Comparison theorems for splittings of matrices

DOI10.1007/s002110100333zbMath1012.65028OpenAlexW2061592236MaRDI QIDQ1849664

Yong-Zhong Song

Publication date: 1 December 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100333

zbMATH Keywords

convergencecomparison of methodsparallel computationiterative methodsmultisplitting methodHermitian positive semidefinite matrixnonnegative splitting methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Linear equations (linear algebraic aspects) (15A06)

Related Items (25)

Semiconvergence of parallel multisplitting methods for symmetric positive semidefinite linear systems ⋮ A note on double splittings of different monotone matrices ⋮ Nonnegative splittings for rectangular matrices ⋮ Index-proper nonnegative splittings of matrices ⋮ On the convergence theory of double \(K\)-weak splittings of type II. ⋮ Preconditioned AOR iterative method for linear systems ⋮ A note on double weak splittings of type II ⋮ A class of modified modulus-based synchronous multisplitting iteration methods for linear complementarity problems ⋮ Some comparison theorems for proper weak splittings of type II ⋮ An effective stationary iterative method via double splittings of matrices ⋮ Convergence for nonnegative double splittings of matrices ⋮ Two stage waveform relaxation method for the initial value problems of differential-algebraic equations ⋮ Convergence of \(H\)-double splitting for \(H\)-matrices ⋮ Convergence and comparison results for double splittings of Hermitian positive definite matrices ⋮ 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 ⋮ New preconditioned AOR iterative method for Z-matrices ⋮ A note on different subclass of index-proper splittings for singular matrices ⋮ Two-stage waveform relaxation method for the initial value problems with non-constant coefficients ⋮ Convergent improvement of SSOR multisplitting method for an \(H\)-matrix ⋮ Reaction-diffusion modeling of the spread of spruce budworm in boreal ecosystem ⋮ Comparison theorems of spectral radius for splittings of 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

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