English

SPECTRA -- a Maple library for solving linear matrix inequalities in exact arithmetic

Optimization and Control 2020-02-12 v3 Symbolic Computation Algebraic Geometry

Abstract

This document describes our freely distributed Maple library {\sc spectra}, for Semidefinite Programming solved Exactly with Computational Tools of Real Algebra. It solves linear matrix inequalities with symbolic computation in exact arithmetic and it is targeted to small-size, possibly degenerate problems for which symbolic infeasibility or feasibility certificates are required.

Keywords

Cite

@article{arxiv.1611.01947,
  title  = {SPECTRA -- a Maple library for solving linear matrix inequalities in exact arithmetic},
  author = {Mohab Safey El Din and Didier Henrion and Simone Naldi and Mohab Safey and El Din},
  journal= {arXiv preprint arXiv:1611.01947},
  year   = {2020}
}

Comments

Significantly extended version

R2 v1 2026-06-22T16:43:52.792Z