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Newton's method
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algorithm for finding a zero of a function
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An illustration of Newton's method In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The most basic version starts with a real-valued function f, its derivative f′, and an initial guess x0 for a root of f. If f satisfies certain assumptions and the initial guess is close, then
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Connections
zero of a function
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monotonic function
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Isaac Newton
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Taylor series
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complex analysis
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tangent
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mathematical optimization
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neighborhood
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greedy algorithm
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methods of computing square roots
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