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

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Abstract

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

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References

  1. Guo Zhong-heng, Theory of Nonlinear Elasticity, Science Press, (1980). (in Chinese)

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Authors and Affiliations

  1. Kiangsi Institute of Technology, Kiangsi, China

    Zheng Quan-shui

  2. Southwestern Jiaotong University, Liaoning University, Liaoning city, China

    Tai Tien-min

Authors
  1. Zheng Quan-shui
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  2. Tai Tien-min
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Quan-shui, Z., Tien-min, T. Two simple proofs of Cayley-Hamilton theorem and two representation theorems. Appl Math Mech 5, 977–984 (1984). https://doi.org/10.1007/BF01875885

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  • DOI: https://doi.org/10.1007/BF01875885

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