3 citations · 3 across the 2 of their papers we have counts for
4 papers
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{…
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…
Minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity
S. Gratton, E. Simon, Ph. L. Toint
An adaptive regularization algorithm using inexact function and derivatives evaluations is proposed for the solution of composite nonsmooth nonconvex optimization. It is shown that…
A Line-Search Algorithm Inspired by the Adaptive Cubic Regularization Framework and Complexity Analysis
El houcine Bergou, Youssef Diouane, Serge Gratton
Adaptive regularized framework using cubics has emerged as an alternative to line-search and trust-region algorithms for smooth nonconvex optimization, with an optimal complexity a…