Chair of Numerical Algorithms and High-Performance Computing
Teaching in Fall 2024:
Recent preprints
arXiv:2409.06384 Hei Yin Lam, Gianluca Ceruti, Daniel Kressner: Randomized low-rank Runge-Kutta methods
arXiv:2409.00500 Haoze He, Daniel Kressner, Bor Plestenjak: Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding
arXiv:2408.16416 Ivan Bioli, Daniel Kressner, Leonardo Robol: Preconditioned low-rank Riemannian optimization for symmetric positive definite linear matrix equations
arXiv:2407.04634 Daniel Kressner, Nian Shao: A randomized small-block Lanczos method for large-scale null space computations
arXiv:2405.18399 Haoze He, Daniel Kressner: A simple, randomized algorithm for diagonalizing normal matrices
arXiv:2405.11962 Zvonimir Bujanović, Luka Grubišić, Daniel Kressner, Hei Yin Lam: Subspace embedding with random Khatri-Rao products and its application to eigensolvers
arXiv:2405.09952 Gianluca Ceruti, Daniel Kressner, Dominik Sulz: Low-rank tree tensor network operators for long-range pairwise interactions
arXiv:2404.00960 David Persson, Nicolas Boullé, Daniel Kressner: Randomized Nyström approximation of non-negative self-adjoint operators
arXiv:2402.17369 Angelo A. Casulli, Daniel Kressner, Leonardo Robol: Computing functions of symmetric hierarchically semiseparable matrices
arXiv:2402.16557 Haoze He, Daniel Kressner: A randomized algorithm for simultaneously diagonalizing symmetric matrices by congruence
arXiv:2401.11786 Nian Shao, Wenbin Chen, Zhaojun Bai: EPIC: a provable accelerated eigensolver based on preconditioning and implicit convexity
arXiv:2311.14023 David Persson, Raphael A. Meyer, Christopher Musco: Algorithm-agnostic low-rank approximation of operator monotone matrix functions
arXiv:2309.06125 Axel Séguin, Gianluca Ceruti, Daniel Kressner: From low-rank retractions to dynamical low-rank approximation and back
arXiv:2309.05143 Nian Shao, Wenbin Chen: Riemannian acceleration with preconditioning for symmetric eigenvalue problems
arXiv:2309.02156 Margherita Guido, Daniel Kressner, Paolo Ricci: Subspace acceleration for a sequence of linear systems and application to plasma simulation
arXiv:2306.01485 Dayana Savostianova, Emanuele Zangrando, Gianluca Ceruti, Francesco Tudisco: Robust low-rank training via approximate orthonormal constraints