English

NLCertify: A Tool for Formal Nonlinear Optimization

Mathematical Software 2014-05-23 v1 Logic in Computer Science Optimization and Control

Abstract

NLCertify is a software package for handling formal certification of nonlinear inequalities involving transcendental multivariate functions. The tool exploits sparse semialgebraic optimization techniques with approximation methods for transcendental functions, as well as formal features. Given a box and a transcendental multivariate function as input, NLCertify provides OCaml libraries that produce nonnegativity certificates for the function over the box, which can be ultimately proved correct inside the Coq proof assistant.

Keywords

Cite

@article{arxiv.1405.5668,
  title  = {NLCertify: A Tool for Formal Nonlinear Optimization},
  author = {Victor Magron},
  journal= {arXiv preprint arXiv:1405.5668},
  year   = {2014}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-22T04:20:40.582Z