relation: https://pure.iiasa.ac.at/id/eprint/14043/ title: Optimisation non Differentiable: Methodes de Faisceaux creator: Lemarechal, C. description: We define a class of descent methods to minimize a nondifferentiable function. These methods are based on a representation of the objective which combines a quadratic approximation and the usual approximation by a piecewise linear function. Hence, they realize a synthesis between quasi-Newton methods and cutting plane methods. In addition, they have the particularity of requiring no sophisticated line search. They are also presented in ref. [7] (in English). publisher: Springer Berlin Heidelberg contributor: Glowinski, R. contributor: Lions, J.L. contributor: Liboria, I. date: 2006 type: Book Section type: PeerReviewed identifier: Lemarechal, C. (2006). Optimisation non Differentiable: Methodes de Faisceaux. In: Computing Methods in Applied Sciences and Engineering, 1977, I. Eds. Glowinski, R., Lions, J.L., & Liboria, I., pp. 53-61 Germany: Springer Berlin Heidelberg. ISBN 978-3-540-35411-6 10.1007/BFb0063614 . relation: 10.1007/BFb0063614 identifier: 10.1007/BFb0063614 doi: 10.1007/BFb0063614