A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications
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Publication:3104556
DOI10.1080/03081087.2010.496112zbMath1235.15007OpenAlexW2016204236MaRDI QIDQ3104556
Publication date: 14 December 2011
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2010.496112
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (4)
Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute ⋮ On a disjoint idempotent decomposition for linear combinations produced from \(n\) commutative tripotent matrices ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices ⋮ The group inverse of the combinations of two idempotent operators
Cites Work
- On idempotency of linear combinations of idempotent matrices
- On linear combinations of two tripotent, idempotent, and involutive matrices
- On idempotency and tripotency of linear combinations of two commuting tripotent matrices
- Once more on algebras generated by two projections
- Oblique projectors and group involutory matrices
- Idempotency of linear combinations of two idempotent matrices
- A note on linear combinations of commuting tripotent matrices
- Idempotency of linear combinations of an idempotent matrix and a \(t\)-potent matrix that commute
- Two universal similarity factorization equalities for commutative involutory and idempotent matrices and their applications
- When is a linear combination of two idempotent matrices the group involutory matrix?
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