On nonsingularity and group invertibility of combinations of two group invertible matrices

DOI10.2298/FIL2011675LzbMath1499.15009MaRDI QIDQ5081256

Yu Li, Kezheng Zuo

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

rankinvertibilitycombinationgroup invertibility

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• On invertibility of combinations of \(k\)-potent operators
• Invertibility of a linear combination of two matrices and partial orderings
• Generalized Drazin invertibility of combinations of idempotents
• Properties of the combinations of commutative idempotents
• The nullity and rank of linear combinations of idempotent matrices
• Nonsingularity of the difference and the sum of two idempotent matrices
• The difference and sum of projectors
• Rank equalities for idempotent matrices with applications.
• The group inverse of the combinations of two idempotent matrices
• Invertibility of linear combinations of two idempotents
• Matrix Analysis
• Nonsingularity of the Difference of Two Oblique Projectors
• The invertibility of the difference and the sum of commuting generalized and hypergeneralized projectors
• Rank equalities for idempotent and involutory matrices

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