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单词 Horner’s rule
释义
Horner’s rule

Mathematics
  • A polynomial f(x) = a0 + a1x + a2x2 + … + an xn can be written as

    f(x)=a0+x(a1+x(a2+x(a3+x(an1+anx)))).

    Requiring n multiplications and n additions, this rearrangement is optimal. The method was widely used in the evaluation of polynomials before the advent of computers. When combined with Newton-Raphson to find roots, it is sometimes called the Horner-Newton method.


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