Nonnegative splittings for rectangular matrices

DOI10.1016/j.camwa.2013.10.012zbMath1350.65025OpenAlexW2057913193MaRDI QIDQ316434

Debasisha Mishra

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.10.012

zbMATH Keywords

linear systemcomparison theoremMoore-Penrose inverseproper splittingconvergence theoremnonnegative splittingrectangular matrices

Mathematics Subject Classification ID

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

Related Items (17)

Proper nonnegative splittings over proper cones of rectangular matrices ⋮ More on proper nonnegative splittings of rectangular matrices ⋮ Index-proper nonnegative splittings of matrices ⋮ Properweak regular splitting and its application to convergence of alternating iterations ⋮ Three-step alternating iterations for index 1 and non-singular matrices ⋮ Some comparison theorems for proper weak splittings of type II ⋮ Extensions of theory of regular and weak regular splittings to singular matrices ⋮ Additional Results on Convergence of Alternating Iterations Involving Rectangular Matrices ⋮ Proper splittings and reduced solutions of matrix equations ⋮ Comparison results for proper nonnegative splittings of matrices ⋮ A note on different subclass of index-proper splittings for singular matrices ⋮ Singular \(M\)-matrices which may not have a nonnegative generalized inverse ⋮ Alternating stationary iterative methods based on double splittings ⋮ 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 ⋮ Comparison results for proper double splittings of rectangular matrices

Cites Work

• Convergence for nonnegative double splittings of matrices
• Comparison theorems for a subclass of proper splittings of matrices
• Comparisons of regular splittings of matrices
• Comparisons of nonnegative splittings of matrices
• A note on double splittings of different monotone matrices
• Comparisons of weak regular splittings and multisplitting methods
• Nonnegative splitting theory
• Comparison theorems for splittings of matrices
• Generalized inverses. Theory and applications.
• Convergence and comparison theorems for double splittings of matrices
• Estimation of the Optimum Relaxation Factors in Partial Factorization Iterative Methods
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
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