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06/25/2023
Regularized methods via cubic subspace minimization for nonconvex optimization
The main computational cost per iteration of adaptive cubic regularizati...
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06/10/2023
Sketched and truncated polynomial Krylov methods: Evaluation of matrix functions
Among randomized numerical linear algebra strategies, so-called sketchin...
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04/25/2023
A new ParaDiag time-parallel time integration method
Time-parallel time integration has received a lot of attention in the hi...
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03/31/2022
Stein-based preconditioners for weak-constraint 4D-var
Algorithms for data assimilation try to predict the most likely state of...
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03/31/2022
Krylov techniques for low-rank ADI
One of the most computationally expensive steps of the low-rank ADI meth...
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10/07/2021
Palindromic linearization and numerical solution of nonsymmetric algebraic T-Riccati equations
We identify a relationship between the solutions of a nonsymmetric algeb...
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07/26/2021
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution
We introduce a very weak space-time variational formulation for the wave...
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03/12/2021
An efficient, memory-saving approach for the Loewner framework
The Loewner framework is one of the most successful data-driven model or...
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03/06/2021
The Short-term Rational Lanczos Method and Applications
Rational Krylov subspaces have become a reference tool in dimension redu...
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03/08/2020
On the Solution of the Nonsymmetric T-Riccati Equation
The nonsymmetric T-Riccati equation is a quadratic matrix equation where...
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02/04/2020
Compress-and-restart block Krylov subspace methods for Sylvester matrix equations
Block Krylov subspace methods (KSMs) comprise building blocks in many st...
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12/20/2019
Matrix oriented reduction of space-time Petrov-Galerkin variational problems
Variational formulations of time-dependent PDEs in space and time yield ...
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09/03/2019
On the convergence of Krylov methods with low-rank truncations
Low-rank Krylov methods are one of the few options available in the lite...
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08/30/2019
Matrix equation techniques for certain evolutionary partial differential equations
We show that the discrete operator stemming from the time and space disc...
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01/29/2019