\(B_D\)-splittings of matrices

DOI10.1016/j.laa.2012.04.009zbMath1247.15002OpenAlexW13571133MaRDI QIDQ432735

Debasisha Mishra, Litismita Jena

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.009

zbMATH Keywords

comparison theoremDrazin inversegroup inverseconvergence theoremnonnegativityindex-proper splittings

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items

Index-proper nonnegative splittings of matrices ⋮ Interval Drazin monotonicity of matrices ⋮ Three-step alternating iterations for index 1 and non-singular matrices ⋮ Extensions of theory of regular and weak regular splittings to singular matrices ⋮ Matrix group monotonicity using a dominance notion ⋮ A note on different subclass of index-proper splittings for singular matrices ⋮ A note on index-proper multisplittings of matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison theorems for a subclass of proper splittings of matrices
• Comparisons of regular splittings of matrices
• A new characterization of inverse-positive matrices
• Comparisons of weak regular splittings and multisplitting methods
• Nonnegative Drazin inverses
• Index splitting for the Drazin inverse and the singular linear system
• Generalized inverses. Theory and applications.
• Generalizations of matrix monotonicity and their relationships with certain subclasses of proper splittings
• Nonnegative generalized inverses and least elements of polyhedral sets
• Linear equations and inequalities on finite dimensional, real or complex, vector spaces: a unified theory
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• Additional results on index splittings for Drazin inverse solutions of singular linear systems
• On positive invertibility of operators and their decompositions
• Matrix Group Monotonicity
• Comparisons ofB_row-splittings andB_ran-splittings of matrices
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
• Monotonicity and the Generalized Inverse

This page was built for publication: \(B_D\)-splittings of matrices