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- Root-finding_algorithm abstract "A root-finding algorithm is a numerical method, or algorithm, for finding a value x such that f(x) = 0, for a given function f. Such an x is called a root of the function f.This article is concerned with finding scalar, real or complex roots, approximated as floating point numbers. Finding integer roots or exact algebraic roots are separate problems, whose algorithms have little in common with those discussed here. (See: Diophantine equation for integer roots)Finding a root of f(x) − g(x) = 0 is the same as solving the equation f(x) = g(x). Here, x is called the unknown in the equation. Conversely, any equation can take the canonical form f(x) = 0, so equation solving is the same thing as computing (or finding) a root of a function.Numerical root-finding methods use iteration, producing a sequence of numbers that hopefully converge towards a limit (the so-called "fixed point") which is a root. The first values of this series are initial guesses. The method computes subsequent values based on the old ones and the function f.The behaviour of root-finding algorithms is studied in numerical analysis. Algorithms perform best when they take advantage of known characteristics of the given function. Thus an algorithm to find isolated real roots of a low-degree polynomial in one variable may bear little resemblance to an algorithm for complex roots of a "black-box" function which is not even known to be differentiable. Questions include ability to separate close roots, robustness against failures of continuity and differentiability, reliability despite inevitable numerical errors, and rate of convergence.".
- Root-finding_algorithm wikiPageExternalLink pg=442.
- Root-finding_algorithm wikiPageExternalLink F1a1.
- Root-finding_algorithm wikiPageExternalLink id483609988?mt=8.
- Root-finding_algorithm wikiPageExternalLink FixedPoint.html.
- Root-finding_algorithm wikiPageExternalLink websolver.php.
- Root-finding_algorithm wikiPageID "153299".
- Root-finding_algorithm wikiPageRevisionID "606023127".
- Root-finding_algorithm hasPhotoCollection Root-finding_algorithm.
- Root-finding_algorithm subject Category:Root-finding_algorithms.
- Root-finding_algorithm type Abstraction100002137.
- Root-finding_algorithm type Act100030358.
- Root-finding_algorithm type Activity100407535.
- Root-finding_algorithm type Algorithm105847438.
- Root-finding_algorithm type Event100029378.
- Root-finding_algorithm type Procedure101023820.
- Root-finding_algorithm type PsychologicalFeature100023100.
- Root-finding_algorithm type Root-findingAlgorithms.
- Root-finding_algorithm type Rule105846932.
- Root-finding_algorithm type YagoPermanentlyLocatedEntity.
- Root-finding_algorithm comment "A root-finding algorithm is a numerical method, or algorithm, for finding a value x such that f(x) = 0, for a given function f. Such an x is called a root of the function f.This article is concerned with finding scalar, real or complex roots, approximated as floating point numbers. Finding integer roots or exact algebraic roots are separate problems, whose algorithms have little in common with those discussed here.".
- Root-finding_algorithm label "Algorithme de recherche d'un zéro d'une fonction".
- Root-finding_algorithm label "Calcolo di uno zero di una funzione".
- Root-finding_algorithm label "Resolución numérica de ecuaciones no lineales".
- Root-finding_algorithm label "Root-finding algorithm".
- Root-finding_algorithm label "Численное решение уравнений".
- Root-finding_algorithm label "求根アルゴリズム".
- Root-finding_algorithm sameAs Resolución_numérica_de_ecuaciones_no_lineales.
- Root-finding_algorithm sameAs Algorithme_de_recherche_d'un_zéro_d'une_fonction.
- Root-finding_algorithm sameAs Calcolo_di_uno_zero_di_una_funzione.
- Root-finding_algorithm sameAs 求根アルゴリズム.
- Root-finding_algorithm sameAs m.013_wb.
- Root-finding_algorithm sameAs Q1085860.
- Root-finding_algorithm sameAs Q1085860.
- Root-finding_algorithm sameAs Root-finding_algorithm.
- Root-finding_algorithm wasDerivedFrom Root-finding_algorithm?oldid=606023127.
- Root-finding_algorithm isPrimaryTopicOf Root-finding_algorithm.