Results 111 to 120 of about 1,963,970 (223)

Subdifferentials with degrees of freedom and applications to optimization problems

Tạp chí Khoa học Đại học Đồng Tháp
In this work, we first present a new class of generalized differentials, namely subdifferentials with degrees of freedom as well as their applications in nonsmooth optimization problems. We then establish some computation rules for subdifferentials with
Vo Duc Thinh, Huynh Ngoc Cam
doaj   +1 more source

On Parallel Complexity of Nonsmooth Convex Optimization

Journal of Complexity, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Second order optimality conditions for nonsmooth multiobjective optimization problems

, 2005
In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized ...
D. La Torre, G. P. Crespi, M. Rocca
core   +2 more sources

Generalized Convexity via Clarke Subdifferential of Interval Mappings and Its Optimization Applications

Axioms
Clarke subdifferential and directional derivative theories are well developed for real functions. However, the nonsmooth analysis framework for interval mappings is still incomplete.
Shexiang Hai, Yanmei Zhang
doaj   +1 more source

The Cost of Nonconvexity in Deterministic Nonsmooth Optimization

Mathematics of Operations Research
We study the impact of nonconvexity on the complexity of nonsmooth optimization, emphasizing objectives such as piecewise linear functions, which may not be weakly convex. We focus on a dimension-independent analysis, slightly modifying a 2020 black-box algorithm of Zhang-Lin-Jegelka-Sra-Jadbabaie that approximates an ϵ-stationary point of any ...
Siyu Kong, Adrian S. Lewis
openaire   +4 more sources

Invex Nonsmooth Alternative Theorem And Applications

, 2015
An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and strong duality results established ...
Rojas-Medar M.A., Brandao A.J.V., Silva G.N.   +2 more
core  

On a Monotone Scheme for Nonconvex Nonsmooth Optimization with Applications to Fracture Mechanics. [PDF]

J Optim Theory Appl, 2019
Ghilli D, Ghilli D, Kunisch K.
europepmc   +1 more source

Nonsmooth Optimization in Constrained Spline Interpolation

Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special ...

core  

Nonsmooth Optimization and Descent Methods [PDF]

, 1978
Nonsmooth optimization is a field of research actively pursued at IIASA. In this paper, we show "what" it is; a thing that cannot be guessed easily from its definition by a negative statement. Also, we show "why" it exists at IIASA, by exhibiting a large
Lemarechal, C.
core   +1 more source

Delayed Star Subgradient Methods for Constrained Nondifferentiable Quasi-Convex Optimization

Algorithms
In this work, we consider the problem of minimizing a quasi-convex function over a nonempty closed convex constrained set. In order to approximate a solution of the considered problem, we propose delayed star subgradient methods.
Ontima Pankoon, Nimit Nimana
doaj   +1 more source