The Smoothed Spectral Abscissa for Robust Stability Optimization. - Joris Vanbiervliet; Bart Vandereycken; Wim Michiels; Stefan Vandewalle; Moritz Diehl (SIAM J. Optim., 2009)

A Riemannian Optimization Approach for Computing Low-Rank Solutions of Lyapunov Equations. - Bart Vandereycken; Stefan Vandewalle (SIAM J. Matrix Anal. Appl., 2010)

Low-Rank Matrix Completion by Riemannian Optimization. - Bart Vandereycken (SIAM J. Optim., 2013)

Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors. - Christian Lubich; Thorsten Rohwedder; Reinhold Schneider; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2013)

Riemannian Pursuit for Big Matrix Recovery. - Mingkui Tan; Ivor W. Tsang; Li Wang 033; Bart Vandereycken; Sinno Jialin Pan (ICML, 2014)

Subspace Methods for Computing the Pseudospectral Abscissa and the Stability Radius. - Daniel Kressner; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2014)

Time Integration of Tensor Trains. - Christian Lubich; Ivan V. Oseledets; Bart Vandereycken (SIAM J. Numer. Anal., 2015)

Preconditioned Low-rank Riemannian Optimization for Linear Systems with Tensor Product Structure. - Daniel Kressner; Michael Steinlechner; Bart Vandereycken (SIAM J. Sci. Comput., 2016)

Criss-Cross Type Algorithms for Computing the Real Pseudospectral Abscissa. - Ding Lu; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2017)

Subspace Acceleration for the Crawford Number and Related Eigenvalue Optimization Problems. - Daniel Kressner; Ding Lu; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2018)

Time Integration of Rank-Constrained Tucker Tensors. - Christian Lubich; Bart Vandereycken; Hanna Walach (SIAM J. Numer. Anal., 2018)

Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems. - Zhaojun Bai; Ding Lu; Bart Vandereycken (SIAM J. Sci. Comput., 2018)

Projection Methods for Dynamical Low-Rank Approximation of High-Dimensional Problems. - Emil Kieri; Bart Vandereycken (Comput. Methods Appl. Math., 2019)

A globally convergent method to compute the real stability radius for time-delay systems. - Francesco Borgioli; Wim Michiels; Ding Lu; Bart Vandereycken (Syst. Control. Lett., 2019)

Multilevel Riemannian optimization for low-rank problems. - Marco Sutti; Bart Vandereycken (CoRR, 2020)

The leapfrog algorithm as nonlinear Gauss-Seidel. - Marco Sutti; Bart Vandereycken (CoRR, 2020)

Distributed Principal Component Analysis with Limited Communication. - Foivos Alimisis; Peter Davies 001; Bart Vandereycken; Dan Alistarh (NeurIPS, 2021)

Riemannian Multigrid Line Search for Low-Rank Problems. - Marco Sutti; Bart Vandereycken (SIAM J. Sci. Comput., 2021)

TTML: tensor trains for general supervised machine learning. - Bart Vandereycken; Rik Voorhaar (CoRR, 2022)

Low-rank Parareal: a low-rank parallel-in-time integrator. - Benjamin Carrel; Martin J. Gander; Bart Vandereycken (CoRR, 2022)

Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints: an extended version. - Shixin Zheng; Wen Huang; Bart Vandereycken; Xiangxiong Zhang (CoRR, 2022)

A Note on the Optimal Convergence Rate of Descent Methods with Fixed Step Sizes for Smooth Strongly Convex Functions. - André Uschmajew; Bart Vandereycken (J. Optim. Theory Appl., 2022)

Projected exponential methods for stiff dynamical low-rank approximation problems. - Benjamin Carrel; Bart Vandereycken (CoRR, 2023)

Streaming Tensor Train Approximation. - Daniel Kressner; Bart Vandereycken; Rik Voorhaar (SIAM J. Sci. Comput., 2023)

A convexity-like structure for polar decomposition with an application to distributed computing. - Foivos Alimisis; Bart Vandereycken (CoRR, 2024)

A preconditioned inverse iteration with an improved convergence guarantee. - Foivos Alimisis; Daniel Kressner; Nian Shao; Bart Vandereycken (CoRR, 2024)

Gradient-Type Subspace Iteration Methods for the Symmetric Eigenvalue Problem. - Foivos Alimisis; Yousef Saad; Bart Vandereycken (SIAM J. Matrix Anal. Appl., 2024)

Randomized Sketching of Nonlinear Eigenvalue Problems. - Stefan Güttel; Daniel Kressner; Bart Vandereycken (SIAM J. Sci. Comput., 2024)

Geodesic Convexity of the Symmetric Eigenvalue Problem and Convergence of Steepest Descent. - Foivos Alimisis; Bart Vandereycken (J. Optim. Theory Appl., 2024)

Implicit Low-Rank Riemannian Schemes for the Time Integration of Stiff Partial Differential Equations. - Marco Sutti; Bart Vandereycken (J. Sci. Comput., 2024)

Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints. - Shixin Zheng; Wen Huang; Bart Vandereycken; Xiangxiong Zhang (Comput. Optim. Appl., 2025)

Gauss-Southwell Type Descent Methods for Low-Rank Matrix Optimization. - Guillaume Olikier; André Uschmajew; Bart Vandereycken (J. Optim. Theory Appl., 2025)