On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping

Author:

Fabian M.,Hiriart-Urruty J.-B.,Pauwels E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Reference8 articles.

1. Bartl, D., Fabian, M.: Every compact convex subset of marices is the Clarke Jacobian of some lipschitzian mapping. Proc. Am. Math. Soc. 149(11), 4771–4779 (2021)

2. Bolte, J., Le, T., Pauwels, E., Silvetto-Falls, A.: Nonsmooth implicit differentiation for machine learning and optimization. Advances in neural information processing systems, vol. 34 (2021)

3. Clarke, F.H.: On the inverse function theorem. Pac. J. Math. 64 (1), 97–102 (1976)

4. Fabian, M., Preiss, D.: On the Clarke’s generalized Jacobian. Suppl. Rend. Circ. Mat. Palermo 14, 305–307 (1987)

5. Hiriart-Urruty, J.-B.: Tangent cones, generalized gradients and mathematical programming in Banach spaces. Math. Oper. Res. 4(1), 79–97 (1979)

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Note on Clarke’s Generalized Jacobian for the Inverse of Bi-Lipschitz Maps;Journal of Optimization Theory and Applications;2023-12-01

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