Paul Van Dooren

According to our database1, Paul Van Dooren authored at least 113 papers between 1982 and 2020.

Collaborative distances:


IEEE Fellow

IEEE Fellow 2006, "For contributions to numerical methods in systems and control.".



In proceedings 
PhD thesis 


Online presence:



Optimal Robustness of Port-Hamiltonian Systems.
SIAM J. Matrix Anal. Appl., 2020

Identification of port-Hamiltonian systems from frequency response data.
Syst. Control. Lett., 2020

Swapping 2 × 2 blocks in the Schur and generalized Schur form.
J. Comput. Appl. Math., 2020

Optimal robustness of passive discrete-time systems.
IMA J. Math. Control. Inf., 2020

Geometry of Matrix Polynomial Spaces.
Found. Comput. Math., 2020

Block Full Rank Linearizations of Rational Matrices.
CoRR, 2020

Analysis of the Neighborhood Pattern Similarity Measure for the Role Extraction Problem.
CoRR, 2020

Community Detection by a Riemannian Projected Proximal Gradient Method.
CoRR, 2020

Diagonal scalings for the eigenstructure of arbitrary pencils.
CoRR, 2020

Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems.
CoRR, 2020

Structured backward error analysis of linearized structured polynomial eigenvalue problems.
Math. Comput., 2019

Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems.
CoRR, 2019

Robust port-Hamiltonian representations of passive systems.
Autom., 2019

The QR Steps with Perfect Shifts.
SIAM J. Matrix Anal. Appl., 2018

Block Kronecker linearizations of matrix polynomials and their backward errors.
Numerische Mathematik, 2018

The Generalized Schur Algorithm and Some Applications.
Axioms, 2018

Calculating the H∞ norm of a fractional system given in state-space form.
Appl. Math. Lett., 2018

Sparse Matrix Factorizations for Fast Linear Solvers with Application to Laplacian Systems.
SIAM J. Matrix Anal. Appl., 2017

A Framework for Structured Linearizations of Matrix Polynomials in Various Bases.
SIAM J. Matrix Anal. Appl., 2017

Computing the Jordan Structure of an Eigenvalue.
SIAM J. Matrix Anal. Appl., 2017

A parallel implementation of the Synchronised Louvain method.
CoRR, 2017

Role model detection using low rank similarity matrix.
CoRR, 2017

Backward Error Analysis of Polynomial Eigenvalue Problems Solved by Linearization.
SIAM J. Matrix Anal. Appl., 2016

Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications.
J. Comput. Appl. Math., 2016

A Riemannian rank-adaptive method for low-rank optimization.
Neurocomputing, 2016

Basic Numerical Methods and Software for Computer-aided Control Systems Design.
Proceedings of the Encyclopedia of Systems and Control, 2015

Matrix Polynomials with Completely Prescribed Eigenstructure.
SIAM J. Matrix Anal. Appl., 2015

Computing the regularization of a linear differential-algebraic system.
Syst. Control. Lett., 2015

Creating a nilpotent pencil via deadbeat.
Int. J. Control, 2015

Spectral gap of Markov chains on a cycle.
Proceedings of the 14th European Control Conference, 2015

Rank-constrained optimization: a Riemannian manifold approach.
Proceedings of the 23rd European Symposium on Artificial Neural Networks, 2015

Calculating the H<sub>INFINITY</sub>-norm Using the Implicit Determinant Method.
SIAM J. Matrix Anal. Appl., 2014

Introduction to the special issue.
J. Comput. Appl. Math., 2014

Revisiting the stability of computing the roots of a quadratic polynomial.
CoRR, 2014

The Antitriangular Factorization of Symmetric Matrices.
SIAM J. Matrix Anal. Appl., 2013

Jacobi Algorithm for the Best Low Multilinear Rank Approximation of Symmetric Tensors.
SIAM J. Matrix Anal. Appl., 2013

On the stability of 2D state-space models.
Numer. Linear Algebra Appl., 2013

Significant Scales in Community Structure.
CoRR, 2013

Low-rank Similarity Measure for Role Model Extraction.
CoRR, 2013

Fast community detection using local neighbourhood search.
CoRR, 2013

Nearest stable system using successive convex approximations.
Autom., 2013

Recursive approximation of the dominant eigenspace of an indefinite matrix.
J. Comput. Appl. Math., 2012

Exploring the Mobility of Mobile Phone Users
CoRR, 2012

Dynamical Models Explaining Social Balance and Evolution of Cooperation
CoRR, 2012

Extracting spatial information from networks with low-order eigenvectors
CoRR, 2011

Narrow scope for resolution-free community detection
CoRR, 2011

Community Detection for Hierarchical Image Segmentation.
Proceedings of the Combinatorial Image Analysis - 14th International Workshop, 2011

Indirect reciprocity through gossiping can lead to cooperative clusters.
Proceedings of the 2011 IEEE Symposium on Artificial Life, 2011

A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components.
SIAM J. Matrix Anal. Appl., 2010

Iterative Filtering in Reputation Systems.
SIAM J. Matrix Anal. Appl., 2010

<i>H</i><sub>2</sub>-Optimal Model Reduction with Higher-Order Poles.
SIAM J. Matrix Anal. Appl., 2010

Implicit double shift <i>QR</i>-algorithm for companion matrices.
Numerische Mathematik, 2010

Two-sided Grassmann-Rayleigh quotient iteration.
Numerische Mathematik, 2010

Using semiseparable matrices to compute the SVD of a general matrix product/quotient.
J. Comput. Appl. Math., 2010

Exponential Ranking: Taking into Account Negative Links.
Proceedings of the Social Informatics - Second International Conference, 2010

An efficient particle filtering technique on the Grassmann manifold.
Proceedings of the IEEE International Conference on Acoustics, 2010

Elastic Morphing of 2D and 3D Objects on a Shape Manifold.
Proceedings of the Image Analysis and Recognition, 6th International Conference, 2009

Optimizing the Coupling Between Two Isometric Projections of Matrices.
SIAM J. Matrix Anal. Appl., 2008

Descent methods for Nonnegative Matrix Factorization
CoRR, 2008

H<sub>2</sub>-optimal model reduction of MIMO systems.
Appl. Math. Lett., 2008

The PageTrust Algorithm: How to rank web pages when negative links are allowed?
Proceedings of the SIAM International Conference on Data Mining, 2008

Numerical Linear Algebra in Signal Processing Applications.
EURASIP J. Adv. Signal Process., 2007

Iterative Filtering for a Dynamical Reputation System
CoRR, 2007

Maximizing PageRank via outlinks
CoRR, 2007

Graph matching with type constraints on nodes and edges.
Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

A Novel Scheme for Positive Real Balanced Truncation.
Proceedings of the American Control Conference, 2007

Balancing Regular Matrix Pencils.
SIAM J. Matrix Anal. Appl., 2006

A novel numerical method for exact model matching problem with stability.
Autom., 2006

Stability margins for generalized state space systems.
Appl. Math. Lett., 2006

On the Factorization of Hyperbolic and Unitary Transformations into Rotations.
SIAM J. Matrix Anal. Appl., 2005

On the pseudo-inverse of the Laplacian of a bipartite graph.
Appl. Math. Lett., 2005

A Measure of Similarity between Graph Vertices: Applications to Synonym Extraction and Web Searching.
SIAM Rev., 2004

Model Reduction of MIMO Systems via Tangential Interpolation.
SIAM J. Matrix Anal. Appl., 2004

Normwise Scaling of Second Order Polynomial Matrices.
SIAM J. Matrix Anal. Appl., 2004

Cubically Convergent Iterations for Invariant Subspace Computation.
SIAM J. Matrix Anal. Appl., 2004

A measure of similarity between graph vertices
CoRR, 2004

Model Reduction of Large-Scale Dynamical Systems.
Proceedings of the Computational Science, 2004

Identification of positive real models in subspace identification by using regularization.
IEEE Trans. Autom. Control., 2003

Optimization Problems over Positive Pseudopolynomial Matrices.
SIAM J. Matrix Anal. Appl., 2003

Recursive Calculation of Dominant Singular Subspaces.
SIAM J. Matrix Anal. Appl., 2003

Computing the zeros of periodic descriptor systems.
Syst. Control. Lett., 2003

New algorithms for the iterative refinement of estimates of invariant subspaces.
Future Gener. Comput. Syst., 2003

Similarity Matrices for Pairs of Graphs.
Proceedings of the Automata, Languages and Programming, 30th International Colloquium, 2003

Recursive low rank Hankel approximation and model reduction.
Proceedings of the 7th European Control Conference, 2003

Robust stability and stabilization for singular systems with state delay and parameter uncertainty.
IEEE Trans. Autom. Control., 2002

A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces.
SIAM Rev., 2002

Identification of stable models in subspace identification by using regularization.
IEEE Trans. Autom. Control., 2001

Convergence analysis of a Riccati-based stabilization method.
Proceedings of the 6th European Control Conference, 2001

Updating a Generalized URV Decomposition.
SIAM J. Matrix Anal. Appl., 2000

Computing the SVD of a General Matrix Product/Quotient.
SIAM J. Matrix Anal. Appl., 2000

A fast algorithm for the computation of an upper bound on the µ-norm.
Autom., 2000

On the Stability of the Generalized Schur Algorithm.
Proceedings of the Numerical Analysis and Its Applications, 2000

Periodic descriptor systems: solvability and conditionability.
IEEE Trans. Autom. Control., 1999

Sensitivity analysis of the Lanczos reduction.
Numer. Linear Algebra Appl., 1999

Rational approximations of pre-filtered transfer functions via the Lanczos algorithm.
Numer. Algorithms, 1999

Model reduction of state space systems via an implicitly restarted Lanczos method.
Numer. Algorithms, 1996

A rational Lanczos algorithm for model reduction.
Numer. Algorithms, 1996

Pole-zero representation of descriptor systems.
Autom., 1995

Computation of structural invariants of generalized state-space systems.
Autom., 1994

Control system toolbox: A. Grace, A. Laub, J. Little and C. Thompson.
Autom., 1994

On Solving Block Toeplitz Systems Using a Block Schur Algorithm.
Proceedings of the 1994 International Conference on Parallel Processing, 1994

Generalizations of the Singular Value and QR-Decompositions.
SIAM J. Matrix Anal. Appl., 1992

A Singular Value Decomposition Updating Algorithm for Subspace Tracking.
SIAM J. Matrix Anal. Appl., 1992

A note on 'Efficient numerically stabilized rank-one eigenstructure updating' [and reply].
IEEE Trans. Signal Process., 1991

A systolic algorithm for QSVD updating.
Signal Process., 1991

An accurate product SVD algorithm.
Signal Process., 1991

Jacobi-Type Algorithms for LDC and Cholesky Factorization.
J. Parallel Distributed Comput., 1991

Algorithm 675: Fortran subroutines for computing the square root covariance filter and square root information filter in dense or Hessenberg forms.
ACM Trans. Math. Softw., 1989

A systolic algorithm for Riccati and Lyapunov equations.
Math. Control. Signals Syst., 1989

Linear time-variable systems: Stability of reduced models.
Autom., 1984

On the role of the partial trigonometric moment problem in AR speech modelling.
Proceedings of the IEEE International Conference on Acoustics, 1983

Algorithm 590: DSUBSP and EXCHQZ: FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum.
ACM Trans. Math. Softw., 1982

Computation of zeros of linear multivariable systems.
Autom., 1982