广义三次矩阵的Jordan标准形

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (3): 510-516.

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Jordan Standard Form of Generalized Cubic Matrix

LV Hongbin¹, YANG Zhongpeng², CHEN Meixiang², FENG Xiaoxia³

1. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China;2. School of Mathematics and Finance, Putian University, Putian 351100, Fujian Province, China；3. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, Fujian Province, China

Received:2018-12-13 Online:2019-05-26 Published:2019-05-20
Contact: YANG Zhongpeng E-mail:yangzhongpeng@126.com

Abstract

Abstract: By using the method of matrix analysis, based on the existing defined expressions of the generalized cubic matrix, we gave the equivalent expressions related to all possible eigenvalues of generalized cubic matrices, and gave the complete description of Jordan standard form of the generalized cubic matrix.

Key words: generalized cubic matrix, Jordan standard form, idempotent matrix, matrix index, minimum polynomial

CLC Number:

O151.21

LV Hongbin, YANG Zhongpeng, CHEN Meixiang, FENG Xiaoxia. Jordan Standard Form of Generalized Cubic Matrix[J].Journal of Jilin University Science Edition, 2019, 57(3): 510-516.

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Jordan Standard Form of Generalized Cubic Matrix

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