Root polynomials and their role in the theory of matrix polynomials

DOI10.1016/j.laa.2019.09.006zbMath1439.15004OpenAlexW2972503543MaRDI QIDQ2332417

Froilán M. Dopico, Vanni Noferini

Publication date: 4 November 2019

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

Full work available at URL: http://eprints.maths.manchester.ac.uk/2659/1/preprint.pdf

zbMATH Keywords

eigenvaluespolynomial matricessingularmatrix polynomialsminimal basesJordan chainscomplete setmaximal setroot polynomials\(\mu\)-independent seteigenvectors of singular matrix polynomialsminimaximal set

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21) Numerical computation of roots of polynomial equations (65H04) Matrix exponential and similar functions of matrices (15A16)

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