68 citations · 169 across the 22 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NA2018★ 3 cited
A note on solving nonlinear optimization problems in variable precision
S. Gratton, Ph. L. Toint
This short note considers an efficient variant of the trust-region algorithm with dynamic accuracy proposed Carter (1993) and Conn, Gould and Toint (2000) as a tool for very high-p…
math.NA2018★ 1 cited
Minimizing convex quadratic with variable precision conjugate gradients
S. Gratton, E. Simon, D. Titley-Peloquin +1
We investigate the method of conjugate gradients, exploiting inaccurate matrix-vector products, for the solution of convex quadratic optimization problems. Theoretical performance…
math.OC2018★ 1 cited
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…