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gptkbp:instanceOf
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Numerical method
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gptkbp:alsoKnownAs
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gptkb:Newton-Raphson_method
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gptkbp:appliesTo
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gptkb:Mathematics
gptkb:Physics
Engineering
Computer science
Optimization
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gptkbp:category
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Root-finding algorithm
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gptkbp:convergesTo
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Quadratic (under suitable conditions)
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gptkbp:failsWhen
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Derivative is zero at root
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gptkbp:field
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gptkb:Calculus
Numerical analysis
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gptkbp:firstPublished
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gptkb:Raphson:_1690
Newton: 1671
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gptkbp:form
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x_{n+1} = x_n - f(x_n)/f'(x_n)
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gptkbp:generalizes
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gptkb:Secant_method
Multivariate functions
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https://www.w3.org/2000/01/rdf-schema#label
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Newton's Method
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gptkbp:limitation
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May diverge if initial guess is poor
Not guaranteed to find all roots
Requires differentiable function
Sensitive to initial guess
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gptkbp:namedAfter
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gptkb:Joseph_Raphson
gptkb:Isaac_Newton
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gptkbp:relatedTo
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gptkb:Halley's_method
gptkb:Secant_method
gptkb:Bisection_method
Fixed-point iteration
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gptkbp:requires
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Derivative of the function
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gptkbp:usedFor
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Finding roots of real-valued functions
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gptkbp:bfsParent
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gptkb:Nonlinear_Programming
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gptkbp:bfsLayer
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6
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