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Optimality conditions in nonsmooth optimization
Bulletin of the Australian Mathematical Society, 1994This ``article'' is in fact the abstract of the author's Ph. D. thesis, the main thrust of which is to establish necessary and sufficient optimality conditions for minimization and maximization problems posed on abstract spaces. More particularly, the aim is to extend well-known optimality conditions for finite-dimensional problems, to the infinite ...
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2004
(Equivalent definitions; Closed functions; Continuity of convex functions; Separation theorems; Subgradients; Computation rules; Optimality conditions.)
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(Equivalent definitions; Closed functions; Continuity of convex functions; Separation theorems; Subgradients; Computation rules; Optimality conditions.)
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Computational nonsmooth optimization
Mathematical Programming, 1997Qi, Liqun +2 more
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Algorithms of Nonsmooth Optimization
1998In our applications we have to deal with two types of nonsmooth problems: the minimization of a nonsmooth functional f and the solution of nonsmooth equations. This chapter presents in short two basic algorithms which can cope with the difficulty caused by the nondifferentiability. These two codes are working horses in the numerical part of this book.
Jiři Outrata +2 more
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Nonsmooth PDE-Constrained Optimization
2015In the last chapter, some representative nonsmooth PDE-constrained optimization problems are addressed. Problems with cost functionals involving the L1-norm, with state constraints, or with variational inequality constraints are considered.
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Projected Primal–Dual Dynamics for Distributed Constrained Nonsmooth Convex Optimization
IEEE Transactions on Cybernetics, 2020Yanan Zhu, Wenwu Yu, Guanghui Wen
exaly