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Horner's method

In mathematics and computer science, Horner's method (or Horner's scheme) is an algorithm for polynomial evaluation. It is named after William George Horner, although it is much older, attributed by Horner to Joseph-Louis Lagrange, and was discovered hundreds of years earlier by Chinese and Persian mathematicians. After the introduction of computers…

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Overview

Polynomial evaluation and long division

Polynomial root finding

Divided difference of a polynomial

History

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Horner's method

Nodes61
Edges60
Triples67
Avg. degree1.97
Density0.032787
Components1

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Horner's method

Top relations

related to history · 21
Horner's method → April, Arbogast, Charles Babbage, Continental, English, Fuller, Holdred, Horner, Horner's, John Bonneycastle's, July, Literary Journal, London, Paolo Ruffini, Part II, Philosophical Transactions, Royal Society, September, The, The Monthly Review
related to External links · 13
Horner's method → Archived, Chinese, EMS Press, Encyclopedia, Eric, Horner, Jin-Shao, Mathematics, More, PDF, Qiu, Retrieved, Weisstein
related to Example · 9
Horner's method → As, Consider, From, Horner's, Newton's, Next, The, This, Using Newton's
related to Polynomial root finding · 8
Horner's method → Given, Newton's, Now, Return, The, Using, Using Horner's, Using Newton's
related to Efficiency · 6
Horner's method → Alternatively, By, Evaluation, Horner's, If, The
related to Application to floating-point multiplication and division · 4
Horner's method → Horner's, In, One, Then
related to Divided difference of a polynomial · 4
Horner's method → At, Given, Horner's, This
has application · 2
Horner's method → Horner's, However

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Important terminology

displaystyle method polynomial horner's using algorithm division polynomials number zero begin multiplications evaluation left evaluated newton's cdots n-1 end additions

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Horner's methodhas applicationHorner's0.60section
Horner's methodhas applicationHowever0.60section
Horner's methodrelated to Application to floating-point multiplication and divisionHorner's0.60section
Horner's methodrelated to Application to floating-point multiplication and divisionOne0.60section
Horner's methodrelated to Application to floating-point multiplication and divisionThen0.60section
Horner's methodrelated to Application to floating-point multiplication and divisionIn0.60section
Horner's methodrelated to Divided difference of a polynomialHorner's0.60section
Horner's methodrelated to Divided difference of a polynomialGiven0.60section
Horner's methodrelated to Divided difference of a polynomialAt0.60section
Horner's methodrelated to Divided difference of a polynomialThis0.60section
Horner's methodrelated to EfficiencyEvaluation0.60section
Horner's methodrelated to EfficiencyThe0.60section

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