Mathematical analysis demonstrates explicit representations for the core inverse of anti-triangular block matrices over rings, highlighting conditions for the EP property.
This paper investigates the core inverse of the anti-triangular block matrix M=( arraycc A&B\\ C&0 array ) over a ring. We derive new explicit representations for the core inverse of M under specific conditions. In particular, the EP property of M involving two identical subblocks is investigated.
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Huanyin Chen (2026) studied this question.
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