Convergence for nonnegative double splittings of matrices

DOI10.1007/s10092-010-0037-2zbMath1232.65056OpenAlexW1977825977MaRDI QIDQ652557

Juan-Miguel Gracia

Publication date: 14 December 2011

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-010-0037-2

zbMATH Keywords

comparisonconvergencelinear systemsnumerical examples2-step iterationsdouble splittingsJacobi double SOR method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (13)

Proper nonnegative splittings over proper cones of rectangular matrices ⋮ On comparison results for \(K\)-nonnegative double splittings of different \(K\)-monotone matrices ⋮ More on proper nonnegative splittings of rectangular matrices ⋮ Comparison theorems for single and double splittings of matrices ⋮ Nonnegative splittings for rectangular matrices ⋮ On the convergence theory of double \(K\)-weak splittings of type II. ⋮ A note on double weak splittings of type II ⋮ Comparison results for \(K\)-nonnegative double splittings of \(K\)-monotone matrices ⋮ An effective stationary iterative method via double splittings of matrices ⋮ Convergence of \(H\)-double splitting for \(H\)-matrices ⋮ Alternating stationary iterative methods based on double splittings ⋮ Comparison theorems of spectral radius for splittings of matrices ⋮ Comparison results for proper double splittings of rectangular matrices

Cites Work

• Comparisons of nonnegative splittings of matrices
• A note on double splittings of different monotone matrices
• Comparison theorems for weak splittings of bounded operators
• On convergence of double splitting methods for non-Hermitian positive semidefinite linear systems
• Iterative schemes for the neutron diffusion equation.
• Comparison theorems for splittings of matrices
• Convergence and comparison results for double splittings of Hermitian positive definite matrices
• Convergence and comparison theorems for double splittings of matrices
• A Guide to the Acceleration of Iterative Methods Whose Iteration Matrix is Nonnegative and Convergent
• Estimation of the Optimum Relaxation Factors in Partial Factorization Iterative Methods
• Two-sweep iterative methods
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