Solutions to Nonlinear Equations

Compute the solutions to a given continious, differentiable, nonlinear equation over the reals of the form f(x)=0f(x) = 0.

Parameters

  • ϵ\epsilon: (additive) tolerance error
  • a,ba, b: endpoint values, with b>ab>a
  • nmaxn_{max}: maximum number of iterations$

Filters

Computational Model

Randomization

Approximation

Algorithms Table

Displaying 4 of 4 algorithms

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Newton's method1669O(nmax)O(n_{max})O(1)O(1)
Bisection method-150O(nmax)O(n_{max})O(1)O(1)
Regula Falsi method-200O(nmax)O(n_{max})O(1)O(1)
Secant method-1400O(nmax)O(n_{max})O(1)O(1)

Reductions Table

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Other relevant algorithms

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