@incollection{iiasa14043, volume = {704}, series = {Lecture Notes in Mathematics}, booktitle = {Computing Methods in Applied Sciences and Engineering, 1977, I}, editor = {R. Glowinski and J.L. Lions and I. Liboria}, address = {Germany}, title = {Optimisation non Differentiable: Methodes de Faisceaux}, publisher = {Springer Berlin Heidelberg}, year = {2006}, doi = {10.1007/BFb0063614}, pages = {53--61}, url = {https://pure.iiasa.ac.at/id/eprint/14043/}, isbn = {978-3-540-35411-6}, issn = {0075-8434}, abstract = {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).}, author = {Lemarechal, C.} }