Claude Lemaréchal

Claude Lemaréchal (* 1944 in Paris ) is a French mathematician who deals with mathematical optimization (especially nonlinear optimization) and operations research .

Claude Lemárechal 2005, Oberwolfach

He is Research Director at the Institut national de recherche en informatique et en automatique (INRIA) in Rocquencourt .

Lemaréchal is known for numerical optimization methods in the non-differentiable case (e.g. his Bundle Method ). He also applied optimization methods in industry (electricity industry), trajectories, molecular biology, hydrodynamics of transonic flow and meteorology.

In 1994 he received the George B. Dantzig Prize .

Fonts

• An algorithm for minimizing convex functions, Proc. IFIP'74, Stockholm, 1974
• Minimization of nondifferentiable functions with constraints, Proc. 12th Conf on Circuit Theory, Urbana-Champaign 1974
• An extension of Davidon's methods to nondifferentiable problems, in Balinksi, Wolfe (editor), Math Prog Study 3, 1975
• Nondifferentiable optimization; subgradient and epsilon-subgradient methods, Lecture Notes on Economics and Mathematical Systems 117, 1976
• Bundle methods in nonsmooth optimization, in Lemarechal, Mifflin (editor), Proc. 1st IIASA Workshop on nonsmooth optimization, Pergamon Press 1978
• On a bundle algorithm for non-smooth optimization , in Mangasarian, Meyer, Robinson (Editor), Nonlinear Programming 4 , Academic Press 1981
• Some remarks on the construction of higher order algorithms in convex optimization , J. of Applied Math. And Optimization, Volume 10, 1983
• The eclipsing concept to approximate a multivalued mapping , Optimization, Volume 22, 1991
• with Jean-Baptiste Hiriart-Urruty: Fundamentals of convex analysis , Grundlehren der Mathematischen Wissenschaften , Springer Verlag 2001
• with Hiriart-Urruty: Convex Analysis and Minimization Algorithms, 2 volumes, Grundlehren der Mathematischen Wissenschaften, Springer Verlag, 1993, 2nd edition 1996
• with J. Frédéric Bonnans, J. Charles Gilbert, Claudia A. Sagastizábal: Numerical optimization: Theoretical and practical aspects , Universitext, Springer Verlag 2006
• Nondifferentiable optimization , in: GL Nemhauser, AHG Rinnooy Kan, MJ Todd (editor) Optimization. Handbooks in operations research and management science , Volume 1. North Holland 1989, pp. 529-572.
• Lagrangian relaxation , in: Michael Jünger, Denis Naddef, Computational combinatorial optimization: Papers from the Spring School held in Schloß Dagstuhl, May 15–19, 2000 . Lecture Notes in Computer Science 2241, Springer Verlag 2001, pp. 112–156

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