算子和矩阵的Moore-Penrose逆的表达式和表征

Pub Date : 2021-12-20 DOI:10.13001/ela.2023.7315

P. Morillas

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引用次数: 1

摘要

在一定条件下，我们证明了算子和的Moore-Penrose逆是Moore-Pennrose逆的和。由此，我们导出了对算子的Moore-Penrose逆的计算有用的表达式和特征。我们给出了有限矩阵的它们的公式，并研究了某些图的循环矩阵和距离矩阵的Moore-Penrose逆。

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Expressions and characterizations for the Moore-Penrose inverse of operators and matrices

Under certain conditions, we prove that the Moore-Penrose inverse of a sum of operators is the sum of the Moore-Penrose inverses. From this, we derive expressions and characterizations for the Moore-Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore-Penrose inverse of circulant matrices and of distance matrices of certain graphs.

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