RT Book, Section SR 00 ID 10.1007/BFb0063614 A1 Lemarechal, C. T1 Optimisation non Differentiable: Methodes de Faisceaux YR 2006 FD 2006 VO 704 SP 53 OP 61 AB 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). A2 Glowinski, R. A2 Lions, J.L. A2 Liboria, I. T2 Computing Methods in Applied Sciences and Engineering, 1977, I PB Springer Berlin Heidelberg PP Germany T3 Lecture Notes in Mathematics SN 978-3-540-35411-6 AV Published LK https://pure.iiasa.ac.at/id/eprint/14043/