SeDuMi is an add-on for MATLAB, which lets you solve optimization problems with linear,
quadratic and semidefiniteness constraints. It is possible to have complex valued data and …

This software package is a MATLAB implementation of infeasible path-following algorithms
for solving standard semidefinite programs (SDP). Mehrotra-type predictor-corrector variants …

This paper discusses computational experiments with linear optimization problems involving
semidefinite, quadratic, and linear cone constraints (SQLPs). Many test problems of this type …

Research on interior-point methods (IPMs) has dominated the field of mathematical
programming for the last two decades. Two contrasting approaches in the analysis and …

There is a large number of design choices to be made in the implementation of the primal-
dual interior point method for mixed semidefinite and second order cone optimization. This …

In this paper, we present a methodology for generating guaranteed passive time-domain
models of subsystems described by tabulated frequency-domain data obtained through …

This document describes a new release, version 3.0, of the software SDPT3. This code is
designed to solve conic programming problems whose constraint cone is a product of …

A number of important problems from system and control theory can be numerically solved
by reformulating them as convex optimization problems with linear matrix inequality (LMI) …

The similarity relations that are derived in this paper reduce to well-known results in the
special case of symmetric matrices. In particular, for two positive definite matrices X and Y …

In this article we deal with the classical problem of estimating the domain of attraction (DOA)
of autonomous dynamical systems. We propose a new LMI estimation method based on …