List of optimization software

Free and Open Source software

Name	License	Brief info
ALGENCAN	GPL	Fortran code for general nonlinear programming. Interfaces with AMPL, C/C++, CUTEr, Matlab, Python, Octave and R.
ASCEND	GPL	mathematical modelling system
COIN-OR SYMPHONY	GPL	integer programming
CUTEr	GPL	testing environment for optimization and linear algebra solvers
IPOPT	CPL	large scale nonlinear optimization for continuous system
L-BFGS	BSD	limited-memory quasi-Newton packages for large scale optimization
OpenOpt	BSD	free numerical optimization framework for solving NLP, LP, MILP, QP, etc. Can involve Automatic differentiation via FuncDesigner.
GLPK	GPL	GNU Linear Programming Kit
NLopt	MIT, LGPL	single API for many local/global algorithms for nonlinear programming (interfaces for C/C++/Fortran/Matlab/Octave/Python/Scheme)

This article is about mathematical optimization problems. If you are looking for PC cleanup programs, go elsewhere.

AIMMS — optimization modeling system, including GUI building facilities
AMPL — modelling language for large-scale linear, mixed integer and nonlinear optimization
CPLEX — integer, linear and quadratic programming
FortMP — integer, linear and quadratic programming
FortSP — stochastic programming
General Algebraic Modeling System
Inverse (program) — inverse and optimization problems
modeFRONTIER — multidisciplinary design optimization, for computer-aided engineering
IOSO — multidisciplinary design optimization, for computer-aided engineering
SNOPT — large-scale optimization problems
Unscrambler Optimizer product formulation and process optimization software
VisSim — a visual block diagram language for simulation and optimization of dynamical systems.

AIMMS — free for academic use.
AMPL — free student license.
APMonitor — free online interface.
Galahad library — free for academic use.
KNITRO — large-scale mathematical optimization problems. Freeware for non-commercial uses.
MINTO — integer programming solver using branch and bound algorithm. Freeware for personal use.