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- Relaxation_(iterative_method) abstract "In numerical mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems.Relaxation methods were developed for solving large sparse linear systems, which arose as finite-difference discretizations of differential equations. They are also used for the solution of linear equations for linear least-squares problems and also for systems of linear inequalities, such as those arising in linear programming. They have also been developed for solving nonlinear systems of equations.Relaxation methods are important especially in the solution of linear systems used to model elliptic partial differential equations, such as Laplace's equation and its generalization, Poisson's equation. These equations describe boundary-value problems, in which the solution-function's values are specified on boundary of a domain; the problem is to compute a solution also on its interior. Relaxation methods are used to solve the linear equations resulting from a discretization of the differential equation, for example by finite differences.These iterative methods of relaxation should not be confused with \"relaxations\" in mathematical optimization, which approximate a difficult problem by a simpler problem, whose \"relaxed\" solution provides information about the solution of the original problem.".
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- Relaxation_(iterative_method) wikiPageWikiLink Approximation_theory.
- Relaxation_(iterative_method) wikiPageWikiLink Boundary_value_problem.
- Relaxation_(iterative_method) wikiPageWikiLink Category:Iterative_methods.
- Relaxation_(iterative_method) wikiPageWikiLink Category:Numerical_linear_algebra.
- Relaxation_(iterative_method) wikiPageWikiLink Category:Relaxation_(iterative_methods).
- Relaxation_(iterative_method) wikiPageWikiLink David_M._Young,_Jr..
- Relaxation_(iterative_method) wikiPageWikiLink Differential_equation.
- Relaxation_(iterative_method) wikiPageWikiLink Discretization.
- Relaxation_(iterative_method) wikiPageWikiLink Elliptic_partial_differential_equation.
- Relaxation_(iterative_method) wikiPageWikiLink Finite_difference.
- Relaxation_(iterative_method) wikiPageWikiLink Gauss–Seidel_method.
- Relaxation_(iterative_method) wikiPageWikiLink Interpolation.
- Relaxation_(iterative_method) wikiPageWikiLink Iterative_method.
- Relaxation_(iterative_method) wikiPageWikiLink Jacobi_method.
- Relaxation_(iterative_method) wikiPageWikiLink Laplaces_equation.
- Relaxation_(iterative_method) wikiPageWikiLink Linear_least_squares.
- Relaxation_(iterative_method) wikiPageWikiLink Linear_programming.
- Relaxation_(iterative_method) wikiPageWikiLink Linear_system.
- Relaxation_(iterative_method) wikiPageWikiLink Mathematical_optimization.
- Relaxation_(iterative_method) wikiPageWikiLink Multigrid_method.
- Relaxation_(iterative_method) wikiPageWikiLink Numerical_analysis.
- Relaxation_(iterative_method) wikiPageWikiLink Poissons_equation.
- Relaxation_(iterative_method) wikiPageWikiLink Preconditioner.
- Relaxation_(iterative_method) wikiPageWikiLink Relaxation_(approximation).
- Relaxation_(iterative_method) wikiPageWikiLink Richard_S._Varga.
- Relaxation_(iterative_method) wikiPageWikiLink Simultaneous_equations.
- Relaxation_(iterative_method) wikiPageWikiLink Smoothing.
- Relaxation_(iterative_method) wikiPageWikiLink Sparse_matrix.
- Relaxation_(iterative_method) wikiPageWikiLink Successive_over-relaxation.
- Relaxation_(iterative_method) wikiPageWikiLink Yousef_Saad.
- Relaxation_(iterative_method) wikiPageWikiLinkText "Relaxation (iterative method)".
- Relaxation_(iterative_method) wikiPageWikiLinkText "relaxation algorithm".
- Relaxation_(iterative_method) wikiPageWikiLinkText "relaxation methods".
- Relaxation_(iterative_method) wikiPageWikiLinkText "relaxation".
- Relaxation_(iterative_method) wikiPageWikiLinkText "smoothing term".
- Relaxation_(iterative_method) wikiPageUsesTemplate Template:About.
- Relaxation_(iterative_method) wikiPageUsesTemplate Template:Cite_book.
- Relaxation_(iterative_method) subject Category:Iterative_methods.
- Relaxation_(iterative_method) subject Category:Numerical_linear_algebra.
- Relaxation_(iterative_method) subject Category:Relaxation_(iterative_methods).
- Relaxation_(iterative_method) hypernym Methods.
- Relaxation_(iterative_method) type Software.
- Relaxation_(iterative_method) type Concept.
- Relaxation_(iterative_method) comment "In numerical mathematics, relaxation methods are iterative methods for solving systems of equations, including nonlinear systems.Relaxation methods were developed for solving large sparse linear systems, which arose as finite-difference discretizations of differential equations. They are also used for the solution of linear equations for linear least-squares problems and also for systems of linear inequalities, such as those arising in linear programming.".
- Relaxation_(iterative_method) label "Relaxation (iterative method)".
- Relaxation_(iterative_method) sameAs Q2311872.
- Relaxation_(iterative_method) sameAs Splitting-Verfahren.
- Relaxation_(iterative_method) sameAs m.02wvqsz.
- Relaxation_(iterative_method) sameAs Rahatlatma_metodu.
- Relaxation_(iterative_method) sameAs Q2311872.
- Relaxation_(iterative_method) wasDerivedFrom Relaxation_(iterative_method)?oldid=665335576.
- Relaxation_(iterative_method) isPrimaryTopicOf Relaxation_(iterative_method).