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Regula falsi

In mathematics, the regula falsi, method of false position, or false position method is a family of algorithms used to solve linear equations and smooth nonlinear equations for a single unknown value. In its oldest known examples found in cuneiform and hieroglyphic writings, the method replaces simple trial and error with proportional correction of an…

History, Two historical types & Numerical analysis

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Two historical types

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Numerical analysis

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Regula falsi

Nodes70
Edges69
Triples35
Avg. degree1.97
Density0.028571
Components1

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Regula falsi

Top relations

related to ITP method · 8
Regula falsi → Calculate, Given, Interpolation Step, ITP, Perturb, Project, Projection Step, Truncation Step
related to Anderson–Björck algorithm · 7
Regula falsi → Anderson, Björck, But, Illinois, In, So, Suppose
related to Improvements in regula falsi · 7
Regula falsi → But, Newton's, Other, Sometimes, Successive-Substitutions, That, Though
related to Numerical analysis · 6
Regula falsi → However, Many, That, The, There, This
related to The regula falsi (false position) method · 2
Regula falsi → Essentially, The

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Important terminology

method false position regula root algorithm interval falsi one bisection solution sign two convergence double function displaystyle used value bracketing

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
commercialinstance ofIt was used for centuries to solve practical problems0.80text
juridical questionsinstance ofIt was used for centuries to solve practical problems0.80text
Newton's method or the secant method.The simplest variationinstance ofa guarantee not available with other root finding methods0.80text
called the bisection methodinstance ofa guarantee not available with other root finding methods0.80text
calculates the solution estimate as the midpoint of the bracketing intervalinstance ofa guarantee not available with other root finding methods0.80text
Regula falsirelated to Anderson–Björck algorithmSuppose0.60section
Regula falsirelated to Anderson–Björck algorithmIn0.60section
Regula falsirelated to Anderson–Björck algorithmSo0.60section
Regula falsirelated to Anderson–Björck algorithmIllinois0.60section
Regula falsirelated to Anderson–Björck algorithmBut0.60section
Regula falsirelated to Anderson–Björck algorithmAnderson0.60section
Regula falsirelated to Anderson–Björck algorithmBjörck0.60section

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