Titlebook: Algebraic Theory of Generalized Inverses; Jianlong Chen,Xiaoxiang Zhang Book 2024 Science Press 2024 Algebraic equation.regularity.Moore—P

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Local Properties of IntersectionIn the previous chapters, we introduced Moore-Penrose inverses, group inverses and Drazin inverses, which are the most well-known generalized inverses. Although these generalized inverses coincide in some special cases, they behave rather differently in general.

Connotation

Deformations of Mathematical Structures IIFor any square complex matrix . with index 1, we know that the core inverse of . exists and it is equal to .. For a square complex matrix . of an arbitrary index, by noting that the Drazin inverse . always exists, it is natural to consider the generalized inverse . so as to generalize the core inverse.

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Pseudo Core Inverses,For any square complex matrix . with index 1, we know that the core inverse of . exists and it is equal to .. For a square complex matrix . of an arbitrary index, by noting that the Drazin inverse . always exists, it is natural to consider the generalized inverse . so as to generalize the core inverse.

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https://doi.org/10.1007/978-981-99-8285-1Algebraic equation; regularity; Moore—Penrose inverse,; Drazin inverse; group inverse; core inverse; pseud

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