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optimization-library

Introduction

Repository for optimization studies and practices.

Description

This repository is dedicated to exploring, learning, and implementing various mathematical foundations of optimization techniques, including:

Optimization Type Description
QP (Quadratic Programming) type Optimization of quadratic objective function with linear constraints
IPOTP (Interior Point OPTimizer) type Software for large-scale nonlinear optimization of continuous systems

Quadratic Programming (QP) vs. Nonlinear Programming (NLP)

Aspect QP NLP
Cost Function Quadratic Quadratic
Constaints Linear Nonlinear (kinematics, friction)
Solver OSQP, qpOASES, etc. IPOPT, SNOPT
Computational Cost Low High

References

[1] S. Moura, "Chapter 2: Quadratic Programming," CE 191 — CEE Systems Analysis, University of California, Berkeley, 2014.

[2] "IPOPT," GitHub repository, [Online]. Available: https://github.com/coin-or/Ipopt. [Accessed: 23-Feb-2025].

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