POLSYS - 2019 - Annual activity report

POLSYS

POLSYS - 2019

Project-Team Polsys

Team, Visitors, External Collaborators

Overall Objectives

Research Program

Introduction
Fundamental Algorithms and Structured Systems
Solving Systems over the Reals and Applications.
Low level implementation and Dedicated Algebraic Computation and Linear Algebra.
Solving Systems in Finite Fields, Applications in Cryptology and Algebraic Number Theory.

Highlights of the Year

New Software and Platforms

Epsilon
FGb
FGb Light
GBLA
HFEBoost
RAGlib
RealCertify
SLV
SPECTRA

New Results

Fundamental algorithms and structured polynomial systems
Solving systems over the reals and applications
Solving Systems in Finite Fields, Applications in Cryptology and Algebraic Number Theory.

Bilateral Contracts and Grants with Industry

Technological Transfer

Partnerships and Cooperations

Regional Initiatives
National Initiatives
European Initiatives

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries

Bibliography

Publications of the year

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Section: New Software and Platforms

SPECTRA

Semidefinite Programming solved Exactly with Computational Tools of Real Algebra

Keyword: Linear Matrix Inequalities

Functional Description: SPECTRA is a Maple library devoted to solving exactly Semi-Definite Programs. It can handle rank constraints on the solution. It is based on the FGb library for computing Gröbner bases and provides either certified numerical approximations of the solutions or exact representations thereof.

Contact: Mohab Safey El Din
URL: http://homepages.laas.fr/henrion/software/spectra/

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