Newton Raphson And Root Finding Calculator

Newton Raphson And Root Finding: a planned Super Calculator tool. Covers function. Stub page: the tool, its formula and a worked example are not published yet.

Newton Raphson And Root Finding Calculator is a planned calculator in the mathematics section of Super Calculator, covering calculus.

What this calculator will compute

Inputs: function, initial guess or bracket, tolerance, maximum iterations and method.

Outputs: root, iteration table, convergence rate, residual and divergence warning.

Formula, recorded as scope and not yet verified against a primary source: Newton-Raphson iterates x_(n+1) = x_n - f(x_n)/f’(x_n), converging quadratically near a simple root. Bisection converges linearly but is guaranteed on a sign-changing bracket. The secant method avoids the derivative; Brent’s method combines bisection with interpolation for guaranteed and fast convergence.

Status

This page is a stub. The calculator is not built, no figure on this page has been verified against the authority that sets it, and nothing here should be used to make a decision. The page exists so that the site structure is complete and so that articles can link this concept on first mention.

The stub carries noindex, nofollow and is excluded from the sitemap.