On computing root polynomials and minimal bases of matrix pencils

DOI10.1016/j.laa.2022.10.025zbMath1504.15039arXiv2110.15416OpenAlexW3210750863MaRDI QIDQ2104967

Vanni Noferini, Paul Van Dooren

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2110.15416

zbMATH Keywords

Smith formmatrix pencilmaximal setminimal basisstaircase algorithmroot polynomiallocal Smith form

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (2)

The \(\mathbb{DL}(P)\) vector space of pencils for singular matrix polynomials ⋮ Revisiting the Matrix Polynomial Greatest Common Divisor

Uses Software

• mctoolbox

Cites Work

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