Modified Richardson iteration

http://dbpedia.org/resource/Modified_Richardson_iteration

Das Richardson-Verfahren ist in der numerischen Mathematik ein iterativer Algorithmus zur näherungsweisen Lösung von linearen Gleichungssystemen. Es wurde 1910 vom britischen Meteorologen Lewis Fry Richardson entwickelt und zählt wie das Gauß-Seidel-Verfahren zur Klasse der Splitting-Verfahren. rdf:langString
Modified Richardson iteration is an iterative method for solving a system of linear equations. Richardson iteration was proposed by Lewis Fry Richardson in his work dated 1910. It is similar to the Jacobi and Gauss–Seidel method. We seek the solution to a set of linear equations, expressed in matrix terms as The Richardson iteration is where is a scalar parameter that has to be chosen such that the sequence converges. It is easy to see that the method has the correct fixed points, because if it converges, then and has to approximate a solution of . rdf:langString
rdf:langString Richardson-Verfahren
rdf:langString Modified Richardson iteration
xsd:integer 8518299
xsd:integer 1009449721
xsd:date 2010-05-25
rdf:langString Michiel Hazewinkel
rdf:langString Vyacheslav Ivanovich
xsd:integer 1
rdf:langString Lebedev
rdf:langString Chebyshev iteration method
rdf:langString Das Richardson-Verfahren ist in der numerischen Mathematik ein iterativer Algorithmus zur näherungsweisen Lösung von linearen Gleichungssystemen. Es wurde 1910 vom britischen Meteorologen Lewis Fry Richardson entwickelt und zählt wie das Gauß-Seidel-Verfahren zur Klasse der Splitting-Verfahren.
rdf:langString Modified Richardson iteration is an iterative method for solving a system of linear equations. Richardson iteration was proposed by Lewis Fry Richardson in his work dated 1910. It is similar to the Jacobi and Gauss–Seidel method. We seek the solution to a set of linear equations, expressed in matrix terms as The Richardson iteration is where is a scalar parameter that has to be chosen such that the sequence converges. It is easy to see that the method has the correct fixed points, because if it converges, then and has to approximate a solution of .
rdf:langString Vyacheslav Ivanovich Lebedev
rdf:langString Michiel Hazewinkel
xsd:nonNegativeInteger 4193

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