Root-finding algorithm

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Iterative methods

Iteration Fixed-point iteration Order of convergence Householder's methods Halley's method

11 related topics

Overview

Numerical analysis Algorithm Zero of a function Continuous function Closed form

20 related topics

Bracketing methods

Intermediate value theorem Descartes' rule of signs Budan's theorem Sturm's theorem Real-root isolation

10 related topics

Roots of polynomials

The roots of polynomials Irrational Fields Rings Groups

5 related topics

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Overview

Numerical analysis
Algorithm
Zero of a function
Continuous function
Closed form Closed form expression
Real numbers Real number
Complex numbers Complex number
Floating-point Floating-point arithmetic
Intervals Interval (mathematics)
Disks Disk (mathematics)
Solving an equation Equation solving
Equation Equation (mathematics)
Iterative methods Iterative method
Sequence
Limit Limit of a sequence
Fixed point Fixed point (mathematics)
Computer algebra
Derivative
Polynomials Polynomial
Newton's method

Bracketing methods

Interpolation

Iterative methods

Iteration
Fixed-point iteration
Order of convergence
Householder's methods Householder's method
Halley's method
Finite difference
Golden ratio
Broyden's method
Steffensen's method
Inverse Inverse function
Inverse quadratic interpolation

Combinations of methods

Roots of polynomials

The roots of polynomials Polynomial root
Irrational Irrational number
Fields Field (mathematics)
Rings Ring (mathematics)
Groups Group (mathematics)

Finding roots in higher dimensions

Poincaré–Miranda theorem
Kronecker Leopold Kronecker
Topological degree Degree of a continuous mapping

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Nodes62

Edges61

Triples30

Avg. degree1.97

Density0.032258

Components1

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Root-finding algorithm

Top relations

see also · 11

Root-finding algorithm → About, Algorithm, Graphical, List, Newton's, Number, Quasi-Newton, Roots, Scientific LibraryGraeffe's, Software, Type

related to Bisection method · 6

Root-finding algorithm → Although, Let, Other, The, Then, Therefore

is a · 2

Root-finding algorithm → algorithm for finding zeros, bisection method

has method · 2

Root-finding algorithm → Although, The

Important terminology Word statistics

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Important terminology

function root method roots iteration root-finding algorithms methods polynomials one values numerical algorithm interval equation bisection secant newton's number convergence

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Root-finding algorithm	is a	algorithm for finding zeros	0.90	text
Root-finding algorithm	is a	bisection method	0.90	text
Descartes' rule of signs	instance of	in the case of polynomials there are other methods	0.80	text
Budan's theorem	instance of	in the case of polynomials there are other methods	0.80	text
Sturm's theorem for bounding or determining the number of roots in an interval	instance of	in the case of polynomials there are other methods	0.80	text
fields	instance of	as well as foundational structures in modern algebra	0.80	text
rings	instance of	as well as foundational structures in modern algebra	0.80	text
and groups.Despite being historically important	instance of	as well as foundational structures in modern algebra	0.80	text
finding the roots of higher degree polynomials no longer play a central role in mathematics	instance of	as well as foundational structures in modern algebra	0.80	text
computational mathematics	instance of	as well as foundational structures in modern algebra	0.80	text
with one major exception in computer algebra	instance of	as well as foundational structures in modern algebra	0.80	text
Root-finding algorithm	has method	Although	0.60	section

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Research this topic

Explore this topic

Iterative methods

Overview

Bracketing methods

Roots of polynomials

Key facts & relationships

Topics to explore

Overview

Bracketing methods

Interpolation

Iterative methods

Combinations of methods

Roots of polynomials

Finding roots in higher dimensions

Advanced semantic analysis

Map overview Semantic statistics

Root-finding algorithm

How this topic connects Entity context

Root-finding algorithm

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges