Results 21 to 30 of about 22,374 (199)

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

Optimizing condition numbers [PDF]

open access: yes, 2009
In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function.
Jane J. Ye, Lewis A.S., Pierre Maréchal
core   +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

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

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

Proximal Linearized Iteratively Reweighted Algorithms for Nonconvex and Nonsmooth Optimization Problem

open access: yesAxioms, 2022
The nonconvex and nonsmooth optimization problem has been attracting increasing attention in recent years in image processing and machine learning research. The algorithm-based reweighted step has been widely used in many applications.
Juyeb Yeo, Myeongmin Kang
doaj   +1 more source

A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems

open access: yes, 2018
We consider a class of nonconvex nonsmooth optimization problems whose objective is the sum of a smooth function and a finite number of nonnegative proper closed possibly nonsmooth functions (whose proximal mappings are easy to compute), some of which ...
Liu, Tianxiang   +2 more
core   +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

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