Spline interpolation spldemo.m
Also see Software 
MATLAB program that demonstrates effects of the number and positions of interior knots.  
Zeros of functions zerodemo.m  MATLAB program that demonstrates the use of Newton's method to find a root of a polynomial.  
Nonlinear Systems of Equations  Illustrates the application of Newton's method.  
Optimization optdemo.m
Also see Software 
Demonstrates the use of optimization methods on the "banana"
(or Rosenbrock) function,
f(x,y) = 0.5(x  1)^{2} + 50*(y  x^{2})^{2} Choice between 6 differents methods, combined with 3 types of line search. 

Data fitting  Choice of parameters in a nonlinear model
of given data points. You can interactively choose the parameter values or you can call an optimizer that returns the optimal choice (in the least squares sense). 
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Last updated 3.7.2003