On a class of matrix polynomial equations

DOI10.1016/j.laa.2012.08.020zbMath1305.15041OpenAlexW1972376540MaRDI QIDQ2435363

Leonid Lerer, Marinus A. Kaashoek

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.020

zbMATH Keywords

Kronecker productJordan chainresultant matrixmatrix polynomial equationroot functionSzegő-Kreǐn polynomials

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Linear operator methods in interpolation, moment and extension problems (47A57) Matrices over function rings in one or more variables (15A54)

Related Items (4)

On solutions of generalized Sylvester equation in polynomial matrices ⋮ Total strong common multiplicity of two matrices and Sylvester resultant ⋮ On the low-degree solution of the Sylvester matrix polynomial equation ⋮ On the divisibility of matrices with remainder over the domain of principal ideals

Cites Work

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• The band method and inverse problems for orthogonal matrix functions of Szegő-Kreǐn type
• Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
• Inertia characteristics of self-adjoint matrix polynomials
• On a class of entire matrix function equations
• The resultant for regular matrix polynomials and quasi commutativity
• Resultants of matrix polynomials

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