A generalized Cayley-Hamilton theorem for polynomials with matrix coefficients

DOI10.1016/j.laa.2010.08.039zbMath1209.15019OpenAlexW2092710384MaRDI QIDQ616283

Suk-Geun Hwang

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.08.039

zbMATH Keywords

Cayley-Hamilton theoremdeterminantsimultaneous triangularizationgeneralized Cayley-Hamilton theorempolynomials with matrix coefficients

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Matrices over function rings in one or more variables (15A54)

Related Items (2)

A generalized Cayley-Hamilton theorem ⋮ Some counterexamples for Cayley-Hamilton theorem for doubly infinite matrices

Cites Work

• The generalized Cayley-Hamilton theorem for standard pencils
• An extension of the Cayley-Hamilton theorem for non-square block matrices and computation of the left and right inverses of matrices
• Matrix Analysis
• Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil<tex>(sE - A)</tex>
• Triangular Matrices and the Cayley-Hamilton Theorem
• Some Theorems on Commutative Matrices
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