Results 21 to 30 of about 969 (184)

Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds

open access: yesMathematics, 2022
This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems.
Savin Treanţă   +2 more
doaj   +1 more source

Balanced Circular Packing Problems with Distance Constraints

open access: yesComputation, 2022
The packing of different circles in a circular container under balancing and distance conditions is considered. Two problems are studied: the first minimizes the container’s radius, while the second maximizes the minimal distance between circles, as well
Tetyana Romanova   +6 more
doaj   +1 more source

An interior-point method for nonlinear optimization problems with locatable and separable nonsmoothness

open access: yesEURO Journal on Computational Optimization, 2015
Many real-world optimization models comprise nonconvex and nonsmooth functions leading to very hard classes of optimization models. In this article, a new interior-point method for the special, but practically relevant class of optimization problems with
Martin Schmidt
doaj   +1 more source

Nonsmooth Optimization Techniques for Semisupervised Classification [PDF]

open access: yesIEEE Transactions on Pattern Analysis and Machine Intelligence, 2007
We apply nonsmooth optimization techniques to classification problems, with particular reference to the TSVM (Transductive Support Vector Machine) approach, where the considered decision function is nonconvex and nondifferentiable and then difficult to minimize.
Astorino A, FUDULI, Antonio
openaire   +3 more sources

One-Rank Linear Transformations and Fejer-Type Methods: An Overview

open access: yesMathematics
Subgradient methods are frequently used for optimization problems. However, subgradient techniques are characterized by slow convergence for minimizing ravine convex functions.
Volodymyr Semenov   +3 more
doaj   +1 more source

Topological Subdifferential and its Role in Nonsmooth Optimization with Quasiconvex Data [PDF]

open access: yesControl and Optimization in Applied Mathematics, 2020
In this paper, we study nonsmooth optimization problems with quasiconvex functions using topological subdifferential. We present some necessary and sufficient optimality conditions and characterize topological pseudoconvex functions.
Hamed Soroush
doaj   +1 more source

A New Approach for Generalized Partial Derivatives of Non-smooth Functions

open access: yesWalailak Journal of Science and Technology, 2014
In this paper, we define the functional optimization problems corresponding to multi-variable smooth functions, so that their optimal solutions are partial derivatives of these functions.
Hamid Reza ERFANIAN   +2 more
doaj   +1 more source

The Space Decomposition Theory for a Class of Semi-Infinite Maximum Eigenvalue Optimizations

open access: yesAbstract and Applied Analysis, 2014
We study optimization problems involving eigenvalues of symmetric matrices. We present a nonsmooth optimization technique for a class of nonsmooth functions which are semi-infinite maxima of eigenvalue functions.
Ming Huang   +3 more
doaj   +1 more source

A new smoothing modified three-term conjugate gradient method for l1 $l_{1}$-norm minimization problem

open access: yesJournal of Inequalities and Applications, 2018
We consider a kind of nonsmooth optimization problems with l1 $l_{1}$-norm minimization, which has many applications in compressed sensing, signal reconstruction, and the related engineering problems.
Shouqiang Du, Miao Chen
doaj   +1 more source

Nonsmooth optimization and robust control [PDF]

open access: yesAnnual Reviews in Control, 2007
Many questions of robust control analysis and synthesis fundamentally involve nonsmooth sets and functions, and their variational properties. Central examples include distances to instability and uncontrollability, the H 1 norm, and pseudospectra.
openaire   +1 more source

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