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About: Method of successive substitution     Goto   Sponge   NotDistinct   Permalink

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Type: softwareyago:WikicatModularCongruencesyago:WikicatNumberTheoreticAlgorithmsyago:Abstraction100002137yago:Act100030358yago:Activity100407535yago:Algorithm105847438yago:Attribute100024264yago:Characteristic104731497yago:Compatibility104712735yago:Congruity104714156yago:Event100029378yago:Harmony104713118yago:Procedure101023820yago:PsychologicalFeature100023100yago:Quality104723816yago:YagoPermanentlyLocatedEntityyago:Rule105846932 New Facet based on Instances of this Class

In modular arithmetic, the method of successive substitution is a method of solving problems of simultaneous congruences by using the definition of the congruence equation. It is commonly applied in cases where the conditions of the Chinese remainder theorem are not satisfied. There is also an unrelated numerical-analysis method of successive substitution, a randomized algorithm used for root finding, an application of fixed-point iteration. The method of successive substitution is also known as back substitution.