MATLAB Mathematics - SERC - Index of

4 Function Functions
Minimizing Functions and Finding Zeros
MATLAB provides a number of high-level function functions that perform
optimization-related tasks. This section describes the following topics:
• “Minimizing Functions of One Variable” on page 4-8
• “Minimizing Functions of Several Variables” on page 4-9
• “Fitting a Curve to Data” on page 4-10
• “Setting Minimization Options” on page 4-13
• “Output Functions” on page 4-14
• “Finding Zeros of Functions” on page 4-21
The MATLAB optimization functions are:
fminbnd
fminsearch
fzero
lsqnonneg
optimget
optimset
Minimize a function of one variable on a fixed interval
Minimize a function of several variables
Find zero of a function of one variable
Linear least squares with nonnegativity constraints
Get optimization options structure parameter values
Create or edit optimization options parameter structure
For more optimization capabilities, see the Optimization Toolbox.
Minimizing Functions of One Variable
Given a mathematical function of a single variable coded in an M-file, you can
use the fminbnd function to find a local minimizer of the function in a given
interval. For example, to find a minimum of the humps function in the range
(0.3, 1), use
x = fminbnd(@humps,0.3,1)
which returns
x =
0.6370
4-8