S. Gratton

activity

20182022

most citedMinimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity

3 citations · 4 across the 4 of their papers we have counts for

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2 papers · 1 filter

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

Exploiting variable precision in GMRES

Serge Gratton, Ehouarn Simon, David Titley-Peloquin +1

We describe how variable precision floating point arithmetic can be used in the iterative solver GMRES. We show how the precision of the inner products carried out in the algorithm…

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

Exploiting variable precision in GMRES

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