Global Optimization Toolbox Default Solvers and Problem Types

This topic identifies the types of problems handled by Global Optimization Toolbox solvers, and the default solver selected by solve or prob2struct for each type.

Problem Type	Default Solver
Linear Programming (LP)	linprog
Mixed-Integer Linear Programming (MILP)	intlinprog
Quadratic Programming (QP)	quadprog
Second-Order Cone Programming (SOCP)	coneprog
Linear Least Squares	lsqlin
Nonlinear Least Squares	lsqnonlin
Nonlinear Programming (NLP)	fminunc for problems with no constraints, otherwise fmincon
Mixed-Integer Nonlinear Programming (MINLP)	ga
Multiobjective	gamultiobj

Note

The call optimoptions(prob) creates options for the default solver of the problem type of prob.

In this table, a check mark means the solver is available for the problem type, and an x means the solver is not available.

Problem Type	LP	MILP	QP	SOCP	Linear Least Squares	Nonlinear Least Squares	NLP	MINLP
Solver
linprog		x	x	x	x	x	x	x
intlinprog			x	x	x	x	x	x
quadprog		x				x	x	x
coneprog		x	x		x	x	x	x
lsqlin	x	x	x	x		x	x	x
lsqnonneg	x	x	x	x		x	x	x
lsqnonlin	x	x	x	x			x	x
fminunc		x		x				x
fmincon		x						x
fminbnd	x	x	x	x				x
fminsearch	x	x	x	x				x
patternsearch		x						x
ga
particleswarm		x		x				x
simulannealbnd		x		x				x
surrogateopt
gamultiobj
paretosearch		x						x