A dominance notion for singular matrices with applications to nonnegative generalized inverses
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Publication:5200327
DOI10.1080/03081087.2011.632378zbMath1261.15007OpenAlexW2025557125MaRDI QIDQ5200327
Debasisha Mishra, K. C. Sivakumar
Publication date: 5 November 2012
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2011.632378
Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (5)
On finding robust approximate inverses for large sparse matrices ⋮ \(P\)-proper splittings ⋮ Matrix group monotonicity using a dominance notion ⋮ Comparisons ofBrow-splittings andBran-splittings of matrices ⋮ A note on index-proper multisplittings of matrices
Cites Work
- Preconditionings and splittings for rectangular systems
- Nonnegative Drazin inverses
- The Moore-Penrose inverses of singular M-matrices
- Index splitting for the Drazin inverse and the singular linear system
- (T,S) splitting methods for computing the generalized inverse and rectangular systems∗
- Proper Splittings of Rectangular Matrices
- Preconditioners for non-Hermitian Toeplitz systems
- Characterizations of Real Matrices of Monotone Kind
- Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
- A Note on Pseudoinverses
- Matrix Iterative Analysis
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