1 citations · 1 across the 7 of their papers we have counts for
7 papers
A unified error analysis for randomized low-rank approximation with application to data assimilation
Alexandre Scotto Di Perrotolo, Youssef Diouane, Selime Gürol +1
Randomized algorithms have proven to perform well on a large class of numerical linear algebra problems. Their theoretical analysis is critical to provide guarantees on their behav…
A general error analysis for randomized low-rank approximation methods
Youssef Diouane, Selime Gürol, Alexandre Scotto Di Perrotolo +1
We propose a general error analysis related to the low-rank approximation of a given real matrix in both the spectral and Frobenius norms. First, we derive deterministic error boun…
Numerical approximation of port-Hamiltonian systems for hyperbolic or parabolic PDEs with boundary control
Andrea Brugnoli, Ghislain Haine, Anass Serhani +1
We consider the design of structure-preserving discretization methods for the solution of systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port-Ha…
On the iterative solution of systems of the form
Henri Calandra, Serge Gratton, Elisa Riccietti +1
Given a full column rank matrix (), we consider a special class of linear systems of the form with $x, c \in \mathbb{…
On high-order multilevel optimization strategies
Henri Calandra, Serge Gratton, Elisa Riccietti +1
We propose a new family of multilevel methods for unconstrained minimization. The resulting strategies are multilevel extensions of high-order optimization methods based on q-order…
On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method
Henri Calandra, Serge Gratton, Elisa Riccietti +1
This paper is concerned with the approximation of the solution of partial differential equations by means of artificial neural networks. Here a feedforward neural network is used t…
Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems
Olivier Coulaud, Luc Giraud, Pierre Ramet +1
In this paper we present deflation and augmentation techniques that have been designed to accelerate the convergence of Krylov subspace methods for the solution of linear systems o…