TI-89 Jacobean Matrix Function version 1
(C) 2000 Bennett S. Kalafut


INSTALLATION:

This function may be installed to any folder on you TI-89.


OVERVIEW:

Given a system of homogenous (no 't' term), first-order ordinary differential equations, function "Jacobean" returns the Jacobean Matrix for the system of equations.


WHAT IS A JACOBEAN?
A Jacobean matrix is used to find the linear approximation of a system of differential equations.  Multiplying the Jacobean by a column vector of the variables involved (in order) yields the linear approximation.

This matrix can be used to predict the behavior of equilibrium points.  Calculate its value at the equilibrium point, and then compute the eigenvalues and eigenspaces.


SYNTAX:
jacobean(diffyqlist,varlist)
diffyqlist is a list of the differential equations of the system ({x',y',z',...})
varlist is a list of the variables.


CONTACT INFORMATION:

To report any bugs or to suggest any improvements, e-mail me at bkalafut@bigfoot.com


LICENSE:

You are licensed to freely distribute this (TI-89 Jacobean Matrix Function) product as long as this text file is distributed with it and the recipient of the product pays no fee.

You may include the code of this product into your own programs, provided that I am given credit for the authoring of that segment of code.

You may NOT
1) Charge a fee for the distribution of this product.
2) Include this product in any printed book of programs without my written permission.

Use of the product implies acceptance of these terms.