6 citations · 14 across the 20 of their papers we have counts for
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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.NA2017★ 6 cited
A note on preconditioning weighted linear least squares, with consequences for weakly-constrained variational data assimilation
Serge Gratton, Selime Gürol, Ehouarn Simon +1
The effect of preconditioning linear weighted least-squares using an approximation of the model matrix is analyzed, showing the interplay of the eigenstructures of both the model a…