Cayley-Hamilton定理的两种简单证法和两个表现定理

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Two Simple Proofs of Cayley-Hamilton Theorem and Two Representation Theoremsx

摘要: 本文对Cayley-Hamilton定理提出两种简单证法并应用该定理和罗必塔法则给出两个有关二阶张量函数的表现定理.

Abstract: In this paper two simple proofs of Caplep-Hamilton theorem are given and by making use of Cayley-Hamilton theorem and I'Hopital's two representation theorems concerning tensor functions of an arbitrary second-order tensor are given.

[1]	郭仲衡.《非线性弹性理论》,科学出版社,(1980),
[2]	Truesdell,C.and W.Noll,The Non-Linear Field Theories of Mechanics,Handbuch der Physik,Bd.Ⅱ/3,Springer(1965).
[3]	Spencer,A.I M.and R,S.Rivlin,The theory of matrix rolynomials and its application to the mechanics of isotropic continua,Arch.Rational Mech.Anal,2(1959),309-336
[4]	爱林根.A,《张量分析》钱伟长译,江苏科学技术出版社.(1981).

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