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- Iterative_method abstract "In computational mathematics, an iterative method is a mathematical procedure that generates a sequence of improving approximate solutions for a class of problems. A specific implementation of an iterative method, including the termination criteria, is an algorithm of the iterative method. An iterative method is called convergent if the corresponding sequence converges for given initial approximations. A mathematically rigorous convergence analysis of an iterative method is usually performed; however, heuristic-based iterative methods are also common.In the problems of finding the root of an equation (or a solution of a system of equations), an iterative method uses an initial guess to generate successive approximations to a solution. In contrast, direct methods attempt to solve the problem by a finite sequence of operations. In the absence of rounding errors, direct methods would deliver an exact solution (like solving a linear system of equations Ax = b by Gaussian elimination). Iterative methods are often the only choice for nonlinear equations. However, iterative methods are often useful even for linear problems involving a large number of variables (sometimes of the order of millions), where direct methods would be prohibitively expensive (and in some cases impossible) even with the best available computing power.".
- Iterative_method wikiPageExternalLink books.html.
- Iterative_method wikiPageExternalLink Templates.html.
- Iterative_method wikiPageID "15237".
- Iterative_method wikiPageRevisionID "582915654".
- Iterative_method hasPhotoCollection Iterative_method.
- Iterative_method subject Category:Iterative_methods.
- Iterative_method subject Category:Numerical_analysis.
- Iterative_method type Ability105616246.
- Iterative_method type Abstraction100002137.
- Iterative_method type Cognition100023271.
- Iterative_method type IterativeMethods.
- Iterative_method type Know-how105616786.
- Iterative_method type Method105660268.
- Iterative_method type PsychologicalFeature100023100.
- Iterative_method comment "In computational mathematics, an iterative method is a mathematical procedure that generates a sequence of improving approximate solutions for a class of problems. A specific implementation of an iterative method, including the termination criteria, is an algorithm of the iterative method. An iterative method is called convergent if the corresponding sequence converges for given initial approximations.".
- Iterative_method label "Iterative method".
- Iterative_method label "Metodo iterativo".
- Iterative_method label "Méthode itérative".
- Iterative_method label "Método iterativo".
- Iterative_method label "Método iterativo".
- Iterative_method label "Метод итерации".
- Iterative_method label "طريقة تكرارية".
- Iterative_method label "反復法 (数値計算)".
- Iterative_method label "迭代法".
- Iterative_method sameAs Método_iterativo.
- Iterative_method sameAs Méthode_itérative.
- Iterative_method sameAs Metodo_iterativo.
- Iterative_method sameAs 反復法_(数値計算).
- Iterative_method sameAs Método_iterativo.
- Iterative_method sameAs m.03y0x.
- Iterative_method sameAs Q2321565.
- Iterative_method sameAs Q2321565.
- Iterative_method sameAs Iterative_method.
- Iterative_method wasDerivedFrom Iterative_method?oldid=582915654.
- Iterative_method isPrimaryTopicOf Iterative_method.