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

Zheng Quan-shui; Tai Tian-min

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1984 > 5(1): 1-8

Zheng Quan-shui, Tai Tian-min. Two Simple Proofs of Cayley-Hamilton Theorem and Two Representation Theoremsx[J]. Applied Mathematics and Mechanics, 1984, 5(1): 1-8.

Citation:

Zheng Quan-shui, Tai Tian-min. Two Simple Proofs of Cayley-Hamilton Theorem and Two Representation Theoremsx[J]. Applied Mathematics and Mechanics, 1984, 5(1): 1-8.

Citation:

Zheng Quan-shui, Tai Tian-min. Two Simple Proofs of Cayley-Hamilton Theorem and Two Representation Theoremsx[J]. Applied Mathematics and Mechanics, 1984, 5(1): 1-8.

PDF( 415 KB)

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

Zheng Quan-shui¹,
Tai Tian-min²

1.
Jiangxi Institute of Technology, Jiangxi;
2.
Southwestern Jiaotong University and Liaoning University

Received Date: 1982-10-07
Publish Date: 1984-02-15

Abstract

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.

FullText(HTML)

References(4)

References

[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).