On the inverse eigenvalue problem for \(T\)-alternating and \(T\)-palindromic matrix polynomials

DOI10.1016/j.laa.2014.03.037zbMath1288.65045OpenAlexW2035262893MaRDI QIDQ2451670

Leonhard Batzke, Christian Mehl

Publication date: 4 June 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.03.037

zbMATH Keywords

triangularizationmatrix polynomialSmith formmatrix pencilpalindromic matrix polynomialalternating matrix polynomialanti-triangular form

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (7)

On a class of inverse palindromic eigenvalue problem ⋮ 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 ⋮ Quadratic realizability of palindromic matrix polynomials: the real case ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ On inverse eigenvalue problems of quadratic palindromic systems with partially prescribed eigenstructure

Cites Work

• Unnamed Item
• Unnamed Item
• Skew-symmetric matrix polynomials and their Smith forms
• Hermitian quadratic matrix polynomials: solvents and inverse problems
• Jordan structures of alternating matrix polynomials
• Polynomial eigenvalue problems with Hamiltonian structure
• Triangularizing matrix polynomials
• Triangularizing Quadratic Matrix Polynomials
• Inverse problems for damped vibrating systems
• Smith forms of palindromic matrix polynomials
• Jacobi-like Algorithms for the Indefinite Generalized Hermitian Eigenvalue Problem
• Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
• Inverse Spectral Problems for Semisimple Damped Vibrating Systems

This page was built for publication: On the inverse eigenvalue problem for \(T\)-alternating and \(T\)-palindromic matrix polynomials