On linear combinations of generalized involutive matrices
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Publication:3104555
DOI10.1080/03081087.2010.496111zbMath1237.15007OpenAlexW2031533933MaRDI QIDQ3104555
Xiaoji Liu, Julio Benítez Lopez, Ling-Ling Wu
Publication date: 14 December 2011
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10251/52823
Hermitian matrixMoore-Penrose inversecommutativityEP matricesCS-decompositionGeneralized involutive matrix
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 (2)
Maps completely preserving involutions and maps completely preserving Drazin inverse ⋮ On the spectrum of linear combinations of finitely many diagonalizable matrices that mutually commute
Cites Work
- The combination technique and some generalisations
- Moore-Penrose inverses and commuting elements of \(C^*\)-algebras
- History and generality of the CS decomposition
- Canonical analysis of two Euclidean subspaces and its applications
- Generalized and hypergeneralized projectors
- Moore-Penrose inverse of set inclusion matrices
- A note on linear combinations of commuting tripotent matrices
- Further properties of generalized and hypergeneralized projectors
- Applications of CS decomposition in linear combinations of two orthogonal projectors
- On linear combinations of two commuting hypergeneralized projectors
- A note on generalized and hypergeneralized projectors
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