On the Inverse Symmetric Quadratic Eigenvalue Problem

DOI10.1137/130905216zbMath1320.47007OpenAlexW2072684432MaRDI QIDQ2877088

Peter Lancaster, Zaballa, I.

Publication date: 21 August 2014

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

Full work available at URL: https://semanticscholar.org/paper/2f29727998d6d31493059c31ef6526457a98faa1

zbMATH Keywords

sign characteristicinverse quadratic eigenvalue problemself-adjoint Jordan triplessymmetric matrix polynomials

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Difference equations (39A99) Numerical solutions to inverse eigenvalue problems (65F18) Matrix pencils (15A22)

Related Items (11)

Nearest linearly structured polynomial matrix with some prescribed distinct eigenvalues ⋮ Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ Quadratic realizability of palindromic matrix polynomials ⋮ Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials ⋮ Normalization of Eigenvectors and Certain Properties of Parameter Matrices Associated with The Inverse Problem for Vibrating Systems ⋮ Quadratic realizability of palindromic matrix polynomials: the real case ⋮ Van Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural Data ⋮ The Polynomial Eigenvalue Problem is Well Conditioned for Random Inputs ⋮ Matrix Polynomials with Completely Prescribed Eigenstructure ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach ⋮ On the Sign Characteristics of Selfadjoint Matrix Polynomials

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