# A Graphically Enhanced Method for Computing Real Roots of Nonlinear Functions

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Mathematica's built-in function FindRoot is the preferred method for finding a zero of a nonlinear function . However, determining *all* the zeros of in a specified interval using FindRoot can be challenging, as this requires having good initial guesses for *all* the roots. In some cases, the initial guesses can be found by examining the asymptotic structure of as , but this is not always possible.

Contributed by: Housam Binous and Brian G. Higgins (February 2012)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

The Lorenz equations in chaotic dynamics are

,

,

,

.

The zeros of the function satisfy .

Reference

[1] S. Wagon, *Mathematica® in Action: Problem Solving through Visualization and Computation*, 3rd ed., Berlin: Springer-Verlag, 2010.

## Permanent Citation