%S Lecture Notes in Mathematics %A C. Lemarechal %T Optimisation non Differentiable: Methodes de Faisceaux %X 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). %P 53-61 %B Computing Methods in Applied Sciences and Engineering, 1977, I %E R. Glowinski %E J.L. Lions %E I. Liboria %V 704 %C Germany %D 2006 %I Springer Berlin Heidelberg %R 10.1007/BFb0063614 %L iiasa14043