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Steffensen's method

In numerical analysis, Steffensen's method is an iterative method named after Johan Frederik Steffensen for numerical root-finding that is similar to the secant method and to Newton's method. Steffensen's method achieves a quadratic order of convergence without using derivatives, whereas the more familiar Newton's method also converges quadratically, but…

Generalization to Banach space, Simple description & Overview

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Overview

Simple description

Advantages and drawbacks

Derivation using Aitken's delta-squared process

Code example

  • Python Python (programming language)

Generalization to Banach space

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Steffensen's method

Nodes43
Edges42
Triples36
Avg. degree1.95
Density0.046512
Components1

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Steffensen's method

Top relations

related to Advantages and drawbacks · 9
Steffensen's method → Both, But, For, In, Newton's, Since, Steffensen's, The, This
related to Derivation using Aitken's delta-squared process · 7
Steffensen's method → Aitken's, If, MATLAB, Steffensen's, The, This, To
related to Generalization to Banach space · 7
Steffensen's method → Banach, Here, Many, Momentarily, Solutions, Steffensen's, To
related to Simple description · 7
Steffensen's method → Adjustment, For, Given, Near, Steffensen's, The, When
related to In Python · 3
Steffensen's method → Here, Python, Steffensen's
related to In Matlab · 2
Steffensen's method → Here, MATLAB
is a · 1
Steffensen's method → iterative method named after Johan Frederik Steffensen for numerical root-finding that is similar to the secant method and to Newton's method

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Important terminology

method displaystyle steffensen's function value step star convergence secant newton's functions banach requires formula derivative iteration space solution f' close

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Steffensen's methodis aiterative method named after Johan Frederik Steffensen for numerical root-finding that is similar to the secant method and to Newton's method0.90text
Steffensen's methodrelated to Advantages and drawbacksThe0.60section
Steffensen's methodrelated to Advantages and drawbacksSteffensen's0.60section
Steffensen's methodrelated to Advantages and drawbacksNewton's0.60section
Steffensen's methodrelated to Advantages and drawbacksIn0.60section
Steffensen's methodrelated to Advantages and drawbacksBut0.60section
Steffensen's methodrelated to Advantages and drawbacksThis0.60section
Steffensen's methodrelated to Advantages and drawbacksBoth0.60section
Steffensen's methodrelated to Advantages and drawbacksFor0.60section
Steffensen's methodrelated to Advantages and drawbacksSince0.60section
Steffensen's methodrelated to Derivation using Aitken's delta-squared processThe0.60section
Steffensen's methodrelated to Derivation using Aitken's delta-squared processSteffensen's0.60section

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