The group involutory matrix of the combinations of two idempotent matrices

DOI10.1155/2012/504650zbMath1250.15005OpenAlexW1981435579WikidataQ58906022 ScholiaQ58906022MaRDI QIDQ442942

Xiaoji Liu, Yaoming Yu, Ling-Ling Wu

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/504650

zbMATH Keywords

linear combinationgroup inverseidempotent matricesgroup involutory

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Cites Work

• Unnamed Item
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• Generalized inverses. Theory and applications.
• A note on linear combinations of commuting tripotent matrices
• The difference and sum of projectors
• On linear combinations of generalized projectors
• Idempotency of linear combinations of an idempotent matrix and a \(t\)-potent matrix that commute
• The group inverse of the combinations of two idempotent matrices
• When is a linear combination of two idempotent matrices the group involutory matrix?
• Idempotency of linear combinations of an idempotent matrix and a t -potent matrix that do not commute
• Group inverse and group involutory Matrices^∗

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