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New Good’s Type Kronecker Power Expansions
Problems of Information Transmission ( IF 1.2 ) Pub Date : 2018-10-13 , DOI: 10.1134/s0032946018030043
M. S. Bespalov

We propose a new version of the proof of Good’s theorem stating that the Kronecker power of an arbitrary square matrix can be represented as a matrix power of a sparse matrix Z. We propose new variants of sparse matrices Z. We observe that for another version of the tensor power of a matrix, the b-power, there exists an analog of another Good’s expansion but no analog of this theorem.

中文翻译:

New Good's型Kronecker电源扩展

我们提出了古德定理证明的新版本,其中指出任意方阵的Kronecker幂可以表示为稀疏矩阵Z的矩阵幂。我们提出了稀疏矩阵Z的新变体。我们观察到,对于矩阵的张量幂的另一个形式b幂,存在另一个Good's展开的类似物,但没有该定理的类似物。
更新日期:2018-10-13
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