MATLAB nonlinear numerical methods

Numerical Methods for Chemical Engineers Using Excel , VBA, and MATLAB Exercise 9.2 Nonlinear regression. 

One ideally suited software for engineering and numerical computations is MATL AET-7 1. This acronym stands for Matrix Laboratory . Rs operating units and principle are vectors and matrices. By their very nature, matrices express linear maps. And in all modern and practical numerical computations, the methods and algorithms generally rely on some form of linear approximation for nonlinear problems, equations, and phenomena. Nowadays all numerical computations are therefore carried out in linear, or in matrix and vector form. Thus MATLAB fits our task perfectly in the modern sense. 

This model leads to a set of nonlinear equations that can be solved numerically by using the multi-dimensional Newton method of Section 1.2. It is this more realistic and more accurate nonlinear case which we concentrate on in this book. We now present an efficient MATLAB program to solve this nonlinear and more general case. 

---