941129

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