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A note on inexact inner products in GMRES
Serge Gratton
,
Ehouarn Simon
,
David Titley-Peloquin
,
Philippe Toint
SIAM Journal on Matrix Analysis and Applications, 2022, 43 (3)
Journal articles
hal-03637231v1
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Guaranteeing the convergence of the saddle formulation for weakly constrained 4D‐Var data assimilation
Serge Gratton
,
Selime Gürol
,
Ehouarn Simon
,
Philippe Toint
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (717), pp.2592-2602. ⟨10.1002/qj.3355⟩
Journal articles
hal-02959392v1
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Differentiating the Method of Conjugate Gradients
Serge Gratton
,
David Titley-Peloquin
,
Philippe Toint
,
Jean Tshimanga Ilunga
SIAM Journal on Matrix Analysis and Applications, 2014, 35 (1), pp.110--126. ⟨10.1137/120889848⟩
Journal articles
hal-03224134v1
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Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation
Serge Gratton
,
Philippe Toint
,
Jean Tshimanga Ilunga
Quarterly Journal of the Royal Meteorological Society, 2014, 139 (675), pp.1481--1487
Journal articles
hal-03224130v1
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Quasi-Newton updates with weighted secant equations
Serge Gratton
,
Vincent Malmedy
,
Philippe Toint
Journal articles
hal-02147968v1
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An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity
Serge Gratton
,
Ehouarn Simon
,
Philippe Toint
Journal articles
hal-02943960v1
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A note on preconditioning weighted linear least-squares, with consequences for weakly constrained variational data assimilation
Serge Gratton
,
Selime Gürol
,
Ehouarn Simon
,
Philippe Toint
Quarterly Journal of the Royal Meteorological Society, 2018, 144 (712), pp.934-940. ⟨10.1002/qj.3262⟩
Journal articles
hal-02959395v1
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Issues in making the weakly-constrained 4DVar formulation computationally efficient
Serge Gratton
,
Selime Gurol
,
Ehouarn Simon
,
Philippe Toint
Griewank, Andreas; Reich, Sebastian; Roulstone, Ian; Stuart, Andrew. Mathematical and Algorithmic Aspects of Data Assimilation in the Geosciences, 13 (4), Mathematisches Forschungsinstitut Oberwolfach, pp.2705-2748, 2017, Oberwolfach Reports, ISSN: 1660-8933. ⟨10.4171/OWR/2016/47⟩
Book sections
hal-03176447v1
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Minimizing convex quadratics with variable precision conjugate gradients
Serge Gratton
,
Ehouarn Simon
,
David Titley-Peloquin
,
Philippe Toint
Numerical Linear Algebra with Applications, 2021, 28 (e2337)
Journal articles
hal-02959082v1
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Exploiting variable precision in GMRES
Serge Gratton
,
Ehouarn Simon
,
David Titley-Peloquin
,
Philippe Toint
2020
Preprints, Working Papers, ...
hal-02943241v1
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Les algorithmes et la puissance de calcul dans les techniques de prévision pour les géosciences en grande dimension vus sous l'angle de l'optimisation mathématique
Serge Gratton
,
Selime Gürol
,
Ehouarn Simon
,
Philippe Toint
Colloque Modélisation : succès et limites (2016), Dec 2016, Paris, France. pp.37-47
Conference papers
hal-03636585v1
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Observation thinning in data assimilation computations
Serge Gratton
,
Monserrat Rincon-Camacho
,
Ehouarn Simon
,
Philippe Toint
Journal articles
hal-02960628v1
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