Convergence and comparison theorems for multisplittings

DOI<93::AID-NLA149>3.0.CO;2-8 10.1002/(SICI)1099-1506(199903)6:2<93::AID-NLA149>3.0.CO;2-8zbMath0982.65033OpenAlexW2039903730MaRDI QIDQ2760343

Joan-Josep Climent, Carmen Perea

Publication date: 19 December 2001

Full work available at URL: https://doi.org/10.1002/(sici)1099-1506(199903)6:2<93::aid-nla149>3.0.co;2-8

zbMATH Keywords

comparison conditionsnonnegative (multi) splittingpositive definite (multi) splitting

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (13)

Positive cones and convergence conditions for iterative methods based on splittings ⋮ Parallel multisplitting methods with optimal weighting matrices for linear systems ⋮ A note on double splittings of different monotone matrices ⋮ New comparison results for parallel multisplitting iterative methods ⋮ An effective stationary iterative method via double splittings of matrices ⋮ Convergence theorems for parallel alternating iterative methods. ⋮ Modified parallel multisplitting iterative methods for non-Hermitian positive definite systems ⋮ Proper splittings and reduced solutions of matrix equations ⋮ On parallel multisplitting methods for symmetric positive semidefinite linear systems ⋮ Convergence and comparison theorems for double splittings of matrices ⋮ Comparison results for parallel multisplitting methods with applications to AOR methods ⋮ Sequential and parallel synchronous alternating iterative methods ⋮ Convergence theory of iterative methods based on proper splittings and proper multisplittings for rectangular linear systems

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