ABSTRACT

In this chapter, we first learn some elementary numerical techniques and the use of the fsolve

and fzero

commands from the MATLAB library to obtain the real roots (or zeros) of an arbitrary function. Then, we discuss the use of the MATLAB command

roots

for finding all roots of a polynomial. Following this, we consider the Golden Section method and the fmin

and

fmins

MATLAB commands for optimizing (finding the minimum or maximum value of a function) over an interval. Our discussions pertain exclusively to problems with one and two variables (input) and do not include the important problem of optimization with constraints.