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- Vincent D. Blondel, AnahÃ Gajardo, Maureen Heymans, Pierre Senellart, Paul Van Dooren
- SIAM Review
- 2004

We introduce a concept of similarity between vertices of directed graphs. Let GA and GB be two directed graphs with, respectively, nA and nB vertices. We define an nB Ã—nA similarity matrix S whoseâ€¦ (More)

- Shengyuan Xu, Paul Van Dooren, Radu Åžtefan, James Lam
- IEEE Trans. Automat. Contr.
- 2002

This note considers the problems of robust stability and stabilization for uncertain continuous singular systems with state delay. The parametric uncertainty is assumed to be norm bounded. Theâ€¦ (More)

- Johan A. K. Suykens, Lukas Lukas, +4 authors Kardinaal Mercierlaan
- 1999

Support vector machines (SVM's) have been introduced in literature as a method for pattern recognition and function estimation, within the framework of statistical learning theory and structural riskâ€¦ (More)

Linear representations and linear dimension reduction techniques are very common in signal and image processing. Many such applications reduce to solving problems of stochastic optimizations orâ€¦ (More)

- Kyle A. Gallivan, G. Grimme, Paul Van Dooren
- Numerical Algorithms
- 1996

This paper presents a model reduction method for large-scale linear systems that is based on a Lanczos-type approach. A variant of the nonsymmetric Lanczos method, rational Lanczos, is shown to yieldâ€¦ (More)

- Hung-Yuan Fan, Wen-Wei Lin, Paul Van Dooren
- SIAM J. Matrix Analysis Applications
- 2004

We propose a minimax scaling procedure for second order polynomial matrices that aims to minimize the backward errors incurred in solving a particular linearized generalized eigenvalue problem. Weâ€¦ (More)

- Renaud Lambiotte, Vincent D. Blondel, +4 authors Paul Van Dooren
- 2008

In this paper, we analyze statistical properties of a communication network constructed from the records of amobile phone company. The network consists of 2.5million customers that have placedâ€¦ (More)

- E. J. Grimme, Danny C. Sorensen, Paul Van Dooren
- Numerical Algorithms
- 1996

The nonsymmetric Lanczos method has recently received significant attention as a model reduction technique for large-scale systems. Unfortunately, the Lanczos method may produce an unstable partialâ€¦ (More)

Large scale linear systems are often composed of subsystems that interconnect to each other. Instead of reducing the entire system without taking into account its structure, it makes sense to reduceâ€¦ (More)