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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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09/02/2022
Numerical solution of a class of quasi-linear matrix equations
Given the matrix equation A X + X B + f( X ) C = D in the unknown n× m...
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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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07/24/2021
A Tensor-Train Dictionary Learning algorithm based on Spectral Proximal Alternating Linearized Minimization
Dictionary Learning (DL) is one of the leading sparsity promoting techni...
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06/14/2021
State-dependent Riccati equation feedback stabilization for nonlinear PDEs
The synthesis of suboptimal feedback laws for controlling nonlinear dyna...
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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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06/23/2020
A matrix-oriented POD-DEIM algorithm applied to nonlinear differential matrix equations
We are interested in approximating the numerical solution U(t) of the la...
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05/29/2020
A low-rank matrix equation method for solving PDE-constrained optimization problems
PDE-constrained optimization problems arise in a broad number of applica...
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12/20/2019
