Recovery of Eigenvectors and Minimal Bases of Matrix Polynomials from Generalized Fiedler Linearizations

DOI10.1137/100816808zbMath1244.65051OpenAlexW2020509297MaRDI QIDQ3094397

Froilán M. Dopico, Fernando De Terán, María Isabel Bueno

Publication date: 25 October 2011

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

Full work available at URL: https://semanticscholar.org/paper/ccbb56f1da864c13726af5409e28dc500e0accbe

zbMATH Keywords

eigenvector symmetric polynomials linearizations matrix polynomials matrix pencil polynomial eigenvalue problem elementary divisors palindromic polynomials Frobenius companion forms minimal bases, Fiedler pencils

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

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