Pub Date : 2024-08-22DOI: 10.1080/02331934.2024.2394608
Landry Djomegne, Cyrille Kenne, René Dorville, Pascal Zongo
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 ...
在本文中，我们将分层策略应用于一个半线性弱退化抛物线方程，该方程的非线性取决于系统的解和...
{"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":"393 1","pages":""},"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}
Pub Date : 2024-08-22DOI: 10.1080/02331934.2024.2392209
Bernard Bonnard, Jérémy Rouot
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...
让 M 是维数 n≥2 的 σ-紧密 C∞ 流形，并考虑一个单输入控制系统：x˙(t)=X(x(t))+u(t)Y(x(t))，其中 X、Y 是 M 上的 C∞ 向量域。
{"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":"3 1","pages":""},"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}
Pub Date : 2024-08-20DOI: 10.1080/02331934.2024.2394094
Mohamed Mehdaoui, Mouhcine Tilioua
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...
{"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":"6 1","pages":""},"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}
Pub Date : 2024-08-19DOI: 10.1080/02331934.2024.2390119
Coralia Cartis, Maha H. Kaouri, Amos S. Lawless, Nancy K. Nichols
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...
{"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":"57 1","pages":""},"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}
Pub Date : 2024-08-16DOI: 10.1080/02331934.2024.2390114
Nicholas Pischke
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...
{"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":"10 1","pages":""},"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}
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...
本文针对无约束集合优化问题提出了非线性共轭梯度法，在这些问题中，目标函数由有限个连续可微分...
{"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":"11 1","pages":""},"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}
Pub Date : 2024-08-14DOI: 10.1080/02331934.2024.2392019
Lennin Mallma Ramirez, Nelson Maculan, Adilson Elias Xavier, Vinicius Layter Xavier
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...
{"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":"42 1","pages":""},"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}
Pub Date : 2024-08-14DOI: 10.1080/02331934.2024.2391004
Yekini Shehu, Lateef O. Jolaoso, C. C. Okeke, Renqi Xu
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...
{"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":"6 1","pages":""},"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}
Pub Date : 2024-08-14DOI: 10.1080/02331934.2024.2391006
Jerzy Grzybowski, Ryszard Urbański
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...
{"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":"57 1","pages":""},"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}
Pub Date : 2024-08-13DOI: 10.1080/02331934.2024.2391531
B. Kheirfam
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...
{"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":"2 1","pages":""},"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}
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