Abstract

We define the star partial order for matrices in spaces with an indefinite inner product. We also give a characterization of that order in terms of matrices and their Moore-Penrose inverses. Finally, some interesting properties are shown.

中文翻译：

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不定内积空间中的星偏序

摘要

我们为具有不定内积的空间中的矩阵定义星形偏序。我们还根据矩阵及其 Moore-Penrose 逆给出了该顺序的特征。最后，展示了一些有趣的特性。