Results 31 to 40 of about 1,802,858 (209)

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

Subgradient Smoothing Method for Nonsmooth Nonconvex Optimization

open access: yes, 2021
In this chapter an unconstrained nonsmooth nonconvex optimization problem is considered and a method for solving this problem is developed. In this method the subproblem for finding search directions is reduced to the unconstrained minimization of a ...
A. M. Bagirov   +7 more
core   +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

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

Generalized Nonsmooth Exponential-Type Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems in Asplund Spaces

open access: yesMathematics, 2019
The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator.
Syed Shakaib Irfan   +4 more
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   +2 more sources

A New Smoothing Nonlinear Conjugate Gradient Method for Nonsmooth Equations with Finitely Many Maximum Functions

open access: yesAbstract and Applied Analysis, 2013
The nonlinear conjugate gradient method is of particular importance for solving unconstrained optimization. Finitely many maximum functions is a kind of very useful nonsmooth equations, which is very useful in the study of complementarity problems ...
Yuan-yuan Chen, Shou-qiang Du
doaj   +1 more source

A nonsmooth, nonconvex model of optimal growth [PDF]

open access: yesJournal of Economic Theory, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Kamihigashi, Santanu Roy
openaire   +5 more sources

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