Properweak regular splitting and its application to convergence of alternating iterations

DOI10.2298/FIL1819563MzbMath1499.15005arXiv1602.01972OpenAlexW2962942649WikidataQ127985475 ScholiaQ127985475MaRDI QIDQ5086864

Debasisha Mishra

Publication date: 7 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01972

zbMATH Keywords

comparison theoremMoore-Penrose inverseconvergence theoremnonnegativityproper splittings

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Related Items (2)

Three-step alternating iterations for index 1 and non-singular matrices ⋮ Alternating stationary iterative methods based on double splittings

Cites Work

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• Nonnegative splittings for rectangular matrices
• Comparison theorems for a subclass of proper splittings of matrices
• Comparisons of weak regular splittings and multisplitting methods
• Existence and uniqueness of splittings for stationary iterative methods with applications to alternating methods
• Iterative methods for least-square problems based on proper splittings.
• Generalized inverses. Theory and applications.
• Convergence and comparison theorems for single and double decompositions of rectangular matrices
• Numerical methods for solving linear least squares problems
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems

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