Two simple proofs of Cayley-Hamilton theorem and two representation theorems

DOI10.1007/BF01875885zbMath0556.15009OpenAlexW2062998566MaRDI QIDQ761521

Tienmin Thai, Quan-Shui Zheng

Publication date: 1984

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01875885

zbMATH Keywords

Cayley-Hamilton theoremquadratic polynomialsanalytic matrix function

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69)

Related Items

An elementary proof for the representation theorem of analytic isotropic tensor functions of a second-order tensor ⋮ General algorithms for the polar decomposition and strains

Cites Work

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• The theory of matrix polynomials and its application to the mechanics of isotropic continua