A5100425521- Advanced Optimization Algorithms Research
- Fractional Differential Equations Solutions
- Iterative Methods for Nonlinear Equations
- Nonlinear Differential Equations Analysis
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Sparse and Compressive Sensing Techniques
- Advanced Mathematical Modeling in Engineering
- Holomorphic and Operator Theory
- Optimization and Variational Analysis
- Nonlinear Partial Differential Equations
- Advanced Topics in Algebra
- Statistical Distribution Estimation and Applications
- Numerical methods in inverse problems
- Differential Equations and Boundary Problems
- Advanced Differential Equations and Dynamical Systems
- Numerical methods in engineering
- Matrix Theory and Algorithms
- Advanced Mathematical Physics Problems
- COVID-19 epidemiological studies
- Mathematical Biology Tumor Growth
- Analytic and geometric function theory
- Algebraic and Geometric Analysis
- COVID-19 Pandemic Impacts
- Probabilistic and Robust Engineering Design
Xihua University
2025
Lanzhou University
2023-2024
Minzu University of China
2024
PLA Air Force Aviation University
2024
Sichuan Normal University
2018-2023
University of Electronic Science and Technology of China
2019-2022
Jinhua Polytechnic
2021-2022
Second Affiliated Hospital of Fujian Medical University
2021
Fujian Medical University
2021
Changsha University of Science and Technology
2007-2020
Journal Article A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence Get access Li Zhang, Zhang **Email: zl606@tom.com Search for other works by this author on: Oxford Academic Google Scholar Weijun Zhou, Zhou Dong-Hui IMA of Numerical Analysis, Volume 26, Issue 4, October 2006, Pages 629–640, https://doi.org/10.1093/imanum/drl016 Published: 01 2006
Abstract In this paper, we propose a three-term conjugate gradient method which can produce sufficient descent condition, that is, . This property is independent of any line search used. When an exact used, reduces to the standard Hestenes–Stiefel method. We also introduce two variants proposed still preserve property, and prove these methods converge globally with Wolfe even if minimization function nonconvex. report some numerical experiment show efficiency methods. Keywords: Three-term...
In the global challenge of Coronavirus disease 2019 (COVID-19) pandemic, accurate prediction daily new cases is crucial for epidemic prevention and socioeconomic planning. contrast to traditional local, one-dimensional time-series data-based infection models, study introduces an innovative approach by formulating short-term problem in a region as multidimensional, gridded time series both input targets. A spatial-temporal depth model COVID-19 (ConvLSTM) presented, further ConvLSTM...
Abstract In this article, a new conjugate gradient method based on the MBFGS secant condition is derived, which regarded as modified version of Dai–Liao or Yabe–Takano method. This shown to be globally convergent under some assumptions. It feature that proof global convergence very simple without proving so-called Property(∗) given by Gilbert and Nocedal for general unconstrained optimization problems. Our numerical results show efficient test Keywords: Unconstrained optimizationConjugate...
Accelerated life-testing (ALT) is a very useful technique for examining the reliability of highly reliable products. It allows experimenter to obtain failure data more quickly at increased stress levels than under normal operating conditions. A step-stress model one special class ALT, and in this article we consider simple cumulative exposure with lognormally distributed lifetimes presence Type-I censoring. We then discuss inferential methods unknown parameters by maximum likelihood...
This paper is concerned with entire solutions of the monostable equation nonlocal dispersal, i.e., $u_{t}=J*u-u+f(u)$. Here kernel $J$ asymmetric. Unlike symmetric cases, this lacks symmetry between nonincreasing and nondecreasing traveling wave solutions. We first give a relationship critical speeds $c^{*}$ $\hat{c}^{*}$, where $c^*$ $\hat{c}^{*}$ are minimal solutions, respectively. Then we establish existence qualitative properties by combining two coming from both ends real axis some...
The compound variable inverse problem which comprises boundary temperature distribution and surface convective heat conduction coefficient of two‐dimensional steady transfer system with inner source is studied in this paper applying the conjugate gradient method. introduction complex to solve matrix objective function obtains more precise inversion results. This applies element method calculation discrete points forward problems. factors measuring error number zero impact measurement result...
Background: The rapid outbreak of coronavirus disease 2019 (COVID-19) posed a serious threat to China, followed by compulsive measures taken against the national emergency control its further spread. This study was designed describe residents' knowledge, attitudes, and practice behaviors (KAP) during COVID-19. Methods: An anonymous online questionnaire randomly administrated residents in mainland China between Mar 7 16, 2020. Residents' responses KAP were quantified descriptive stratified...
Coronavirus disease 2019 (COVID-19) is a severe global public health emergency that has caused major crisis in the safety of human life, health, economy, and social order. Moreover, COVID-19 poses significant challenges to healthcare systems worldwide. The prediction early warning infectious diseases on scale are premise basis for countries jointly fight epidemics. However, because complexity epidemics, predicting faces challenges. In this study, we developed second version Global Prediction...
Based on the secant condition often satisfied by quasi-Newton methods, two new versions of Hestenes-Stiefel (HS) nonlinear conjugate gradient method are proposed, which descent methods even with inexact line searches. The search directions proposed have form d k = - θkg + βkHSd k-1, or -g k-1+ θky k-1. When exact searches used, reduce to standard HS method. Convergence properties discussed. These results also extended some other such as Polak-Ribiére-Polyak (PRP) Numerical reported.
AbstractIn the present paper, we study hypercyclicity of weighted composition operators on Dirichlet space . According to value , give different results: when have no hypercyclic operator; and symbols satisfy some conditions, operator can be hypercyclic.Keywords: hypercyclicweighted operatorsweighted spaceAMS Subject Classifications: Primary: 47A16Secondary: 47B3847B3330H9946E20 AcknowledgmentsThe authors were supported in part by National Natural Science Foundation China (Grant Nos....