# numanal

The numanal extension provides a number of primitives for finding the roots and minima of single variable equations, the minima of multi-variable equations, and the roots of systems of n equations in n variables.

Download numanal extension (numanal-v1.0.1.zip)

This extension assumes that functions can be passed to it in the form of NetLogo tasks (reporters), and therefore **it works only with NetLogo version 5**. Several of the primitives are written to use matrix algebra and so also require the Jama Matrix class of java methods for performing linear algebra. (See http://math.nist.gov/javanumerics/jama/.) The Jama-1.0.2.jar file, distributed with this package, must be placed in the same directory as the numanal.jar file. (The same Jama-1.0.2.jar file is also bundled with the matrix extension that comes with the standard NetLogo distribution.)

For single variable equations the primitives include the Brent algorithm for finding a minimum and the Brent algorithm for finding a root. For single equations in several variables the primitives include the simplex algorithm for finding the minimum. Finally, for systems of n equations in n unknowns, the primitives include the Newton and Broyden algorithms for finding the n-dimensional root. (Note that the simplex algorithm can also be used to find the n-dimensional root of a system of n equations, as described at the end of the documentation.)

Documentation for the extension is contained in the **NumAnal.pdf** file that is part of the download. At some point, it will be summarized here.