TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS

Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (1): 977-984.

• 论文 • 下一篇

TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS

郑泉水¹, 戴天民²

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

收稿日期:1982-10-07 出版日期:1984-01-18 发布日期:1984-01-18

TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS

Zheng Quan-shui¹, Tai Tien-min²

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

Received:1982-10-07 Online:1984-01-18 Published:1984-01-18

摘要/Abstract

摘要： 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.

关键词: spectrum analysis, correction, signal processing, phase difference

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.

Key words: spectrum analysis, correction, signal processing, phase difference

郑泉水;戴天民. TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 977-984.

Zheng Quan-shui;Tai Tien-min. TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS[J]. Applied Mathematics and Mechanics (English Edition), 1984, 5(1): 977-984.

[1]	Shengjun FENG, Xiaojing ZHENG, Ruifeng HU, Ping WANG. Large eddy simulation of high-Reynolds-number atmospheric boundary layer flow with improved near-wall correction[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(1): 33-50.
[2]	Weipeng HU, Mingzhe SONG, Zichen DENG. Structure-preserving properties of Störmer-Verlet scheme for mathematical pendulum[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(9): 1225-1232.
[3]	V. MISHRA, B. R. GUPTA. Motion of a permeable shell in a spherical container filled with non-Newtonian fluid[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1697-1708.
[4]	魏英杰;朱蒙生;何钟怡. LARGE EDDY SIMULATION AND SPECTRUM ANALYSIS OF FLOW AROUND TWO SQUARE CYLINDERS ARRANGED SIDE BY SIDE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 903-910.
[5]	丁康;罗江凯;谢明. TIME-SHIFTING CORRECTING METHOD OF PHASE DIFFERENCE ON DISCRETE SPECTRUM[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 819-827.
[6]	李宾;李映辉;殷学纲. DYNAMIC MODELING AND SIMULATION OF FLEXIBLE CABLE WITH LARGE SAG[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(6): 707-714.
[7]	张湘伟;骆少明;中桐滋. WAVELET ANALYSIS IN TESTING SIGNALS[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(3): 221-225.
[8]	史玉明;刘光旭. SINGULAR PERTURBATIONS FOR A CLASS OF BOUNDARY VALUE PROBLEMS OF HIGHER ORDER NONLINEAR DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(12): 1193-1201.
[9]	秦圣立;张爱淑. A UNIFORMLY VALID ASYMPTOTIC SOLUTION OF THE NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(11): 1055-1067.

TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS

TWO SIMPLE PROOFS OF CAYLEY-HAMILTON THEOREM AND TWO REPRESENTATION THEOREMS

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 9

编辑推荐

Metrics

本文评价