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Distributed Solving Linear Algebraic Equations with Switched Fractional Order Dynamics: 《Journal of Systems Science & Complexity》2023年第2期613-631,共19页YU Wenqiang CHENG Songsong HE Shuping; supported by the National Natural Science Foundation of China under Grant Nos.62103003,62073001,and 61973002;the Anhui Provincial Key Research and Development Project under Grant2022i01020013;the University Synergy Innovation Program of Anhui Province under Grant No.GXXT-2021-010;the Anhui Provincial Natural Science Foundation under Grant No.2008085J32;the National Postdoctoral Program for Innovative Talents under Grant No.BX20180346;the General Financial Grant from the China Postdoctoral Science Foundation under Grant No.2019M660834。; This paper proposes a novel distributed optimization algorithm with fractional order dynamics to solve linear algebraic equations.Firstly,the authors proposed“Consensus+Projection”flow with fractional order dynamics...; 关键词：Distributed optimization fractional order dynamics initial condition iteration order linear equations

Iteration framework for solving mixed lubrication computation problems被引量：2: 《Frontiers of Mechanical Engineering》2021年第3期635-648,共14页Shi CHEN Nian YIN Zhinan ZHANG Xiaojiang CAI; This study was financially supported by the National Natural Science Foundation of China(Grant No.U1637206);Shanghai Academy of Spaceflight Technology Projects(Grant Nos.SAST2017-079 and USCAST2019-25);the State Key Laboratory of Mechanical System and Vibration(Grant No.MSVZD201912).; The general discrete scheme of time-varying Reynolds equation loses the information of the previous step,which makes it unreasonable.A discretization formula of the Reynolds equation,which is based on the Crank-Nicols...; 关键词：mixed lubrication discretization formula relative error Reynolds equation ASPERITY

Convergence analysis of Oja’s iteration for solving online PCA with nonzero-mean samples被引量：2: 《Science China Mathematics》2021年第4期849-868,共20页Siyun Zhou Yanqin Bai; supported by National Natural Science Foundation of China(Grant No.11771275)。; Principal component analysis(PCA)is one of the most popular multivariate data analysis techniques for dimension reduction and data mining,and is widely used in many fields ranging from industry and biology to finance ...; 关键词：online PCA Oja’s algorithm nonzero-mean samples convergence rate

On the History of the Numerical Methods Solving the Drift Diffusion Model: 《Journal of Microelectronic Manufacturing》2020年第4期12-20,共9页Bernd Meinerzhagen; In 1964 Hermann Gummel published the first numerical solution method for the onedimensional Drift Diffusion model.In his seminal paper[1]already the nonlinear iteration method and the basics of the discretization meth...; 关键词：DIFFUSION ITERATION dimensions

Accuracy and Efficiency: The Comparison of Different RPC Parameters Solving Methods: 《Journal of Geoscience and Environment Protection》2020年第10期117-126,共10页Longhui Wang Tao Wang Yan Zhang Kun Zhang; As a generalized sensor, the RPC model with its accuracy equally matches the physical sensor model. Moreover, the accurate positioning combining with the flexibility in application le...; 关键词：Rational Polynomial Coefficients (RPC) Ridge Estimation Iterative Method Spectrum Correction Iteration Conjugate Gradient Method

ALTERNATELY LINEARIZED IMPLICIT ITERATION METHODS FOR SOLVING QUADRATIC MATRIX EQUATIONS: 《Journal of Computational Mathematics》2014年第3期306-311,共6页Bing Gui Hao Liu Minli Yan; This work was supported by the National Natural Science Foundation （No.11171337）, P. R. China.; A numerical solution of the quadratic matrix equations associated with a nonsingular M-matrix by using the alternately linearized implicit iteration method is considered. An iteration method for computing a nonsingula...; 关键词：Quadratic matrix equation Alternately iteration M-MATRIX Matrix transformation.

The Continuous Analogy of Newton’s Method for Solving a System of Linear Algebraic Equations: 《Applied Mathematics》2013年第1期210-216,共7页Tugal Zhanlav Ochbadrakh Chuluunbaatar Gantumur Ankhbayar; We propose a continuous analogy of Newton’s method with inner iteration for solving a system of linear algebraic equations. Implementation of inner iterations is carried out in two ways. The former is to fix the numb...; 关键词：CONTINUOUS ANALOGY of Newton’s Method SOLVING the System of Linear ALGEBRAIC Equations Convergence CHOICE of ITERATION Parameter

Symplectic multi-level method for solving nonlinear optimal control problem: 《Applied Mathematics and Mechanics(English Edition)》2010年第10期1251-1260,共10页彭海军高强吴志刚钟万勰; supported by the National Natural Science Foundation of China(Nos.10632030,10902020,and 10721062);the Research Fund for the Doctoral Program of Higher Education of China(No.20070141067);the Doctoral Fund of Liaoning Province(No.20081091);the Key Laboratory Fund of Liaoning Province of China(No.2009S018);the Young Researcher Funds of Dalian University of Technology(No.SFDUT07002); By converting an optimal control problem for nonlinear systems to a Hamiltonian system,a symplecitc-preserving method is proposed.The state and costate variables are approximated by the Lagrange polynomial.The state v...; 关键词：nonlinear optimal control dual variable variational principle multi-level iteration symplectic algorithm

Multisplitting Iteration Schemes for Solving a Class of Nonlinear Complementarity Problems: 《Acta Mathematicae Applicatae Sinica》2007年第1期79-90,共12页Chen-liang Li Jin-ping Zeng; The work was done in the state key laboratory of advanced design and manufacture for vehicle body of Hunan university;973 national project of China granted 2004CB719402;the National Natural Science Foundation of China(No.10371035); We consider several synchronous and asynchronous multisplitting iteration schemes for solving a class of nonlinear complementarity problems with the system matrix being an H-matrix. We establish the convergence theore...; 关键词：Nonlinear complementarity problems asynchronous iteration H-MATRIX multisplitting method

SOLVING CONTACT PROBLEM WITH FRICTION BY A NEW FAST BOUNDARY ELEMENT METHOD: 《Chinese Journal of Mechanical Engineering》1998年第3期38-43,共6页Huang, Qingxue Du, Qungui Shen, Guangxian; The formulation of boundary element method for handling contact problems with friction and the technique for high speed contact analysis are presented. This formulation is based on the idea of modifying the length of...; 关键词：Contact problem with friction Boundary element method High speed iteration

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