Optimization Toolbox

Problems Covered by the Toolbox

The tables below show the functions available for minimization, equation solving, and solving least squares or data fitting problems.

Note    The following tables list the types of problems in order of increasing complexity.

Table 1-1: Minimization 

Type	Notation	Function
Scalar Minimization	such that	fminbnd
Unconstrained Minimization		fminunc, fminsearch
Linear Programming	such that	linprog
Quadratic Programming	such that	quadprog
Constrained Minimization	such that	fmincon
Goal Attainment	such that	fgoalattain
Minimax	such that	fminimax
Semi-Infinite Minimization	such that	fseminf

Table 1-2: Equation Solving 

Type	Notation	Function
Linear Equations	, n equations, n variables	\ (slash)
Nonlinear Equation of One Variable		fzero
Nonlinear Equations	, n equations, n variables	fsolve

Table 1-3: Least Squares (Curve Fitting) 

Type	Notation	Function
Linear Least Squares	, m equations, n variables	\ (slash)
Nonnegative Linear Least Squares	such that	lsqnonneg
Constrained Linear Least Squares	such that	lsqlin
Nonlinear Least Squares	such that	lsqnonlin
Nonlinear Curve Fitting	such that	lsqcurvefit

Introduction

Using the Optimization Functions