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https://orcid.org/0000-0003-4414-0083

Loraine is a MATLAB and Julia implementation of an interior point method algorithm for linear semidefinite optimization problems. The special feature of Loraine is the iterative solver for linear systems. This is to be used for problems with (very) low rank solution matrix. Standard (non-low-rank) problems and linear programs can be solved using the direct solver; then the user gets a standard IP method akin SDPT3.

MATLAB version of the code at github.com/kocvara/Loraine.m.

Julia version of the code (linked with Julia/JuMP) at github.com/kocvara/Loraine.jl.

POEMA (Polynomial Optimization, Efficiency through Moments and Algebra) is a Marie Skłodowska-Curie Innovative Training Network (2019-2023). Its goal is to train scientists at the interplay of algebra, geometry and computer science for polynomial optimization problems and to foster scientific and technological advances, stimulating interdisciplinary and intersectoriality knowledge exchange between algebraists, geometers, computer scientists and industrial actors facing real-life optimization problems.

The network partners are Inria, Sophia Antipolis; CNRS, LAAS, Toulouse; Sorbonne Universite, Paris; Artelys SA, Paris; NWO-I/CWI, Amsterdam; Univ. Tilburg; Univ. Konstanz; Univ. Erlangen; Univ. degli Studi di Firenze; Univ. of Birmingham; Univ. of Tromsoe.