{"title":"A study on parameterized EM algorithm for linear image reconstruction problem and its convergent property","authors":"Caifang Wang, Xiaobin Xia, Gao Dan","doi":"10.61208/pjo-2023-023","DOIUrl":"https://doi.org/10.61208/pjo-2023-023","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A globally and superlinearly convergent BFGS methods is introduced to solve general nonlinear equations without computing exact gradient. Compared with existing Gauss-Newton-based BFGS type methods, the proposed method does not require conditions such as sysmmetry on the underlying function. Moreover, it can be suitably adjusted to solve nonlinear least squares problems and still guarantee global convergence. Some numerical results are reported are reported to show its efficiency.
{"title":"A BFGS method using inexact gradient for general nonlinear equations","authors":"ZHOU Weijun, ZHANG Li","doi":"10.61208/pjo-2023-027","DOIUrl":"https://doi.org/10.61208/pjo-2023-027","url":null,"abstract":"A globally and superlinearly convergent BFGS methods is introduced to solve general nonlinear equations without computing exact gradient. Compared with existing Gauss-Newton-based BFGS type methods, the proposed method does not require conditions such as sysmmetry on the underlying function. Moreover, it can be suitably adjusted to solve nonlinear least squares problems and still guarantee global convergence. Some numerical results are reported are reported to show its efficiency.","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135799528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Convergence and iteration-complexity of a primal-dual majorization-minimization method for large-scale linear programming","authors":"Liu Xin-Wei, Dai Yu-Hong, Huang Ya-Kui","doi":"10.61208/pjo-2023-034","DOIUrl":"https://doi.org/10.61208/pjo-2023-034","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135447034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimality Conditions for Directional Efficiency in Set-Valued Optimization","authors":"Maxim Diana-Elena","doi":"10.61208/pjo-2023-010","DOIUrl":"https://doi.org/10.61208/pjo-2023-010","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278656","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Null space property for compressed sensing with frames via l_q (0 < q ≤ 1) synthesis","authors":"Fengong Wu, Penghong Zhong","doi":"10.61208/pjo-2023-006","DOIUrl":"https://doi.org/10.61208/pjo-2023-006","url":null,"abstract":"","PeriodicalId":49716,"journal":{"name":"Pacific Journal of Optimization","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71278695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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