Optimization by Numerical Methods: Solving Equations
4.1 Non-Linear Equations
MATLAB is able to implement a number of algorithms which provide numerical solutions to certain problems which play a central role in the solution of non-linear equations. Such algorithms are easy to construct in MATLAB and are stored as M-files. From previous chapters we know that an M-file is simply a sequence of MATLAB commands or functions that accept arguments and produces output. The M-files are created using the text editor.
4.1.1 The Fixed Point Method for Solving x = g(x)
The fixed point method solves the equation x = g(x), under certain conditions ...