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ceres-solver /ceres-solver

A large scale non-linear optimization library

c-plus-plus computer-vision structure-from-motion levenberg-marquardt conjugate-gradient bundle-adjustment numerical-optimization nonlinear-programming bfgs l-bfgs nonlinear-optimization-algorithms gauss-newton trust-region nonlinear-least-squares

UpdatedNov 9, 2025
C++

JuMP.jl

jump-dev /JuMP.jl

Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)

optimization julia linear-programming modeling-language mathematical-modelling semidefinite-programming nonlinear-programming mixed-integer-programming conic-programs mathematical-programming

UpdatedDec 15, 2025
Julia

Pyomo /pyomo

An object-oriented algebraic modeling language in Python for structured optimization problems.

python optimization linear-programming modeling-language nonlinear-programming mathematical-programming

UpdatedDec 10, 2025
Python

casadi /casadi

CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python or Matlab/Octave.

python c-plus-plus library modular optimization matlab mathematics nonlinear octave numerical-calculations scientific-computing derivatives code-generation parameter-estimation academic-project optimal-control symbolic-manipulation algorithmic-differentation nonlinear-programming

UpdatedDec 18, 2025
C++

SciML /ModelingToolkit.jl

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations

computer-algebra optimization julia ode symbolic dde differential-equations ordinary-differential-equations sde pde dae stochastic-differential-equations delay-differential-equations symbolic-computation nonlinear-programming equation-based scientific-machine-learning sciml symbolic-numerics acausal

UpdatedDec 18, 2025
Julia

ethz-adrl /towr

A light-weight, Eigen-based C++ library for trajectory optimization for legged robots.

robot computer-graphics eigen motion-planning ros trajectory-optimization locomotion nonlinear-programming collocation legged-robots biped quadruped physics-based-animation ipopt snopt xpp ifopt

UpdatedApr 17, 2023
C++

Uno

cvanaret /Uno

A highly customizable SQP & barrier solver for nonlinearly constrained optimization

cpp optimization constrained-optimization gradient-descent optimization-methods numerical-optimization nonlinear-programming-algorithms nonlinear-optimization optimization-algorithms nonlinear-programming quadratic-programming interior-point-method newton-method continuous-optimization sequential-quadratic-programming mathematical-programming mathematical-optimization nonconvex-optimization local-optimization optimization-solver

UpdatedDec 17, 2025
C++

OMLT

cog-imperial /OMLT

Represent trained machine learning models as Pyomo optimization formulations

python neural-network optimization cnn modeling-language pyomo mathematical-modelling nonlinear-optimization keras-neural-networks nonlinear-programming mixed-integer-programming mathematical-programming relu onnx gradient-boosted-trees mixed-integer-optimization

UpdatedApr 4, 2025
Python

jump-dev /NLopt.jl

A Julia interface to the NLopt nonlinear-optimization library

math optimization julia numerical-optimization nonlinear-optimization nonlinear-programming

UpdatedJul 31, 2025
Julia

MadNLP /MadNLP.jl

A solver for nonlinear programming with GPU support

optimization julia-language nonlinear-programming

UpdatedDec 17, 2025
Julia

llnl /hiop

HPC solver for nonlinear optimization problems

hpc optimization solver mpi cuda constrained-optimization nonlinear-programming-algorithms nonlinear-optimization nonlinear-programming interior-point-method rocm bfgs parallel-programming quasi-newton gpu-support math-physics radiuss acopf nonsmooth-optimization interior-point-optimizer

UpdatedDec 5, 2025
C++

JuliaSmoothOptimizers /NLPModels.jl

Data Structures for Optimization Models

optimization julia julia-language nonlinear-optimization nonlinear-programming nlpmodels

UpdatedDec 11, 2025
Julia

clarkzinzow /Nonlinear-Optimization-Algorithms

MATLAB implementations of a variety of nonlinear programming algorithms.

algorithm newton optimization matlab nonlinear line-search conjugate-gradient nonlinear-programming-algorithms nonlinear-optimization optimization-algorithms nonlinear-programming conjugate-gradient-descent wolfe newtons-method bfgs nonlinear-optimization-algorithms matlab-implementations dogleg-method gauss-newton-method

UpdatedNov 13, 2020
MATLAB

jump-dev /Ipopt.jl

A Julia interface to the Ipopt nonlinear solver

julia nonlinear-programming jump-jl

UpdatedDec 13, 2025
Julia

JuliaFirstOrder /ProximalAlgorithms.jl

Proximal algorithms for nonsmooth optimization in Julia

machine-learning optimization julia admm optimal-control proximal-algorithms proximal-operators numerical-optimization optimization-algorithms nonlinear-programming nonsmooth-optimization proximal-gradient-method

UpdatedMay 24, 2025
Julia

JuliaFirstOrder /ProximalOperators.jl

Proximal operators for nonsmooth optimization in Julia

optimization julia julia-language admm proximal-algorithms proximal-operators prox numerical-optimization nonlinear-programming first-order-methods nonsmooth-optimization

UpdatedOct 27, 2023
Julia

JuliaNonconvex /Nonconvex.jl

Toolbox for gradient-based and derivative-free non-convex constrained optimization with continuous and/or discrete variables.

optimization automatic-differentiation evolutionary-algorithms global-optimization black-box-optimization semidefinite-programming bayesian-optimization nonlinear-optimization nonlinear-programming metaheuristics discrete-optimization derivative-free-optimization method-of-moving-asymptotes implicit-differentiation gradient-based-optimisation augmented-lagrangian-method interior-point-optimizer surrogate-assisted-optimization mixed-integer-nonlinear-programming

UpdatedJan 23, 2024
Julia

david-m-rosen /Optimization

A set of lightweight header-only template functions implementing commonly-used optimization methods on Riemannian manifolds and convex spaces.

optimization nonlinear-programming convex-optimization riemannian-optimization

UpdatedNov 14, 2023
C++

GAMS-dev /gamspy

Python-based algebraic modeling interface to GAMS

python machine-learning optimization linear-programming modeling-language nonlinear-programming quadratic-programming gams mathematical-programming

UpdatedDec 18, 2025
Python

wujianjack /optimizationmodels

Optimization models using various solvers

ampl gurobi nonlinear-programming integer-programming benders-decomposition column-generation lagrangian-relaxation dantzig-wolfe-decomposition lindoapi

UpdatedJul 27, 2017
C++

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