# Alternatives with stronger convergence than coordinate-descent iterative LMI algorithms

@article{Simon2011AlternativesWS, title={Alternatives with stronger convergence than coordinate-descent iterative LMI algorithms}, author={Emile Simon and Vincent Wertz}, journal={arXiv: Optimization and Control}, year={2011} }

In this note we aim at putting more emphasis on the fact that trying to solve non-convex optimization problems with coordinate-descent iterative linear matrix inequality algorithms leads to suboptimal solutions, and put forward other optimization methods better equipped to deal with such problems (having theoretical convergence guarantees and/or being more efficient in practice). This fact, already outlined at several places in the literature, still appears to be disregarded by a sizable part…

## 3 Citations

### Alternatives for optimization in systems and control: convex and non-convex approaches

- Computer ScienceArXiv
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This presentation develops a short overview of main trends of optimization in systems and control, and outlines some new perspectives emerging today, where it is clear that convex and Linear Matrix Inequality methods have become the most common option.

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This investigation is motivated by the fact that this framework is currently largely dominated by LMIs and convex optimization approaches even when the underlying problems are non-convex, in which case other optimization alternatives than convexity-based methods may often be more adequate.

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Next generation of civil transport aircraft is likely to be a radical change in overall configuration compared to traditional tube-and-wing design. From a handling qualities perspective, current…

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