On the accuracy of the ellipsoid norm approximation of the joint spectral radius

By Vincent D. Blondel, Yurii E. Nesterov, J. Theys. 2005

73 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ef061f64a13477ad2973158bcce4bcce0e0b255e

How researchers see this paper

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In Computational Mechanics

1. Nicola Guglielmi
2. Ali Jadbabaie
3. Pablo A. Parrilo
4. Marino Zennaro
5. Martyn Marshall
6. Martin J. Wainwright
7. E.J. Candes
8. B. Recht

In Computational Theory and Mathematics

1. Ali Jadbabaie
2. Stefano Serra-Capizzano
3. Antonio Cicone
4. Marino Zennaro
5. Nicola Guglielmi
6. Pablo A. Parrilo
7. Stephen Prajna
8. Mung Chiang

In Control and Systems Engineering

1. Ali Jadbabaie
2. Pablo A. Parrilo
3. Marino Zennaro
4. Nicola Guglielmi
5. Stephen Prajna
6. Monique Laurent
7. Antonis Papachristodoulou
8. Graziano Chesi

Citations in the corpus

• Finiteness property of pairs of 2× 2 sign-matrices via real extremal polytope norms (2010, background): “Lately, further approaches for the appro ximation of the joint spectral radius have been considered (see for example [3, 4 ] and [18]).”
• Approximation of the joint spectral radius using sum of squares (2007, background): “For any ǫ > 0 , there exists a norm · in R n (denoted as JSR norm hereafter) such that The theorem appears in this form, for instance, in Proposition 4 of [BNT05].”