# Clarke's generalized Jacobian

Known as: Clarke generalized Jacobian
In mathematics, Clarke's generalized Jacobian is a generalization of the Jacobian matrix of a smooth function to non-smooth functions. It was…
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## Papers overview

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2015
2015
• SIAM J. Control. Optim.
• 2015
• Corpus ID: 1807184
In this paper we study local convergence of inexact Newton methods of the form \$ {\big(}f(x_k)+ A_k(x_{k+1}-x_k)+F(x_{k+1}){\big…
2013
2013
• TOMS
• 2013
• Corpus ID: 17980289
Bundle methods for nonsmooth optimization and semismooth Newton methods for nonsmooth equation solving both require computation…
2012
2012
• Math. Program.
• 2012
• Corpus ID: 9571290
We consider the generalized Nash equilibrium problem (GNEP), where not only the players’ cost functions but also their strategy…
2009
2009
• 2009
• Corpus ID: 10799732
In this paper, we give an exact expression for Clarke generalized Jacobian of the projection onto symmetric cones, which…
2007
2007
• 2007
• Corpus ID: 125493107
In this paper we extend for a locally Lipschitz function the notion of Clarke’s generalized Jacobian to the setting where the…
2005
2005
This paper studies the difierentiability properties of the projection onto the cone of positive semideflnite matrices. In…
2001
2001
The notion of difference for two convex compact sets inRn, proposed by Rubinovet al, is generalized toRm×n. A formula of the…
Highly Cited
1998
Highly Cited
1998
• 1998
• Corpus ID: 120365508
The notion of approximate Jacobian matrices is introduced for a continuous vector-valued map. It is shown, for instance, that the…
1998
1998
• 1998
• Corpus ID: 117111005
This paper presents necessary and/or suucient conditions for a continuous map to be monotone, quasimonotone or pseudomonotone…