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Mathematics
Belgium
2026

D-Index & Metrics

Mathematics

D-Index
65
Citations
16824
World Ranking
390
National Ranking
7

Research.com Recognitions

  • 2026 - Research.com Mathematics in Belgium Leader Award
  • 2025 - Research.com Mathematics in Belgium Leader Award
  • 2023 - Research.com Mathematics in Belgium Leader Award
  • 2009 - SIAM Fellow For advances in numerical linear algebra and control and applications.

Overview

Paul Van Dooren is affiliated with the Université Catholique de Louvain in Belgium. Their research spans multiple fields including Mathematics, Computer Science, and Engineering, with significant contributions to several subfields such as Computational Theory and Mathematics, Numerical Analysis, Control and Systems Engineering, Statistical and Nonlinear Physics, and Applied Mathematics.

Their work primarily focuses on topics like Matrix Theory and Algorithms, Numerical methods for differential equations, Advanced Optimization Algorithms Research, Polynomial and algebraic computation, Advanced Topics in Algebra, Control and Stability of Dynamical Systems, and Complex Network Analysis Techniques.

Paul Van Dooren has authored numerous scientific papers published across various venues. Notable recent publications include:

  • "Linearizations of rational matrices," 2021, e-Archivo (Carlos III University of Madrid)
  • "Root vectors of polynomial and rational matrices: Theory and computation," 2022, Linear Algebra and its Applications
  • "Computing Gaussian quadrature rules with high relative accuracy," 2022, Numerical Algorithms
  • "Computing the Eigenvectors of Nonsymmetric Tridiagonal Matrices," 2021, Computational Mathematics and Mathematical Physics
  • "LMI stability test for multidimensional linear state-space models," 2021, Journal of Computational and Applied Mathematics

Their frequent co-authors consist of:

  • Froilán M. Dopico
  • Nicola Mastronardi
  • María C. Quintana
  • Vanni Noferini
  • Teresa Laudadio

Paul Van Dooren's publications frequently appear in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Matrix Analysis and Applications
  • Numerical Algorithms
  • Linear Algebra and its Applications
  • Journal of Computational and Applied Mathematics

Their research contributions cover a broad range of mathematical and computational topics, reflecting an interdisciplinary approach to problems in matrix analysis, numerical algorithms, and system control.

In 2009, Paul Van Dooren was recognized as a SIAM Fellow for advances in numerical linear algebra and control and applications.

Best Publications

  • Robust pole assignment in linear state feedback

    J Kautsky;Nancy Nichols;P M Van Dooren

  • A Measure of Similarity between Graph Vertices: Applications to Synonym Extraction and Web Searching

    Vincent D. Blondel;Anahí Gajardo;Maureen Heymans;Pierre Senellart

  • Geographical dispersal of mobile communication networks

    Renaud Lambiotte;Renaud Lambiotte;Vincent D. Blondel;Cristobald de Kerchove;Etienne Huens

  • The generalized eigenstructure problem in linear system theory

    Unknown

  • A Generalized Eigenvalue Approach for Solving Riccati Equations

    Paul M. Van Dooren

  • Narrow scope for resolution-limit-free community detection.

    V. A. Traag;P. Van Dooren;Y. Nesterov

  • Least squares support vector machine classifiers: a large scale algorithm

    J. Suykens;L. Lukas;Paul Van Dooren;J. Vandewalle

  • Exploring the Mobility of Mobile Phone Users

    Balázs Csanád Csáji;Balázs Csanád Csáji;Arnaud Browet;Vincent A. Traag;Jean-Charles Delvenne;Jean-Charles Delvenne

  • A collection of benchmark examples for model reduction of linear time invariant dynamical systems.

    Younes Chahlaoui;Paul Van Dooren

  • A rational Lanczos algorithm for model reduction

    K. Gallivan;E Grimme;Paul Van Dooren

  • Asymptotic Waveform Evaluation via a Lanczos Method

    Kyle Gallivan;Eric Grimme;Paul Van Dooren

  • Model Reduction of MIMO Systems via Tangential Interpolation

    K. Gallivan;A. Vandendorpe;P. Van Dooren

  • Periodic Schur decomposition: algorithms and applications

    Adam W. Bojanczyk;Gene H. Golub;Paul Van Dooren

  • Properties of the system matrix of a generalized state-space system

    P. Dooren;G. Verghese;T. Kailath

  • Model reduction of state space systems via an implicitly restarted Lanczos method

    E. J. Grimme;Danny C. Sorensen;Paul Van Dooren

  • A singular value decomposition updating algorithm for subspace tracking

    Marc Moonen;Paul van Dooren;Joos Vandewalle

  • H2-optimal model reduction of MIMO systems

    Paul Van Dooren;Kyle A. Gallivan;Pierre-Antoine Absil

  • Computation of zeros of linear multivariable systems

    Abbas Emami-Naeini;Paul M. Van Dooren

  • The eigenstructure of an arbitrary polynomial matrix : Computational aspects

    Paul Van Dooren;Patrick Dewilde

  • An improved algorithm for the computation of Kronecker's canonical form of a singular pencil

    T. Beelen;Paul Van Dooren

  • A measure of similarity between graph vertices

    Vincent Blondel;Anahi Gajardo;Maureen Heymans;Pierre Senellart

Frequent Co-Authors

Kyle A. Gallivan
Kyle A. Gallivan Florida State University
Pierre-Antoine Absil
Pierre-Antoine Absil Université Catholique de Louvain
Vincent D. Blondel
Vincent D. Blondel Université Catholique de Louvain
Marc Moonen
Marc Moonen KU Leuven
Yurii Nesterov
Yurii Nesterov Université Catholique de Louvain
Bo Kågström
Bo Kågström Umeå University
Gene H. Golub
Gene H. Golub Stanford University
Michel Verhaegen
Michel Verhaegen Delft University of Technology
Volker Mehrmann
Volker Mehrmann Technical University of Berlin

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