Much of the algebra that is associated with the Kronecker product of matrices has been rendered in the conventional notation of matrix algebra, which conceals the essential structures of the objects of the analysis. This makes it difficult to establish even the most salient of the results. The problems can be greatly alleviated by adopting an orderly index notation that reveals these structures. This claim is demonstrated by considering a problem that several authors have already addressed without producing a widely accepted solution.

中文翻译：

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多维数组，索引和Kronecker产品

与矩阵的Kronecker乘积相关联的许多代数已经以矩阵代数的常规表示法进行了表示，该矩阵表示法隐藏了分析对象的基本结构。这使得很难确定甚至是最显着的结果。通过采用揭示这些结构的有序索引符号，可以大大缓解这些问题。通过考虑几个作者已经解决的问题而不提出广泛接受的解决方案来证明这一主张。