Paul Van Dooren

SIAM J. Matrix Anal. Appl., March, 2024

Rational QZ steps with perfect shifts.

[BibT_eX]

[DOI]

Numer. Algorithms, March, 2024

On computing modified moments for half-range Hermite weights.

[BibT_eX]

[DOI]

Teresa Laudadio

Numer. Algorithms, March, 2024

Assigning Stationary Distributions to Sparse Stochastic Matrices.

[BibT_eX]

[DOI]

Nicolas Gillis

SIAM J. Matrix Anal. Appl., 2024

Para-Hermitian Rational Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2024

Parameterized Interpolation of Passive Systems.

[BibT_eX]

[DOI]

Peter Benner

Pawan Goyal

SIAM J. Matrix Anal. Appl., 2024

A Matlab package computing simultaneous Gaussian quadrature rules for multiple orthogonal polynomials.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2024

2023

Revisiting the Matrix Polynomial Greatest Common Divisor.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., September, 2023

Root-Max Problems, Hybrid Expansion-Contraction, and Quadratically Convergent Optimization of Passive Systems.

[BibT_eX]

[DOI]

Tim Mitchell

SIAM J. Matrix Anal. Appl., June, 2023

Computing Gaussian quadrature rules with high relative accuracy.

[BibT_eX]

[DOI]

Teresa Laudadio

Numer. Algorithms, January, 2023

Minimal rank factorizations of polynomial matrices.

[BibT_eX]

[DOI]

Andrii Dmytryshyn

CoRR, 2023

Computing a compact local Smith McMillan form.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Strongly Minimal Self-Conjugate Linearizations for Polynomial and Rational Matrices.

[BibT_eX]

[DOI]

María C. Quintana

SIAM J. Matrix Anal. Appl., September, 2022

Diagonal Scalings for the Eigenstructure of Arbitrary Pencils.

[BibT_eX]

[DOI]

María C. Quintana

SIAM J. Matrix Anal. Appl., 2022

Linearizations of matrix polynomials viewed as Rosenbrock's system matrices.

[BibT_eX]

[DOI]

CoRR, 2022

2021

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

[BibT_eX]

[DOI]

SIAM J. Math. Data Sci., 2021

Structured Backward Errors for Eigenvalues of Linear Port-Hamiltonian Descriptor Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2021

LMI stability test for multidimensional linear state-space models.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

On role extraction for digraphs via neighbourhood pattern similarity.

[BibT_eX]

[DOI]

Giovanni Barbarino

CoRR, 2021

On computing root polynomials and minimal bases of matrix pencils.

[BibT_eX]

[DOI]

CoRR, 2021

Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations.

[BibT_eX]

[DOI]

María C. Quintana

CoRR, 2021

2020

Optimal Robustness of Port-Hamiltonian Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2020

Identification of port-Hamiltonian systems from frequency response data.

[BibT_eX]

[DOI]

Peter Benner

Pawan Goyal

Syst. Control. Lett., 2020

Swapping 2 × 2 blocks in the Schur and generalized Schur form.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2020

Optimal robustness of passive discrete-time systems.

[BibT_eX]

[DOI]

IMA J. Math. Control. Inf., 2020

Geometry of Matrix Polynomial Spaces.

[BibT_eX]

[DOI]

Found. Comput. Math., 2020

Block Full Rank Linearizations of Rational Matrices.

[BibT_eX]

[DOI]

CoRR, 2020

Community Detection by a Riemannian Projected Proximal Gradient Method.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Structured backward error analysis of linearized structured polynomial eigenvalue problems.

[BibT_eX]

[DOI]

Javier Pérez

Math. Comput., 2019

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

[BibT_eX]

[DOI]

CoRR, 2019

Robust port-Hamiltonian representations of passive systems.

[BibT_eX]

[DOI]

Christopher A. Beattie

Autom., 2019

2018

The QR Steps with Perfect Shifts.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2018

Block Kronecker linearizations of matrix polynomials and their backward errors.

[BibT_eX]

[DOI]

Numerische Mathematik, 2018

The Generalized Schur Algorithm and Some Applications.

[BibT_eX]

[DOI]

Teresa Laudadio

Axioms, 2018

Calculating the H∞ norm of a fractional system given in state-space form.

[BibT_eX]

[DOI]

Djilali Bouagada

Samuel Melchior

Appl. Math. Lett., 2018

2017

Sparse Matrix Factorizations for Fast Linear Solvers with Application to Laplacian Systems.

[BibT_eX]

[DOI]

Michael T. Schaub

Maguy Trefois

Jean-Charles Delvenne

SIAM J. Matrix Anal. Appl., 2017

A Framework for Structured Linearizations of Matrix Polynomials in Various Bases.

[BibT_eX]

[DOI]

Leonardo Robol

Raf Vandebril

SIAM J. Matrix Anal. Appl., 2017

Computing the Jordan Structure of an Eigenvalue.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

A parallel implementation of the Synchronised Louvain method.

[BibT_eX]

[DOI]

Benjamin Chiêm

Andine Havelange

CoRR, 2017

Role model detection using low rank similarity matrix.

[BibT_eX]

[DOI]

Sibo Cheng

Adissa Laurent

CoRR, 2017

2016

Backward Error Analysis of Polynomial Eigenvalue Problems Solved by Linearization.

[BibT_eX]

[DOI]

Piers W. Lawrence

Marc Van Barel

SIAM J. Matrix Anal. Appl., 2016

Extended Lanczos bidiagonalization algorithm for low rank approximation and its applications.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

A Riemannian rank-adaptive method for low-rank optimization.

[BibT_eX]

[DOI]

Neurocomputing, 2016

2015

Basic Numerical Methods and Software for Computer-aided Control Systems Design.

[BibT_eX]

[DOI]

Proceedings of the Encyclopedia of Systems and Control, 2015

Matrix Polynomials with Completely Prescribed Eigenstructure.

[BibT_eX]

[DOI]

Fernando de Terán

SIAM J. Matrix Anal. Appl., 2015

Computing the regularization of a linear differential-algebraic system.

[BibT_eX]

[DOI]

Thomas Berger

Syst. Control. Lett., 2015

Creating a nilpotent pencil via deadbeat.

[BibT_eX]

[DOI]

Int. J. Control, 2015

Spectral gap of Markov chains on a cycle.

[BibT_eX]

[DOI]

Balázs Gerencsér

Julien M. Hendrickx

Proceedings of the 14th European Control Conference, 2015

Rank-constrained optimization: a Riemannian manifold approach.

[BibT_eX]

[DOI]

Proceedings of the 23rd European Symposium on Artificial Neural Networks, 2015

2014

Calculating the HINFINITY-norm Using the Implicit Determinant Method.

[BibT_eX]

[DOI]

Melina A. Freitag

Alastair Spence

SIAM J. Matrix Anal. Appl., 2014

Introduction to the special issue.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2014

Revisiting the stability of computing the roots of a quadratic polynomial.

[BibT_eX]

[DOI]

CoRR, 2014

2013

The Antitriangular Factorization of Symmetric Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2013

Jacobi Algorithm for the Best Low Multilinear Rank Approximation of Symmetric Tensors.

[BibT_eX]

[DOI]

Mariya Ishteva

SIAM J. Matrix Anal. Appl., 2013

On the stability of 2D state-space models.

[BibT_eX]

[DOI]

Djilali Bouagada

Numer. Linear Algebra Appl., 2013

Significant Scales in Community Structure.

[BibT_eX]

[DOI]

Gautier Krings

CoRR, 2013

Low-rank Similarity Measure for Role Model Extraction.

[BibT_eX]

[DOI]

CoRR, 2013

Fast community detection using local neighbourhood search.

[BibT_eX]

[DOI]

Francois-Xavier Orbandexivry

CoRR, 2013

Nearest stable system using successive convex approximations.

[BibT_eX]

[DOI]

Autom., 2013

2012

Recursive approximation of the dominant eigenspace of an indefinite matrix.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2012

Exploring the Mobility of Mobile Phone Users

[BibT_eX]

[DOI]

Balázs Csanád Csáji

Jean-Charles Delvenne

CoRR, 2012

Dynamical Models Explaining Social Balance and Evolution of Cooperation

[BibT_eX]

[DOI]

Patrick De Leenheer

CoRR, 2012

2011

Extracting spatial information from networks with low-order eigenvectors

[BibT_eX]

[DOI]

Mihai Cucuringu

CoRR, 2011

Narrow scope for resolution-free community detection

[BibT_eX]

[DOI]

CoRR, 2011

Community Detection for Hierarchical Image Segmentation.

[BibT_eX]

[DOI]

Proceedings of the Combinatorial Image Analysis - 14th International Workshop, 2011

Indirect reciprocity through gossiping can lead to cooperative clusters.

[BibT_eX]

[DOI]

Proceedings of the 2011 IEEE Symposium on Artificial Life, 2011

2010

A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components.

[BibT_eX]

[DOI]

Eugene E. Tyrtyshnikov

SIAM J. Matrix Anal. Appl., 2010

Iterative Filtering in Reputation Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2010

H2-Optimal Model Reduction with Higher-Order Poles.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2010

Implicit double shift QR-algorithm for companion matrices.

[BibT_eX]

[DOI]

Numerische Mathematik, 2010

Two-sided Grassmann-Rayleigh quotient iteration.

[BibT_eX]

[DOI]

Numerische Mathematik, 2010

Using semiseparable matrices to compute the SVD of a general matrix product/quotient.

[BibT_eX]

[DOI]

Marc Van Barel

Yvette Vanberghen

J. Comput. Appl. Math., 2010

Exponential Ranking: Taking into Account Negative Links.

[BibT_eX]

[DOI]

Proceedings of the Social Informatics - Second International Conference, 2010

An efficient particle filtering technique on the Grassmann manifold.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 2010

2009

Elastic Morphing of 2D and 3D Objects on a Shape Manifold.

[BibT_eX]

[DOI]

Proceedings of the Image Analysis and Recognition, 6th International Conference, 2009

2008

Optimizing the Coupling Between Two Isometric Projections of Matrices.

[BibT_eX]

[DOI]

Catherine Fraikin

SIAM J. Matrix Anal. Appl., 2008

Descent methods for Nonnegative Matrix Factorization

[BibT_eX]

[DOI]

Ngoc-Diep Ho

CoRR, 2008

H2-optimal model reduction of MIMO systems.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2008

The PageTrust Algorithm: How to rank web pages when negative links are allowed?

[BibT_eX]

[DOI]

Proceedings of the SIAM International Conference on Data Mining, 2008

2007

Numerical Linear Algebra in Signal Processing Applications.

[BibT_eX]

[DOI]

Gene H. Golub

Shivkumar Chandrasekaran

Sabine Van Huffel

EURASIP J. Adv. Signal Process., 2007

Iterative Filtering for a Dynamical Reputation System

[BibT_eX]

[DOI]

CoRR, 2007

Maximizing PageRank via outlinks

[BibT_eX]

[DOI]

Laure Ninove

CoRR, 2007

Graph matching with type constraints on nodes and edges.

[BibT_eX]

[DOI]

Catherine Fraikin

Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

A Novel Scheme for Positive Real Balanced Truncation.

[BibT_eX]

[DOI]

Kari Unneland

Olav Egeland

Proceedings of the American Control Conference, 2007

2006

Balancing Regular Matrix Pencils.

[BibT_eX]

[DOI]

Damien Lemonnier

SIAM J. Matrix Anal. Appl., 2006

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

[BibT_eX]

[DOI]

Delin Chu

Autom., 2006

Stability margins for generalized state space systems.

[BibT_eX]

[DOI]

Djilali Bouagada

Appl. Math. Lett., 2006

Maximal Nonnegative Perturbation of a Nonnegative Matrix.

[BibT_eX]

[DOI]

Bertrand Haut

G. Bastin

Proceedings of the Positive Systems, 2006

Social Leaders in Graphs.

[BibT_eX]

[DOI]

Etienne Huens

Proceedings of the Positive Systems, 2006

2005

On the Factorization of Hyperbolic and Unitary Transformations into Rotations.

[BibT_eX]

[DOI]

Michael Stewart

SIAM J. Matrix Anal. Appl., 2005

On the pseudo-inverse of the Laplacian of a bipartite graph.

[BibT_eX]

[DOI]

Ngoc-Diep Ho

Appl. Math. Lett., 2005

Model reduction via projection of generalized state space systems.

[BibT_eX]

[DOI]

Antoine Vandendorpe

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

On computing the complex passivity radius.

[BibT_eX]

[DOI]

Michael L. Overton

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004

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

[BibT_eX]

[DOI]

SIAM Rev., 2004

Model Reduction of MIMO Systems via Tangential Interpolation.

[BibT_eX]

[DOI]

Antoine Vandendorpe

SIAM J. Matrix Anal. Appl., 2004

Normwise Scaling of Second Order Polynomial Matrices.

[BibT_eX]

[DOI]

Hung-Yuan Fan

Wen-Wei Lin

SIAM J. Matrix Anal. Appl., 2004

Cubically Convergent Iterations for Invariant Subspace Computation.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

A measure of similarity between graph vertices

[BibT_eX]

[DOI]

CoRR, 2004

Model Reduction of Large-Scale Dynamical Systems.

[BibT_eX]

[DOI]

Athanasios C. Antoulas

Proceedings of the Computational Science, 2004

2003

Identification of positive real models in subspace identification by using regularization.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2003

Optimization Problems over Positive Pseudopolynomial Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2003

Recursive Calculation of Dominant Singular Subspaces.

[BibT_eX]

[DOI]

Younes Chahlaoui

SIAM J. Matrix Anal. Appl., 2003

Computing the zeros of periodic descriptor systems.

[BibT_eX]

[DOI]

András Varga

Syst. Control. Lett., 2003

New algorithms for the iterative refinement of estimates of invariant subspaces.

[BibT_eX]

[DOI]

Knut Hüper

Future Gener. Comput. Syst., 2003

Similarity Matrices for Pairs of Graphs.

[BibT_eX]

[DOI]

Proceedings of the Automata, Languages and Programming, 30th International Colloquium, 2003

Recursive low rank Hankel approximation and model reduction.

[BibT_eX]

[DOI]

Younes Chahlaoui

Proceedings of the 7th European Control Conference, 2003

A Newton algorithm for invariant subspace computation with large basins of attraction.

[BibT_eX]

[DOI]

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002

Robust stability and stabilization for singular systems with state delay and parameter uncertainty.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2002

A Grassmann-Rayleigh Quotient Iteration for Computing Invariant Subspaces.

[BibT_eX]

[DOI]

SIAM Rev., 2002

On computing the zeros of periodic systems.

[BibT_eX]

[DOI]

András Varga

Proceedings of the 41st IEEE Conference on Decision and Control, 2002

2001

Identification of stable models in subspace identification by using regularization.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2001

Convergence analysis of a Riccati-based stabilization method.

[BibT_eX]

[DOI]

X. Rao

Proceedings of the 6th European Control Conference, 2001

Maximizing the stability radius: an LMI approach.

[BibT_eX]

[DOI]

Cristian Oari

Radu Stefan

Proceedings of the American Control Conference, 2001

2000

Updating a Generalized URV Decomposition.

[BibT_eX]

[DOI]

Michael Stewart

SIAM J. Matrix Anal. Appl., 2000

Computing the SVD of a General Matrix Product/Quotient.

[BibT_eX]

[DOI]

Gene H. Golub

Knut Sølna

SIAM J. Matrix Anal. Appl., 2000

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

[BibT_eX]

[DOI]

Craig T. Lawrence

André L. Tits

Autom., 2000

On the Stability of the Generalized Schur Algorithm.

[BibT_eX]

[DOI]

Sabine Van Huffel

Proceedings of the Numerical Analysis and Its Applications, 2000

Riccati equation-based stabilization of large scale dynamical systems.

[BibT_eX]

[DOI]

X. Rao

Proceedings of the 39th IEEE Conference on Decision and Control, 2000

Imposing stability in subspace identification by regularization.

[BibT_eX]

[DOI]

Proceedings of the 39th IEEE Conference on Decision and Control, 2000

1999

Periodic descriptor systems: solvability and conditionability.

[BibT_eX]

[DOI]

Jayaramanan Sreedhar

IEEE Trans. Autom. Control., 1999

Sensitivity analysis of the Lanczos reduction.

[BibT_eX]

[DOI]

Christopher C. Paige

Numer. Linear Algebra Appl., 1999

Rational approximations of pre-filtered transfer functions via the Lanczos algorithm.

[BibT_eX]

[DOI]

Numer. Algorithms, 1999

The analytic center of LMI's and Riccati equations.

[BibT_eX]

[DOI]

Yves V. Genin

Proceedings of the 5th European Control Conference, 1999

Positive transfer functions and convex optimization.

[BibT_eX]

[DOI]

Yves V. Genin

Proceedings of the 5th European Control Conference, 1999

1997

Stability Issues in the Factorization of Structured Matrices.

[BibT_eX]

[DOI]

Michael Stewart

SIAM J. Matrix Anal. Appl., January, 1997

1996

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

[BibT_eX]

[DOI]

Eric James Grimme

Danny C. Sorensen

Numer. Algorithms, 1996

A rational Lanczos algorithm for model reduction.

[BibT_eX]

[DOI]

G. Grimme

Numer. Algorithms, 1996

1995

Pole-zero representation of descriptor systems.

[BibT_eX]

[DOI]

Pradeep Misra

Vassilis L. Syrmos

Autom., 1995

1994

Computation of structural invariants of generalized state-space systems.

[BibT_eX]

[DOI]

Pradeep Misra

András Varga

Autom., 1994

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

[BibT_eX]

[DOI]

Autom., 1994

On Solving Block Toeplitz Systems Using a Block Schur Algorithm.

[BibT_eX]

[DOI]

Srikanth Thirumalai

Proceedings of the 1994 International Conference on Parallel Processing, 1994

1993

A Systolic Array for SVD Updating.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., April, 1993

1992

Generalizations of the Singular Value and QR-Decompositions.

[BibT_eX]

[DOI]

Bart De Moor

SIAM J. Matrix Anal. Appl., 1992

A Singular Value Decomposition Updating Algorithm for Subspace Tracking.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1992

1991

A note on 'Efficient numerically stabilized rank-one eigenstructure updating' [and reply].

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1991

A systolic algorithm for QSVD updating.

[BibT_eX]

[DOI]

Signal Process., 1991

An accurate product SVD algorithm.

[BibT_eX]

[DOI]

Adam W. Bojanczyk

Lars-Magnus Ewerbring

Franklin T. Luk

Signal Process., 1991

Jacobi-Type Algorithms for LDC and Cholesky Factorization.

[BibT_eX]

[DOI]

J. Parallel Distributed Comput., 1991

1989

Algorithm 675: Fortran subroutines for computing the square root covariance filter and square root information filter in dense or Hessenberg forms.

[BibT_eX]

[DOI]

Michel Vanbegin

Michel Verhaegen

ACM Trans. Math. Softw., 1989

A systolic algorithm for Riccati and Lyapunov equations.

[BibT_eX]

[DOI]

J.-P. Charlier

Math. Control. Signals Syst., 1989

1984

Linear time-variable systems: Stability of reduced models.

[BibT_eX]

[DOI]

Shahriar Shokoohi

Leonard M. Silverman

Autom., 1984

1983

On the role of the partial trigonometric moment problem in AR speech modelling.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Acoustics, 1983

1982

Algorithm 590: DSUBSP and EXCHQZ: FORTRAN Subroutines for Computing Deflating Subspaces with Specified Spectrum.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 1982

Computation of zeros of linear multivariable systems.

[BibT_eX]

[DOI]

Abbas Emami-Naeini