X. Vasseur

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20192024

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math.NA2024

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…

math.NA2020

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…

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{…

A unified error analysis for randomized low-rank approximation with application to data assimilation

Numerical approximation of port-Hamiltonian systems for hyperbolic or parabolic PDEs with boundary control

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

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