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Iterative method

In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the i-th approximation (called an "iterate") is derived from the previous ones.

Methods of successive approximation, Linear systems & Overview

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Linear systems

Methods of successive approximation

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Iterative method

Nodes56
Edges55
Triples29
Avg. degree1.96
Density0.035714
Components1

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Iterative method

Top relations

related to history · 14
Iterative method → An, Chord, Cornelius Lanczos, Eduard Stiefel, Gauss, He, Jamshīd, Kāshī, Magnus Hestenes, Only, Sine, The, The Treatise, Young
related to External links · 7
Iterative method → Iterative Methods, Linear SystemsY, PWS, Saad, Solution, Sparse Linear Systems, Templates
related to Preconditioners · 3
Iterative method → GMRES, Krylov, The
related to Linear systems · 2
Iterative method → In, Krylov
is a · 1
Iterative method → mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems

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Important terminology

iterative methods method displaystyle linear system matrix given equations sequence stationary approximation solution called successive also iteration residual quad mathbf

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Iterative methodis amathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems0.90text
the generalized minimal residual methodinstance ofmethods0.80text
GMRESinstance ofPreconditionersThe approximating operator that appears in stationary iterative methods can also be incorporated in Krylov subspace methods0.80text
Iterative methodrelated to External linksTemplates0.60section
Iterative methodrelated to External linksSolution0.60section
Iterative methodrelated to External linksLinear SystemsY0.60section
Iterative methodrelated to External linksSaad0.60section
Iterative methodrelated to External linksIterative Methods0.60section
Iterative methodrelated to External linksSparse Linear Systems0.60section
Iterative methodrelated to External linksPWS0.60section
Iterative methodrelated to historyJamshīd0.60section
Iterative methodrelated to historyKāshī0.60section

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