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Pure Mathematics 2026
从Roth消去法则到Jordan标准形
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Abstract:
本文从Roth消去法则出发，给出了Jordan标准形定理的一个纯矩阵证明。
From the Roth’s removal rule, we give a proof of pure matrix for Jordan canonical form theorem.
| [1] | Roth, W.E. (1952) The Equations AX − YB = C and AX − XB = C in Matrices. Proceedings of the American Mathematical Society, 3, 392-396. https://doi.org/10.1090/s0002-9939-1952-0047598-3 |
| [2] | 王萼芳, 石生明. 高等代数[M]. 第3版. 北京: 高等教育出版社, 2003. |
| [3] | Horn, R.A. and Johnson, C.R. (2004) Matrix Analysis. Cambridge University Press. |
| [4] | Jacobson, N. (1953) Lectures in Abstract Algebra Volume II: Linear Algebra. Springer-Verlag. |
