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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… Expand
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2015
2015
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… Expand
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2013
2013
Bundle methods for nonsmooth optimization and semismooth Newton methods for nonsmooth equation solving both require computation… Expand
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2012
2012
We consider the generalized Nash equilibrium problem (GNEP), where not only the players’ cost functions but also their strategy… Expand
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2011
2011
Let f and g be continuously differentiable functions on Rn. The nonlinear complementarity problem NCP(f,g), 0≤f(x)⊥g(x)≥0, arises… Expand
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2009
2009
In this paper, we give an exact expression for Clarke generalized Jacobian of the projection onto symmetric cones, which… Expand
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2005
2005
This paper studies the difierentiability properties of the projection onto the cone of positive semideflnite matrices. In… Expand
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2001
2001
The notion of difference for two convex compact sets inRn, proposed by Rubinovet al, is generalized toRm×n. A formula of the… Expand
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1998
1998
The notion of approximate Jacobian matrices is introduced for a continuous vector-valued map. It is shown, for instance, that the… Expand
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1998
1998
This paper presents necessary and/or suucient conditions for a continuous map to be monotone, quasimonotone or pseudomonotone… Expand
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1988
1988
Abstract Dynamic state estimation of large interconnected power systems poses two types of problems: modelling of the system… Expand
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