Comparisons ofBrow-splittings andBran-splittings of matrices

DOI10.1080/03081087.2012.661426zbMath1332.65040OpenAlexW2022386787MaRDI QIDQ4908159

Debasisha Mishra, Litismita Jena

Publication date: 4 March 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.661426

zbMATH Keywords

comparison theoremMoore-Penrose inversegroup inverseproper splittingnonnegativity

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10)

Related Items

Three-step alternating iterations for index 1 and non-singular matrices ⋮ \(B_D\)-splittings of matrices ⋮ Three-step alternating and preconditioned scheme for rectangular matrices

Cites Work

• Comparison theorems for a subclass of proper splittings of matrices
• Comparisons of regular splittings of matrices
• Comparisons of nonnegative splittings of matrices
• A new characterization of inverse-positive matrices
• Comparisons of weak regular splittings and multisplitting methods
• A characterization of weak-monotone matrices
• Eight types of matrix monotonicity
• Index splitting for the Drazin inverse and the singular linear system
• Nonnegative splitting theory
• Nonnegative generalized inverses and least elements of polyhedral sets
• Proper Splittings of Rectangular Matrices
• A dominance notion for singular matrices with applications to nonnegative generalized inverses
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
• Monotonicity and the Generalized Inverse
• Matrix Iterative Analysis

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