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An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems 一类非线性互补问题的乘法器的不精确交替方向法
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/naco.2020030
Jiewen He, Chi Lei, Chenyang Shi, Seakweng Vong
{"title":"An inexact alternating direction method of multipliers for a kind of nonlinear complementarity problems","authors":"Jiewen He, Chi Lei, Chenyang Shi, Seakweng Vong","doi":"10.3934/naco.2020030","DOIUrl":"https://doi.org/10.3934/naco.2020030","url":null,"abstract":"Many kinds of practical problems can be formulated as nonlinear complementarity problems. In this paper, an inexact alternating direction method of multipliers for the solution of a kind of nonlinear complementarity problems is proposed. The convergence analysis of the method is given. Numerical results confirm the theoretical analysis, and show that the proposed method can be more efficient and faster than the modulus-based Jacobi, Gauss-Seidel and Successive Overrelaxation method when the dimension of the problem being solved is large.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"12 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84801667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
A quadrature rule of Lobatto-Gaussian for numerical integration of analytic functions 解析函数数值积分的Lobatto-Gaussian求积分规则
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/naco.2021031
Sanjit Kumar Mohanty, R. B. Dash
{"title":"A quadrature rule of Lobatto-Gaussian for numerical integration of analytic functions","authors":"Sanjit Kumar Mohanty, R. B. Dash","doi":"10.3934/naco.2021031","DOIUrl":"https://doi.org/10.3934/naco.2021031","url":null,"abstract":"A novel quadrature rule is formed combining Lobatto six point transformed rule and Gauss-Legendre five point transformed rule each having precision nine. The mixed rule so formed is of precision eleven. Through asymptotic error estimation the novelty of the quadrature rule is justified. Some test integrals have been evaluated using the mixed rule and its constituents both in non-adaptive and adaptive modes. The results are found to be quite encouraging for the mixed rule which is in conformation with the theoretical prediction.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"5 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78230084","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Application of survival theory in Mining industry 生存理论在矿业中的应用
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/naco.2020036
E. Rentsen, N. Tungalag, J. Enkhbayar, O. Battogtokh, L. Enkhtuvshin
{"title":"Application of survival theory in Mining industry","authors":"E. Rentsen, N. Tungalag, J. Enkhbayar, O. Battogtokh, L. Enkhtuvshin","doi":"10.3934/naco.2020036","DOIUrl":"https://doi.org/10.3934/naco.2020036","url":null,"abstract":"The paper deals with an application of survival theory in mineral processing industry. We consider the problem of maximizing copper recovery and determine the best operating conditions based on survival theory. The survival of the system reduces to a problem of maximizing a radius of a sphere inscribed into a polyhedral set defined by the linear regression equations for a flotation process. To demonstrate the effectiveness of the proposed approach, we present a case study for the rougher flotation process of copper-molybdenum ores performed at the Erdenet Mining Corporation(Mongolia).","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"85 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73147731","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Analysis of Rayleigh Taylor instability in nanofluids with rotation 旋转纳米流体中瑞利-泰勒不稳定性分析
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/NACO.2021018
Pooja Girotra, J. Ahuja, D. Verma
{"title":"Analysis of Rayleigh Taylor instability in nanofluids with rotation","authors":"Pooja Girotra, J. Ahuja, D. Verma","doi":"10.3934/NACO.2021018","DOIUrl":"https://doi.org/10.3934/NACO.2021018","url":null,"abstract":"This article focuses on the hidden insights about the Rayleigh-Taylor instability of two superimposed horizontal layers of nanofluids having different densities in the presence of rotation factor. Conservation equations are subjected to linear perturbations and further analyzed by using the Normal Mode technique. A dispersion relation incorporating the effects of surface tension, Atwood number, rotation factor and volume fraction of nanoparticles is obtained. Using Routh-Hurtwitz criterion the stable and unstable modes of Rayleigh-Taylor instability are discussed in the presence/absence of nanoparticles and presented through graphs. It is observed that in the absence/presence of nanoparticles, surface tension helps to stabilize the system and Atwood number has a destabilizing impact without the consideration of rotation factor. But if rotation parameter is considered (in the absence/presence of nanoparticles) then surface tension destabilizes the system while Atwood number has a stabilization effect (for a particular range of wave number). The volume fraction of nanoparticles destabilizes the system in the absence of rotation but in the presence of rotation the stability of the system is significantly stimulated by the nanoparticles.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"9 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90650580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Consensus stability analysis for stochastic multi-agent systems with multiplicative measurement noises and Markovian switching topologies 具有乘性测量噪声和马尔可夫切换拓扑的随机多智能体系统的一致性稳定性分析
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/naco.2021024
Xiaojin Huang, Hongfu Yang, Jianhua Huang
{"title":"Consensus stability analysis for stochastic multi-agent systems with multiplicative measurement noises and Markovian switching topologies","authors":"Xiaojin Huang, Hongfu Yang, Jianhua Huang","doi":"10.3934/naco.2021024","DOIUrl":"https://doi.org/10.3934/naco.2021024","url":null,"abstract":"We investigate the consensus stability for linear stochastic multi-agent systems with multiplicative noises and Markovian random graphs and investigate the asymptotic consensus in the mean square sense for the systems. To establish the consensus stability for the systems, we analysis the consensus error systems by developing general stochastic differential equation with jumps, matrix theory and algebraic graph theory, and then show that the error consensus in the mean square sense finally tending to zero as time goes on is determined by the strongly connected property of union of topologies. Finally, we provide an example to demonstrate the effectiveness of our theoretical results.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"24 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82842501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings 一种逼近变分不等式公解和多值映射不动点问题的新迭代投影算法
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/NACO.2021004
A. O. Owolabi, T. O. Alakoya, A. Taiwo, O. Mewomo
{"title":"A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings","authors":"A. O. Owolabi, T. O. Alakoya, A. Taiwo, O. Mewomo","doi":"10.3934/NACO.2021004","DOIUrl":"https://doi.org/10.3934/NACO.2021004","url":null,"abstract":"In this paper, we present a new modified self-adaptive inertial subgradient extragradient algorithm in which the two projections are made onto some half spaces. Moreover, under mild conditions, we obtain a strong convergence of the sequence generated by our proposed algorithm for approximating a common solution of variational inequality problem and common fixed point of a finite family of demicontractive mappings in a real Hilbert space. The main advantages of our algorithm are: strong convergence result obtained without prior knowledge of the Lipschitz constant of the related monotone operator, the two projections made onto some half-spaces and the inertial technique which speeds up rate of convergence. Finally, we present an application and a numerical example to illustrate the usefulness and applicability of our algorithm.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"52 6 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83551449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 31
Solving nonlinear differential equations using hybrid method between Lyapunov's artificial small parameter and continuous particle swarm optimization 用Lyapunov人工小参数与连续粒子群优化的混合方法求解非线性微分方程
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/NACO.2021001
O. Qasim, Ahmed Entesar, W. Al-Hayani
{"title":"Solving nonlinear differential equations using hybrid method between Lyapunov's artificial small parameter and continuous particle swarm optimization","authors":"O. Qasim, Ahmed Entesar, W. Al-Hayani","doi":"10.3934/NACO.2021001","DOIUrl":"https://doi.org/10.3934/NACO.2021001","url":null,"abstract":"In this paper, Lyapunov's artificial small parameter method (LASPM) with continuous particle swarm optimization (CPSO) is presented and used for solving nonlinear differential equations. The proposed method, LASPM-CPSO, is based on estimating the begin{document}$ varepsilon $end{document} parameter in LASPM through a PSO algorithm and based on a proposed objective function. Three different examples are used to evaluate the proposed method LASPM-CPSO, and compare it with the classical method LASPM through different intervals of the domain. The results from the maximum absolute error (MAE) and mean squared error (MSE) obtained through the given examples show the reliability and efficiency of the proposed LASPM-CPSO method, compared to the classical method LASPM.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"382 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80707230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A novel hybrid AGWO-PSO algorithm in mitigation of power network oscillations with STATCOM 一种新型混合AGWO-PSO算法在STATCOM抑制电网振荡中的应用
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/NACO.2020057
R. Devarapalli, B. Bhattacharyya
{"title":"A novel hybrid AGWO-PSO algorithm in mitigation of power network oscillations with STATCOM","authors":"R. Devarapalli, B. Bhattacharyya","doi":"10.3934/NACO.2020057","DOIUrl":"https://doi.org/10.3934/NACO.2020057","url":null,"abstract":"The assimilation of flexible AC transmission (FACTS) controllers to the existing power network outweigh the numerous alternatives in enhancing the damping behavior for the inter-area /intra-area system oscillations of a power network. This paper provides a rigorous analysis in damping of oscillations in a power network. It utilizes a shunt connected voltage source converter (VSC) based FACTS device to enhance the system operating characteristics. A comprehensive system mathematical modelling has been developed for demonstrating the system behavior under different loading conditions. A novel hybrid augmented grey wolf optimization-particle swarm optimization (AGWO-PSO) is proposed for the coordinated design of controllers static synchronous compensator (STATCOM) and power system stabilizers (PSSs). A multi-objective function, comprising damping ratio improvement and drifting the real part to the left-hand side of S-plane of the system poles, has been developed to achieve the objective and the effectiveness of the proposed algorithms have been analyzed by monitoring the system performance under different loading conditions. Eigenvalue analysis and damping nature of the system states under perturbation have been presented for the proposed algorithms under different loading conditions, and the performance evaluation of the proposed algorithms have been done by means of time of execution and the convergence characteristics.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"24 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78366698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
The proximal methods for solving absolute value equation 求解绝对值方程的近似方法
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/naco.2020037
Samira Shahsavari, S. Ketabchi
{"title":"The proximal methods for solving absolute value equation","authors":"Samira Shahsavari, S. Ketabchi","doi":"10.3934/naco.2020037","DOIUrl":"https://doi.org/10.3934/naco.2020037","url":null,"abstract":"In this paper, by considering that the objective function of the least squares NP-hard absolute value equations (AVE) begin{document}$ Ax-vert xvert = b $end{document} , is non-convex and non-smooth, two types of proximal algorithms are proposed to solve it. One of them is the proximal difference-of-convex algorithm with extrapolation and another is the proximal subgradient method. The convergence results of the proposed methods are proved under certain assumptions. Moreover, a numerical comparison is presented to demonstrate the effectiveness of the suggested methods.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"255 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75548907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Direct method to solve linear-quadratic optimal control problems 直接法求解线性二次最优控制问题
IF 1.3
Numerical Algebra Control and Optimization Pub Date : 2021-01-01 DOI: 10.3934/NACO.2021002
M. Aliane, Mohand Bentobache, N. Moussouni, P. Marthon
{"title":"Direct method to solve linear-quadratic optimal control problems","authors":"M. Aliane, Mohand Bentobache, N. Moussouni, P. Marthon","doi":"10.3934/NACO.2021002","DOIUrl":"https://doi.org/10.3934/NACO.2021002","url":null,"abstract":"In this work, we have proposed a new approach for solving the linear-quadratic optimal control problem, where the quality criterion is a quadratic function, which can be convex or non-convex. In this approach, we transform the continuous optimal control problem into a quadratic optimization problem using the Cauchy discretization technique, then we solve it with the active-set method. In order to study the efficiency and the accuracy of the proposed approach, we developed an implementation with MATLAB, and we performed numerical experiments on several convex and non-convex linear-quadratic optimal control problems. The obtained simulation results show that our method is more accurate and more efficient than the method using the classical Euler discretization technique. Furthermore, it was shown that our method fastly converges to the optimal control of the continuous problem found analytically using the Pontryagin's maximum principle.","PeriodicalId":44957,"journal":{"name":"Numerical Algebra Control and Optimization","volume":"59 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80217227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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