Results 41 to 50 of about 253 (176)

On generalized derivatives for C1,1 vector optimization problems

Journal of Applied Mathematics, Volume 2003, Issue 7, Page 365-376, 2003., 2003
We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second‐order optimality conditions for vector optimization problems involving C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second‐order Clarke subdifferential.
Davide La Torre
wiley   +1 more source

A modified RMIL conjugate gradient-based projection algorithm for constrained nonlinear equations: application to image denoising

Demonstratio Mathematica
In this paper, a modified Rivaie-Mohd-Ismail-Leong (RMIL) conjugate gradient-based projection algorithm for constrained nonlinear equations is proposed, which integrates projection techniques and line search approaches to enhance solution accuracy and ...
Wang Kai, Li Dandan, Wang Songhua
doaj   +1 more source

A new branch and bound algorithm for minimax ratios problems

Open Mathematics, 2017
This study presents an efficient branch and bound algorithm for globally solving the minimax fractional programming problem (MFP). By introducing an auxiliary variable, an equivalent problem is firstly constructed and the convex relaxation programming ...
Zhao Yingfeng, Liu Sanyang, Jiao Hongwei
doaj   +1 more source

A nonlinear preconditioner for optimum experimental design problems

EURO Journal on Computational Optimization, 2015
We show how to efficiently compute A-optimal experimental designs, which are formulated in terms of the minimization of the trace of the covariance matrix of the underlying regression process, using quasi-Newton sequential quadratic programming methods ...
Mario S. Mommer, Andreas Sommer, Johannes P. Schlöder, H. Georg Bock   +3 more
doaj   +1 more source

A Novel Topical Emollient Plus for Canine Atopic Dermatitis: A Clinical Trial Assessing Efficacy and User Acceptance

Veterinary Dermatology, Volume 37, Issue 2, Page 293-305, April 2026.
Background: Canine atopic dermatitis (cAD) is a common, chronic skin condition characterised by epidermal barrier dysfunction, immune dysregulation and cutaneous dysbiosis. While “emollient plus” formulations are widely used in human atopic dermatitis, their role in cAD remains underexplored. Hypothesis/Objectives: To evaluate the clinical efficacy and
Beatriz Fernandes, António Caldeira Mendes, Susana Paula Alves, Vanessa Schmidt, Ana Filipa Bizarro, Marta Pinto, Hugo Pereira, Joana Marto, Ana Mafalda Lourenço   +8 more
wiley   +1 more source

Sensitivity analysis for parametric vector optimization problems using differential equations approach

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 9, Page 621-628, 2001., 2001
A new method for obtaining sensitivity information for parametric vector optimization problems (VOP) v is presented, where the parameters in the objective functions and anywhere in the constraints. This method depends on using differential equations technique for solving multiobjective nonlinear programing problems which is very effective in finding ...
Fatma M. Ali
wiley   +1 more source

Global optimality conditions and optimization methods for quadratic integer programming problems

, 2011
Global optimality conditions, Quadratic integer programming problem, Optimization method, Auxiliary function, 41A65, 41A29, 90C30,
Wu, Zhiyou, Z. Y. Wu, Z. Wu, Quan, Jing, J. Quan, Li, Gloria, G. Li, G. Q. Li   +7 more
core   +1 more source

Modified four-term conjugate gradient method with applications in image restoration and regression problem

Demonstratio Mathematica
The conjugate gradient (CG) method is recognized for resolving unconstrained optimization problems because of its efficiency, robustness, and minimal memory demands.
Masmali Sultanah, Alhawarat Ahmad, Salleh Zabidin, Masmali Ibtisam, Sabra Ramadan   +4 more
doaj   +1 more source

An Inertial‐Based Hybrid PRP‐HS‐Type CGP Algorithm for Nonlinear Equations With Convex Constraints and Its Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper presents an inertial‐based hybrid conjugate gradient projection algorithm for solving nonlinear equations with convex constraints. The proposed algorithm integrates Polak–Ribière–Polyak and Hestenes–Stiefel methods within a conjugate gradient framework, incorporating an inertial‐relaxed technique to accelerate iterative convergence.
Yan Xia, Dandan Li, Nian-Sheng Tang
wiley   +1 more source

A remark on Gwinner′s existence theorem on variational inequality problem

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 573-575, 2000., 2000
Gwinner (1981) proved an existence theorem for a variational inequality problem involving an upper semicontinuous multifunction with compact convex values. The aim of this paper is to solve this problem for a multifunction with open inverse values.
V. Vetrivel, S. Nanda
wiley   +1 more source