<s>
|	O
nonlinear	B-Algorithm
optimization	I-Algorithm
framework	O
,	O
using	O
automatic	B-Algorithm
differentiation	I-Algorithm
.	O
</s>
<s>
|	O
testing	O
environment	O
for	O
optimization	O
and	O
linear	B-Language
algebra	I-Language
solvers	B-Application
.	O
</s>
<s>
|	O
software	O
package	O
featuring	O
a	O
high-level	O
programming	O
language	O
,	O
primarily	O
intended	O
for	O
numerical	O
computations	O
;	O
well	O
recognized	O
free	O
alternative	O
to	O
MATLAB	B-Language
.	O
</s>
<s>
|	O
parallel	O
deterministic	O
global	O
MINLP	O
solver	B-Application
.	O
</s>
<s>
is	O
a	O
full	O
version	O
of	O
the	O
solver	B-Application
that	O
is	O
free	O
to	O
use	O
for	O
any	O
purpose	O
.	O
</s>
<s>
|	O
dual	O
licensed	O
(	O
GPL/commercial	O
)	O
optimization	O
library	O
(	O
LP	B-Algorithm
,	O
QP	O
and	O
nonlinear	B-Algorithm
programming	I-Algorithm
problems	O
)	O
,	O
optionally	O
using	O
automatic	B-Algorithm
differentiation	I-Algorithm
.	O
</s>
<s>
Cross-language	O
:	O
C++	B-Language
,	O
C#	O
.	O
</s>
<s>
|	O
integer	B-Algorithm
programming	I-Algorithm
,	O
linear	B-Algorithm
programming	I-Algorithm
,	O
nonlinear	B-Algorithm
programming	I-Algorithm
.	O
</s>
<s>
|	O
unconstrained/box	O
-constrained	O
nonlinear/QP	O
optimization	O
library	O
written	O
in	O
C++	B-Language
.	O
</s>
<s>
|	O
machine	O
learning	O
and	O
optimization	O
of	O
mixed-integer	O
and	O
differential	O
algebraic	O
equations	O
in	O
Python	B-Language
.	O
</s>
<s>
|	O
GNU	B-Application
Linear	I-Application
Programming	I-Application
Kit	I-Application
with	O
C	B-Language
API	B-General_Concept
.	O
</s>
<s>
|	O
linear	B-Algorithm
programming	I-Algorithm
(	O
LP	B-Algorithm
)	O
,	O
mixed	O
integer	B-Algorithm
programming	I-Algorithm
(	O
MIP	O
)	O
,	O
and	O
convex	O
quadratic	O
programming	O
(	O
QP	O
)	O
.	O
</s>
<s>
|	O
large	O
scale	O
nonlinear	O
optimizer	O
for	O
continuous	O
systems	O
(	O
requires	O
gradient	O
)	O
,	O
C++	B-Language
(	O
formerly	O
Fortran	B-Application
and	O
C	B-Language
)	O
.	O
</s>
<s>
It	O
became	O
a	O
part	O
of	O
COIN-OR	B-Application
.	O
</s>
<s>
|	O
Multidisciplinary	O
Design	O
,	O
Analysis	O
,	O
and	O
Optimization	O
(	O
MDAO	O
)	O
framework	O
,	O
written	O
in	O
Python	B-Language
.	O
</s>
<s>
|	O
Java	B-Language
constraint	B-Application
solver	B-Application
with	O
construction	O
heuristics	O
and	O
metaheuristics	O
.	O
</s>
<s>
Integrates	O
with	O
Spring	O
Boot	O
and	O
Quarkus	B-Language
.	O
</s>
<s>
Runs	O
on	O
Kotlin	B-Language
and	O
Scala	B-Application
too	O
.	O
</s>
<s>
|	O
solver	B-Application
for	O
mixed	O
integer	B-Algorithm
programming	I-Algorithm
(	O
MIP	O
)	O
and	O
mixed	O
integer	O
nonlinear	B-Algorithm
programming	I-Algorithm
(	O
MINLP	O
)	O
.	O
</s>
<s>
|	O
general	O
numeric	O
package	O
for	O
Python	B-Language
,	O
with	O
some	O
support	O
for	O
optimization	O
.	O
</s>
<s>
AIMMS	B-Application
–	O
optimization	O
modeling	O
system	O
,	O
including	O
GUI	O
building	O
facilities	O
.	O
</s>
<s>
ALGLIB	B-Library
–	O
dual	O
licensed	O
(	O
GPL/commercial	O
)	O
constrained	O
quadratic	O
and	O
nonlinear	B-Algorithm
optimization	I-Algorithm
library	O
with	O
C++	B-Language
and	O
C#	O
interfaces	O
.	O
</s>
<s>
AMPL	B-Language
–	O
modelling	O
language	O
for	O
large-scale	O
linear	O
,	O
mixed	O
integer	O
and	O
nonlinear	B-Algorithm
optimization	I-Algorithm
.	O
</s>
<s>
ANTIGONE	B-Application
–	O
a	O
deterministic	O
global	O
optimization	O
MINLP	O
solver	B-Application
.	O
</s>
<s>
APMonitor	B-Application
–	O
modeling	O
language	O
and	O
optimization	O
suite	O
for	O
large-scale	O
,	O
nonlinear	O
,	O
mixed	O
integer	O
,	O
differential	O
and	O
algebraic	O
equations	O
with	O
interfaces	O
to	O
MATLAB	B-Language
,	O
Python	B-Language
,	O
and	O
Julia	B-Application
.	O
</s>
<s>
Artelys	B-Application
Knitro	I-Application
–	O
large	O
scale	O
nonlinear	B-Algorithm
optimization	I-Algorithm
for	O
continuous	O
and	O
mixed-integer	B-Algorithm
programming	I-Algorithm
.	O
</s>
<s>
ASTOS	B-Application
–	O
AeroSpace	O
Trajectory	O
Optimization	O
Software	O
for	O
launcher	O
,	O
re-entry	O
and	O
generic	O
aerospace	O
problems	O
.	O
</s>
<s>
BARON	B-Application
–	O
optimization	O
of	O
algebraic	O
nonlinear	O
and	O
mixed-integer	O
nonlinear	O
problems	O
.	O
</s>
<s>
COMSOL	B-Algorithm
Multiphysics	I-Algorithm
–	O
a	O
cross-platform	O
finite	B-Application
element	I-Application
analysis	I-Application
,	O
solver	B-Application
and	O
multiphysics	B-Algorithm
simulation	I-Algorithm
software	O
.	O
</s>
<s>
CPLEX	B-Application
–	O
solver	B-Application
for	O
linear	O
and	O
quadratic	O
programming	O
with	O
continuous	O
or	O
integer	O
variables	O
(	O
MIP	O
)	O
.	O
</s>
<s>
FEATool	B-Algorithm
Multiphysics	I-Algorithm
–	O
FEA	O
GUI	O
Toolbox	O
for	O
MATLAB	B-Language
.	O
</s>
<s>
FICO	B-Application
Xpress	I-Application
–	O
solver	B-Application
for	O
linear	O
and	O
quadratic	O
programming	O
with	O
continuous	O
or	O
integer	O
variables	O
(	O
MIP	O
)	O
.	O
</s>
<s>
FortMP	B-Application
–	O
linear	O
and	O
quadratic	O
programming	O
.	O
</s>
<s>
FortSP	B-Application
–	O
stochastic	O
programming	O
.	O
</s>
<s>
GAMS	B-Application
–	O
General	B-Application
Algebraic	I-Application
Modeling	I-Application
System	I-Application
.	O
</s>
<s>
:de:Gurobi	O
–	O
solver	B-Application
for	O
linear	O
and	O
quadratic	O
programming	O
with	O
continuous	O
or	O
integer	O
variables	O
(	O
MIP	O
)	O
.	O
</s>
<s>
IMSL	B-Library
Numerical	I-Library
Libraries	I-Library
–	O
linear	O
,	O
quadratic	O
,	O
nonlinear	O
,	O
and	O
sparse	O
QP	O
and	O
LP	B-Algorithm
optimization	O
algorithms	O
implemented	O
in	O
standard	O
programming	O
languages	O
C	B-Language
,	O
Java	B-Language
,	O
C#	O
.NET	O
,	O
Fortran	B-Application
,	O
and	O
Python	B-Language
.	O
</s>
<s>
IOSO	B-Algorithm
–	O
(	O
Indirect	O
Optimization	O
on	O
the	O
basis	O
of	O
Self-Organization	O
)	O
a	O
multiobjective	O
,	O
multidimensional	O
nonlinear	B-Algorithm
optimization	I-Algorithm
technology	O
.	O
</s>
<s>
Kimeme	B-Algorithm
–	O
an	O
open	O
platform	O
for	O
multi-objective	O
optimization	O
and	O
multidisciplinary	O
design	O
optimization	O
.	O
</s>
<s>
LINDO	B-Application
(	O
Linear	O
,	O
Interactive	O
,	O
and	O
Discrete	O
Optimizer	O
)	O
a	O
software	O
package	O
for	O
linear	B-Algorithm
programming	I-Algorithm
,	O
integer	B-Algorithm
programming	I-Algorithm
,	O
nonlinear	B-Algorithm
programming	I-Algorithm
,	O
stochastic	O
programming	O
,	O
and	O
global	O
optimization	O
.	O
</s>
<s>
Excel	O
add-in	O
performs	O
linear	O
,	O
integer	O
,	O
and	O
nonlinear	B-Algorithm
optimization	I-Algorithm
using	O
LINDO	B-Application
.	O
</s>
<s>
LIONsolver	B-Application
–	O
an	O
integrated	O
software	O
for	O
data	B-Application
mining	I-Application
,	O
analytics	O
,	O
modeling	O
Learning	O
and	O
Intelligent	O
OptimizatioN	O
and	O
reactive	B-Application
business	I-Application
intelligence	I-Application
approach	O
.	O
</s>
<s>
modeFRONTIER	B-Algorithm
–	O
an	O
integration	O
platform	O
for	O
multi-objective	O
and	O
multidisciplinary	O
optimization	O
,	O
which	O
provides	O
a	O
seamless	O
coupling	O
with	O
third	O
party	O
engineering	O
tools	O
,	O
enables	O
the	O
automation	O
of	O
the	O
design	O
simulation	O
process	O
,	O
and	O
facilitates	O
analytic	O
decision-making	O
.	O
</s>
<s>
Maple	B-Language
–	O
linear	O
,	O
quadratic	O
,	O
and	O
nonlinear	O
,	O
continuous	O
and	O
integer	O
optimization	O
.	O
</s>
<s>
MATLAB	B-Language
–	O
linear	O
,	O
integer	O
,	O
quadratic	O
,	O
and	O
nonlinear	O
problems	O
with	O
Optimization	B-Application
Toolbox	I-Application
;	O
multiple	O
maxima	O
,	O
multiple	O
minima	O
,	O
and	O
non-smooth	O
optimization	O
problems	O
;	O
estimation	O
and	O
optimization	O
of	O
model	O
parameters	O
.	O
</s>
<s>
MIDACO	B-Application
a	O
lightweight	O
software	O
tool	O
for	O
single	O
-	O
and	O
multi-objective	O
optimization	O
based	O
on	O
evolutionary	O
computing	O
.	O
</s>
<s>
Written	O
in	O
C/C	O
++	O
and	O
Fortran	B-Application
with	O
gateways	O
to	O
Excel	O
,	O
VBA	O
,	O
Java	B-Language
,	O
Python	B-Language
,	O
Matlab	B-Language
,	O
Octave	B-Language
,	O
R	O
,	O
C#	O
and	O
Julia	B-Application
.	O
</s>
<s>
Mathematica	B-Application
–	O
large-scale	O
multivariate	O
constrained	O
and	O
unconstrained	O
,	O
linear	O
,	O
quadratic	O
and	O
nonlinear	O
,	O
continuous	O
and	O
integer	O
optimization	O
.	O
</s>
<s>
ModelCenter	B-Application
–	O
a	O
graphical	O
environment	O
for	O
integration	O
,	O
automation	O
,	O
and	O
design	O
optimization	O
.	O
</s>
<s>
MOSEK	B-Application
–	O
linear	O
,	O
quadratic	O
,	O
conic	O
and	O
convex	O
nonlinear	O
,	O
continuous	O
and	O
integer	O
optimization	O
.	O
</s>
<s>
NMath	B-Language
–	O
linear	O
,	O
quadratic	O
and	O
nonlinear	B-Algorithm
programming	I-Algorithm
.	O
</s>
<s>
Octeract	B-Application
Engine	I-Application
–	O
a	O
deterministic	O
global	O
optimization	O
MINLP	O
solver	B-Application
.	O
</s>
<s>
Octeract	B-Application
Engine	I-Application
Community	O
is	O
free	O
to	O
use	O
,	O
and	O
paid	O
plans	O
exist	O
for	O
additional	O
features	O
.	O
</s>
<s>
OptimJ	B-Application
–	O
Java-based	O
modeling	O
language	O
.	O
</s>
<s>
Premium	O
Edition	O
includes	O
support	O
for	O
Mosek	B-Application
and	O
CPLEX	B-Application
solvers	B-Application
.	O
</s>
<s>
Optimus	B-Algorithm
platform	I-Algorithm
–	O
a	O
process	O
integration	O
and	O
design	O
optimization	O
platform	O
developed	O
by	O
Noesis	O
Solutions	O
.	O
</s>
<s>
optiSLang	B-Language
–	O
software	O
solutions	O
for	O
CAE-based	O
sensitivity	O
analysis	O
,	O
optimization	O
and	O
robustness	O
evaluation	O
.	O
</s>
<s>
OptiY	B-Algorithm
a	O
design	O
environment	O
providing	O
modern	O
optimization	O
strategies	O
and	O
state	O
of	O
the	O
art	O
probabilistic	O
algorithms	O
for	O
uncertainty	O
,	O
reliability	O
,	O
robustness	O
,	O
sensitivity	O
analysis	O
,	O
data-mining	B-Application
and	O
meta-modeling	O
.	O
</s>
<s>
PottersWheel	B-Application
–	O
parameter	O
estimation	O
in	O
ordinary	O
differential	O
equations	O
(	O
MATLAB	B-Language
toolbox	O
,	O
free	O
for	O
academic	O
use	O
)	O
.	O
</s>
<s>
pSeven	B-Algorithm
software	O
platform	O
for	O
automation	O
of	O
engineering	O
simulation	O
and	O
analysis	O
,	O
multidisciplinary	O
optimization	O
and	O
data	B-Application
mining	I-Application
,	O
developed	O
by	O
DATADVANCE	B-Algorithm
.	O
</s>
<s>
SAS	B-Language
–	O
a	O
software	O
suite	O
developed	O
by	O
SAS	B-Language
Institute	O
for	O
advanced	O
analytics	O
(	O
statistics	O
,	O
forecasting	O
,	O
machine	O
learning	O
,	O
optimization	O
,	O
etc	O
.	O
</s>
<s>
)	O
,	O
business	B-General_Concept
intelligence	I-General_Concept
,	O
customer	O
intelligence	O
,	O
data	O
management	O
,	O
risk	O
management	O
,	O
and	O
many	O
more	O
.	O
</s>
<s>
SmartDO	B-Algorithm
–	O
multidisciplinary	O
global	O
design	O
optimization	O
,	O
specialized	O
in	O
computer-aided	O
engineering	O
(	O
CAE	O
)	O
.	O
</s>
<s>
SNOPT	B-Application
–	O
large-scale	O
optimization	O
problems	O
.	O
</s>
<s>
TOMLAB	B-Application
–	O
supports	O
global	O
optimization	O
,	O
integer	B-Algorithm
programming	I-Algorithm
,	O
all	O
types	O
of	O
least	O
squares	O
,	O
linear	O
,	O
quadratic	O
and	O
unconstrained	O
programming	O
for	O
MATLAB	B-Language
.	O
</s>
<s>
TOMLAB	B-Application
supports	O
solvers	B-Application
like	O
CPLEX	B-Application
,	O
SNOPT	B-Application
,	O
KNITRO	B-Application
and	O
MIDACO	B-Application
.	O
</s>
<s>
VisSim	B-Application
–	O
a	O
visual	O
block	B-Application
diagram	I-Application
language	O
for	O
simulation	O
and	O
optimization	O
of	O
dynamical	O
systems	O
.	O
</s>
<s>
WORHP	B-Application
–	O
a	O
large-scale	O
sparse	O
solver	B-Application
for	O
continuous	O
nonlinear	B-Algorithm
optimization	I-Algorithm
.	O
</s>
<s>
APMonitor	B-Application
–	O
free	O
for	O
academic	O
and	O
commercial	O
use	O
alike	O
,	O
with	O
Julia	B-Application
,	O
Python	B-Language
and	O
MATLAB	B-Language
integrations	O
.	O
</s>
<s>
Couenne	B-Application
–	O
An	O
open	O
source	O
solver	B-Application
for	O
the	O
deterministic	O
global	O
optimization	O
of	O
MINLPs	O
licensed	O
under	O
the	O
Eclipse	B-License
Public	I-License
License	I-License
.	O
</s>
<s>
MIDACO	B-Application
–	O
a	O
software	O
package	O
for	O
numerical	O
optimization	O
based	O
on	O
evolutionary	O
computing	O
.	O
</s>
<s>
MINTO	B-Application
–	O
integer	B-Algorithm
programming	I-Algorithm
solver	B-Application
using	O
branch	O
and	O
bound	O
algorithm	O
;	O
freeware	O
for	O
personal	O
use	O
.	O
</s>
<s>
MOSEK	B-Application
–	O
a	O
large	O
scale	O
optimization	O
software	O
.	O
</s>
<s>
OptimJ	B-Application
–	O
Java-based	O
modeling	O
language	O
;	O
the	O
free	O
edition	O
includes	O
support	O
for	O
lp_solve	O
,	O
GLPK	B-Application
and	O
LP	B-Algorithm
or	O
MPS	B-Algorithm
file	O
formats	O
.	O
</s>
<s>
PottersWheel	B-Application
–	O
parameter	O
estimation	O
in	O
ordinary	O
differential	O
equations	O
(	O
free	O
MATLAB	B-Language
toolbox	O
for	O
academic	O
use	O
)	O
.	O
</s>
<s>
Pyomo	B-Application
collection	O
of	O
Python	B-Language
software	O
packages	O
for	O
formulating	O
optimization	O
models	O
.	O
</s>
