Pub Date : 2023-11-11DOI: 10.1007/s40314-023-02492-7
Huipo Liu
{"title":"A posteriori error estimates of a DG method for optimal control problems governed by the transport equation","authors":"Huipo Liu","doi":"10.1007/s40314-023-02492-7","DOIUrl":"https://doi.org/10.1007/s40314-023-02492-7","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"14 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135043853","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 : 2023-11-10DOI: 10.1007/s40314-023-02494-5
Zohre Aminifard, Saman Babaie–Kafaki
{"title":"A diagonally scaled Newton-type proximal method for minimization of the models with nonsmooth composite cost functions","authors":"Zohre Aminifard, Saman Babaie–Kafaki","doi":"10.1007/s40314-023-02494-5","DOIUrl":"https://doi.org/10.1007/s40314-023-02494-5","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"20 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135092532","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 : 2023-11-10DOI: 10.1007/s40314-023-02486-5
Tong Ling, Xiaolei Tong, Luoyi Shi
{"title":"Two general splitting methods with alternated inertia for solving split equality problem in Hilbert spaces","authors":"Tong Ling, Xiaolei Tong, Luoyi Shi","doi":"10.1007/s40314-023-02486-5","DOIUrl":"https://doi.org/10.1007/s40314-023-02486-5","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"117 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135136774","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 : 2023-11-06DOI: 10.1007/s40314-023-02489-2
Jingpu Chang, Bao Qing Hu
{"title":"On $$(G_O,O)-$$fuzzy rough sets based on overlap and grouping functions over complete lattices","authors":"Jingpu Chang, Bao Qing Hu","doi":"10.1007/s40314-023-02489-2","DOIUrl":"https://doi.org/10.1007/s40314-023-02489-2","url":null,"abstract":"","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"31 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135679129","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}
Abstract The main purpose of this paper is to propose and study a two-step inertial anchored version of the forward–reflected–backward splitting algorithm of Malitsky and Tam in a real Hilbert space. Our proposed algorithm converges strongly to a zero of the sum of a set-valued maximal monotone operator and a single-valued monotone Lipschitz continuous operator. It involves only one forward evaluation of the single-valued operator and one backward evaluation of the set-valued operator at each iteration; a feature that is absent in many other available strongly convergent splitting methods in the literature. Finally, we perform numerical experiments involving image restoration problem and compare our algorithm with known related strongly convergent splitting algorithms in the literature.
{"title":"Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems","authors":"Chinedu Izuchukwu, Maggie Aphane, Kazeem Olalekan Aremu","doi":"10.1007/s40314-023-02485-6","DOIUrl":"https://doi.org/10.1007/s40314-023-02485-6","url":null,"abstract":"Abstract The main purpose of this paper is to propose and study a two-step inertial anchored version of the forward–reflected–backward splitting algorithm of Malitsky and Tam in a real Hilbert space. Our proposed algorithm converges strongly to a zero of the sum of a set-valued maximal monotone operator and a single-valued monotone Lipschitz continuous operator. It involves only one forward evaluation of the single-valued operator and one backward evaluation of the set-valued operator at each iteration; a feature that is absent in many other available strongly convergent splitting methods in the literature. Finally, we perform numerical experiments involving image restoration problem and compare our algorithm with known related strongly convergent splitting algorithms in the literature.","PeriodicalId":50649,"journal":{"name":"Computational & Applied Mathematics","volume":"9 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135774682","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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