Differences of polyhedra in matrix space and their applications to nonsmooth analysis

DOI10.1007/s10957-006-9120-xzbMath1123.49012OpenAlexW2006189360MaRDI QIDQ868569

N. E. Zubov

Publication date: 6 March 2007

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-006-9120-x

zbMATH Keywords

nonsmooth analysisnonsmooth equationsClarke generalized Jacobianquasidifferential calculusdifference of convex compact sets

Mathematics Subject Classification ID

Newton-type methods (49M15) Nonsmooth analysis (49J52)

Related Items (3)

Optimality conditions for set-valued optimisation problems using a modified Demyanov difference ⋮ A new representation of a proximal subdifferential by employing a directional derivative ⋮ Calculating the proximal subdifferential via the quasidifferential

Cites Work

• Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization.
• Representation of the Clarke generalized Jacobian via the quasidifferential
• Representation of the Clarke sudifferential for a regular quasidifferentiable function
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
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