MICHAL KOČVARA    (Ko\v{c}vara in LaTeX, pronounce ko'tchvara)

Click to get a bigger picture Emeritus Professor in Mathematical Optimization
School of Mathematics
The University of Birmingham
Edgbaston
Birmingham B15 2TT
United Kingdom

E-mail: m.kocvara@bham.ac.uk
WWW: http://web.mat.bham.ac.uk/kocvara
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ORCID iD iconhttps://orcid.org/0000-0003-4414-0083

New software LORAINE

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. Loraine can also solve ill-conditioned SDP problems to very high precision by using extended precision arithmetic.

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.


PENLAB a free open source MATLAB toolbox for nonlinear optimization, linear and nonlinear semidefinite optimization and any combination of these.

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Michal Kočvara
November 6, 2026