Comparison theorems for a subclass of proper splittings of matrices

DOI10.1016/j.aml.2012.06.028zbMath1252.65069OpenAlexW2041167141MaRDI QIDQ714592

Debasisha Mishra, K. C. Sivakumar

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.06.028

zbMATH Keywords

iterative methodcomparison theoremsMoore-Penrose inverseproper splittingnonnegativity

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Related Items

Proper nonnegative splittings over proper cones of rectangular matrices ⋮ More on proper nonnegative splittings of rectangular matrices ⋮ Nonnegative splittings for rectangular matrices ⋮ Properweak regular splitting and its application to convergence of alternating iterations ⋮ Some comparison theorems for proper weak splittings of type II ⋮ \(B_D\)-splittings of matrices ⋮ Additional Results on Convergence of Alternating Iterations Involving Rectangular Matrices ⋮ Comparisons ofB_row-splittings andB_ran-splittings of matrices ⋮ Comparison results for proper nonnegative splittings of matrices ⋮ Convergence and comparison theorems for single and double decompositions of rectangular matrices ⋮ Three-step alternating and preconditioned scheme for rectangular matrices ⋮ On comparison theorems for splittings of different semimonotone matrices ⋮ Convergence theory of iterative methods based on proper splittings and proper multisplittings for rectangular linear systems

Cites Work

• 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
• Nonnegative splitting theory
• Generalized inverses. Theory and applications.
• Note on the Generalized Inverse of a Matrix Product
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
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