A5027393091- Optimization and Variational Analysis
- Advanced Optimization Algorithms Research
- Fixed Point Theorems Analysis
- Sparse and Compressive Sensing Techniques
- Numerical methods in inverse problems
- Topology Optimization in Engineering
- Contact Mechanics and Variational Inequalities
- Laser-Plasma Interactions and Diagnostics
- Laser-Matter Interactions and Applications
- Laser-induced spectroscopy and plasma
- Matrix Theory and Algorithms
- Advanced Mathematical Modeling in Engineering
- Advanced Numerical Methods in Computational Mathematics
- Atomic and Molecular Physics
- Composite Material Mechanics
- Laser Design and Applications
- Stochastic Gradient Optimization Techniques
- Iterative Methods for Nonlinear Equations
- Aerospace Engineering and Control Systems
- Laser Material Processing Techniques
- Optimization and Mathematical Programming
- Inertial Sensor and Navigation
- Economic theories and models
- Fractional Differential Equations Solutions
- Phagocytosis and Immune Regulation
University of Science and Technology of China
2024
Civil Aviation University of China
2015-2024
Chinese Academy of Sciences
2006-2024
Dalian Institute of Chemical Physics
2024
National Science Center
2023
University of KwaZulu-Natal
2020
Institute of Physics
2001-2013
National Laboratory for Superconductivity
2008-2012
In this article, we introduce an algorithms by incorporating inertial terms in the extragradient algorithm. A weak convergence theorem is established for proposed Numerical experiments show that speed up original ones.
In this paper, a projection-type approximation method is introduced for solving variational inequality problem. The proposed involves only one projection per iteration and the underline operator pseudo-monotone L-Lipschitz-continuous. strong convergence result of iterative sequence generated by established, under mild conditions, in real Hilbert spaces. Sound computational experiments comparing our newly with existing state art on multiple realistic test problems are given.
We observed the increase of conversion efficiency from laser energy to Kalpha x-ray (eta(K)) produced by a 60 fs frequency doubled high-contrast pulse focused on Cu foil, compared case fundamental pulse. eta(K) shows strong dependence nonlinearly modified rising edge It reaches maximum for 100 negatively The hot electron efficient heating leads enhancement eta(K). This demonstrates that lasers are an effective tool optimizing eta(K), via increasing electrons vacuum heating.
The split equality problem has extraordinary utility and broad applicability in many areas of applied mathematics. Recently, Moudafi proposed an alternating CQ algorithm its relaxed variant to solve it. However, employ Moudafi's algorithms, one needs know a priori norm (or at least estimate the norm) bounded linear operators (matrices finite-dimensional framework). To operator is very difficult, but not impossible task. It purpose this paper introduce projection with way selecting stepsizes...
We consider to design a new efficient and easy-to-implement algorithm solve general group sparse optimization model with class of non-convex non-Lipschitz regularizations, named as fast iterative thresholding support-and-scale shrinking (FITS3). In this paper we focus on the case least-squares fidelity. FITS3 is designed from lower bound theory such models by integrating operation, linearization extrapolation techniques. The has two advantages. Firstly, it quite especially suitable for...
The purpose of this paper is to study the convergence analysis an iterative algorithm with inertial extrapolation step for finding approximate solution split monotone inclusion problem in real Hilbert spaces. Weak sequence iterates generated from proposed method obtained under some mild assumptions. Some special cases general are given and we give numerical implementations support theoretical justification addition method.
In this paper, we propose an alternated inertial general splitting method with linearization for a split feasibility problem. Four rules of parameters and relaxation are discussed, where the adaptive firstly investigated. The convergence proposed is established under standard conditions. numerical examples presented to test four choices illustrate advantage our methods. An application in signal processing recovery algorithm sparse signal.