X. Vasseur

activity

20132024

most citedOn the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

1 citations · 1 across the 7 of their papers we have counts for

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Showing 2019 · math.NAShow all

3 papers · 2 filters

math.NA2019

On the iterative solution of systems of the form $A^{T} A x = A^{T} b + c$

Henri Calandra, Serge Gratton, Elisa Riccietti +1

Given a full column rank matrix $A \in R^{m \times n}$ ( $m \geq n$ ), we consider a special class of linear systems of the form $A^{⊤} A x = A^{⊤} b + c$ with $x, c \in \mathbb{…

math.NA2019

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…

math.NA2019★ 1 cited

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…

On the iterative solution of systems of the form ATAx=ATb+c

On high-order multilevel optimization strategies

On the approximation of the solution of partial differential equations by artificial neural networks trained by a multilevel Levenberg-Marquardt method

On the iterative solution of systems of the form $A^{T} A x = A^{T} b + c$