How to embrace your spectrum for faster iterative results

DOI10.1016/0024-3795(80)90163-9zbMath0479.65018OpenAlexW2082058955MaRDI QIDQ1162105

John De Pillis

Publication date: 1980

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90163-9

zbMATH Keywords

Hilbert spacek-part splittingasymptotic rate of convergencetwo part iteration

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items

On different classes of monoparametric stationary iterative methods for the solution of linear systems, Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations, Optimum strategy and nonstationary iterative methods for the solution of singular linear systems, A survey of the iterative methods for the solution of linear systems by extrapolation, relaxation and other techniques, On the equivalence of the k-step iterative Euler methods and successive overrelaxation (SOR) methods for k-cyclic matrices, The relationship between the Jacobi and the successive overrelaxation (SOR) matrices of a k-cyclic matrix, Tensor Equivalents for Solution of Linear Systems: A Parallel Algorithm, The analysis of k-step iterative methods for linear systems from summability theory, Fourth-order optimal iterative schemes for convection-diffusion equation, A parallelizable SOR-like method: Systems with plus-shaped and linear spectra, Applying the JII, JII-SI, and CG methods to two classes of linear problems, On the convergence of monoparametrick-step iterative euler methods for the solution of linear systems, Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices, A Spectrum Enveloping Technique for Iterative Solution of Central Difference Approximations of Convection-Diffusion Equations, Arnoldi-Chebyshev approach for convection-diffusion computations, On the optimization of a class of second order iterative schemes, A second order stationary scheme for complex linear systems, Optimum second order stationary extrapolated iterative schemes, Stand-alone results and applications in multilinear algebra, Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s, Optimum sor methods for a class of linear systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II
• The Tchebychev iteration for nonsymmetric linear systems
• Iterationsverfahren und allgemeine Euler-Verfahren. (Iterative and general Euler methods)
• Iterative Methods with k-Part Splittings
• On Different Splittings and the Associated Iteration Methods