The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation
From MaRDI portal
Publication:3166892
DOI10.13001/1081-3810.1545zbMath1250.15014arXiv1111.4004OpenAlexW2962802737MaRDI QIDQ3166892
Publication date: 1 November 2012
Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.4004
minimal indicesmatrix polynomialpolynomial matrixelementary divisorsrational transformationcomplete eigenstructure
Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)
Related Items (17)
Wilkinson's bus: weak condition numbers, with an application to singular polynomial eigenproblems ⋮ On the sign characteristics of Hermitian matrix polynomials ⋮ Solving polynomial eigenvalue problems by means of the Ehrlich-Aberth method ⋮ Quadratic realizability of palindromic matrix polynomials ⋮ The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials ⋮ Spectral equivalence of matrix polynomials and the index sum theorem ⋮ Invertible bases and root vectors for analytic matrix-valued functions ⋮ Quasi-triangularization of matrix polynomials over arbitrary fields ⋮ Structured backward error analysis of linearized structured polynomial eigenvalue problems ⋮ Modifications of Newton's method for even-grade palindromic polynomials and other twined polynomials ⋮ Möbius transformations of matrix polynomials ⋮ Duality of matrix pencils, Wong chains and linearizations ⋮ Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems ⋮ Root polynomials and their role in the theory of matrix polynomials ⋮ Matrix Polynomials with Completely Prescribed Eigenstructure ⋮ Root vectors of polynomial and rational matrices: theory and computation ⋮ On computing root polynomials and minimal bases of matrix pencils
This page was built for publication: The behavior of the complete eigenstructure of a polynomial matrix under a generic rational transformation
