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Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term 带梯度项的半线性退化抛物方程的分层无效可控性
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-22 DOI: 10.1080/02331934.2024.2394608
Landry Djomegne, Cyrille Kenne, René Dorville, Pascal Zongo
{"title":"Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term","authors":"Landry Djomegne, Cyrille Kenne, René Dorville, Pascal Zongo","doi":"10.1080/02331934.2024.2394608","DOIUrl":"https://doi.org/10.1080/02331934.2024.2394608","url":null,"abstract":"In this paper, we apply a hierarchical strategy to a semilinear weakly degenerate parabolic equation with non-linearity that depends on the solution of the system and the spatial derivative of the ...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Feedback classification and optimal control with applications to the controlled Lotka–Volterra model 反馈分类和最优控制，应用于受控洛特卡-沃尔特拉模型
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-22 DOI: 10.1080/02331934.2024.2392209
Bernard Bonnard, Jérémy Rouot
{"title":"Feedback classification and optimal control with applications to the controlled Lotka–Volterra model","authors":"Bernard Bonnard, Jérémy Rouot","doi":"10.1080/02331934.2024.2392209","DOIUrl":"https://doi.org/10.1080/02331934.2024.2392209","url":null,"abstract":"Let M be a σ-compact C∞ manifold of dimension n≥2 and consider a single-input control system: x˙(t)=X(x(t))+u(t)Y(x(t)), where X, Y are C∞ vector fields on M. We prove that there exists an open set...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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 optimal cross-diffusive control for a class of spatio-temporal predator-prey models 一类时空捕食者-猎物模型的新优化交叉扩散控制
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-20 DOI: 10.1080/02331934.2024.2394094
Mohamed Mehdaoui, Mouhcine Tilioua
{"title":"A new optimal cross-diffusive control for a class of spatio-temporal predator-prey models","authors":"Mohamed Mehdaoui, Mouhcine Tilioua","doi":"10.1080/02331934.2024.2394094","DOIUrl":"https://doi.org/10.1080/02331934.2024.2394094","url":null,"abstract":"We investigate a new optimal control problem for a class of quasilinear parabolic predator-prey models encompassing spatio-temporal aspects and featuring a bounded class of nonlinear functional res...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergent least-squares optimization methods for variational data assimilation 变分数据同化的收敛最小二乘优化方法
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-19 DOI: 10.1080/02331934.2024.2390119
Coralia Cartis, Maha H. Kaouri, Amos S. Lawless, Nancy K. Nichols
{"title":"Convergent least-squares optimization methods for variational data assimilation","authors":"Coralia Cartis, Maha H. Kaouri, Amos S. Lawless, Nancy K. Nichols","doi":"10.1080/02331934.2024.2390119","DOIUrl":"https://doi.org/10.1080/02331934.2024.2390119","url":null,"abstract":"Data assimilation combines prior (or background) information with observations to estimate the initial state of a dynamical system over a given time-window. A common application is in numerical wea...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Fejér monotone sequences and their finitary content 广义费热尔单调序列及其有限内容
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-16 DOI: 10.1080/02331934.2024.2390114
Nicholas Pischke
{"title":"Generalized Fejér monotone sequences and their finitary content","authors":"Nicholas Pischke","doi":"10.1080/02331934.2024.2390114","DOIUrl":"https://doi.org/10.1080/02331934.2024.2390114","url":null,"abstract":"We provide quantitative and abstract strong convergence results for sequences from a compact metric space satisfying a certain form of generalized Fejér monotonicity where (1) the metric can be rep...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear conjugate gradient methods for unconstrained set optimization problems whose objective functions have finite cardinality 非线性共轭梯度法用于目标函数具有有限数量的无约束集合优化问题
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-14 DOI: 10.1080/02331934.2024.2390116
Krishan Kumar, Debdas Ghosh, Jen-Chih Yao, Xiaopeng Zhao
{"title":"Nonlinear conjugate gradient methods for unconstrained set optimization problems whose objective functions have finite cardinality","authors":"Krishan Kumar, Debdas Ghosh, Jen-Chih Yao, Xiaopeng Zhao","doi":"10.1080/02331934.2024.2390116","DOIUrl":"https://doi.org/10.1080/02331934.2024.2390116","url":null,"abstract":"In this paper, we propose nonlinear conjugate gradient methods for unconstrained set optimization problems in which the objective function is given by a finite number of continuously differentiable...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization 非凸优化的错位双曲增强拉格朗日算法的全局收敛性
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-14 DOI: 10.1080/02331934.2024.2392019
Lennin Mallma Ramirez, Nelson Maculan, Adilson Elias Xavier, Vinicius Layter Xavier
{"title":"Global convergence of dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization","authors":"Lennin Mallma Ramirez, Nelson Maculan, Adilson Elias Xavier, Vinicius Layter Xavier","doi":"10.1080/02331934.2024.2392019","DOIUrl":"https://doi.org/10.1080/02331934.2024.2392019","url":null,"abstract":"In this work, we present a new augmented Lagrangian type algorithm based on the dislocation hyperbolic augmented Lagrangian function (DHALF). This algorithm is called dislocation hyperbolic augment...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Outer reflected forward–backward splitting algorithm with inertial extrapolation step 带惯性外推步骤的外反射前向后向分割算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-14 DOI: 10.1080/02331934.2024.2391004
Yekini Shehu, Lateef O. Jolaoso, C. C. Okeke, Renqi Xu
{"title":"Outer reflected forward–backward splitting algorithm with inertial extrapolation step","authors":"Yekini Shehu, Lateef O. Jolaoso, C. C. Okeke, Renqi Xu","doi":"10.1080/02331934.2024.2391004","DOIUrl":"https://doi.org/10.1080/02331934.2024.2391004","url":null,"abstract":"This paper studies an outer reflected forward–backward splitting algorithm with an inertial step to find a zero of the sum of three monotone operators composing the maximal monotone operator, Lipsc...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185928","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Minimally fine exhausters 微细排气装置
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-14 DOI: 10.1080/02331934.2024.2391006
Jerzy Grzybowski, Ryszard Urbański
{"title":"Minimally fine exhausters","authors":"Jerzy Grzybowski, Ryszard Urbański","doi":"10.1080/02331934.2024.2391006","DOIUrl":"https://doi.org/10.1080/02331934.2024.2391006","url":null,"abstract":"In this article, we study upper exhausters of positively homogenous functions defined on locally convex space. We prove the existence of minimally fine exhauster finer than the given one. Such exha...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A long-step second-order corrector interior point algorithm for linear optimization based on the algebraic equivalent transformation 基于代数等价变换的线性优化长步长二阶校正器内点算法
IF 2.2 3区 数学
Optimization Pub Date : 2024-08-13 DOI: 10.1080/02331934.2024.2391531
B. Kheirfam
{"title":"A long-step second-order corrector interior point algorithm for linear optimization based on the algebraic equivalent transformation","authors":"B. Kheirfam","doi":"10.1080/02331934.2024.2391531","DOIUrl":"https://doi.org/10.1080/02331934.2024.2391531","url":null,"abstract":"In this paper, we present a new large-step primal-dual second-order corrector interior-point algorithm for linear optimization. This algorithm is based on the Nagy-Varga neighborhood of the central...","PeriodicalId":54671,"journal":{"name":"Optimization","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142185938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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