Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials

DOI10.1016/j.laa.2015.09.015zbMath1327.15022OpenAlexW2096718403MaRDI QIDQ896865

Froilán M. Dopico, D. Steven Mackey, Paul Van Dooren, Fernando De Terán

Publication date: 14 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.09.015

zbMATH Keywords

inverse problemminimal indicesdual minimal basessingular matrix polynomialszigzag matrices

Mathematics Subject Classification ID

Linearizations (93B18) Inverse problems in linear algebra (15A29) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21) Special matrices (15B99)

Related Items

Block Kronecker linearizations of matrix polynomials and their backward errors, Block minimal bases \(\ell\)-ifications of matrix polynomials, Strong Linearizations of Rational Matrices, Structured strong $\boldsymbol{\ell}$-ifications for structured matrix polynomials in the monomial basis, Quadratic realizability of palindromic matrix polynomials, Polynomial zigzag matrices, dual minimal bases, and the realization of completely singular polynomials, Structured backward error analysis of linearized structured polynomial eigenvalue problems, Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade, Robustness and perturbations of minimal bases. II: The case with given row degrees, Robustness and perturbations of minimal bases, Constructing strong \(\ell\)-ifications from dual minimal bases

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