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arXiv · 2112.10856

Expressions and characterizations for the Moore-Penrose inverse

Patricia Mariela Morillas
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Abstract

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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Patricia Mariela Morillas. 2021-12-20. Expressions and characterizations for the Moore-Penrose inverse. https://doi.org/10.13001/ela.2023.7315

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