{"title":"Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity","authors":"Tonglin Wang, Jikun Zhao","doi":"10.11650/tjm/230205","DOIUrl":"https://doi.org/10.11650/tjm/230205","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47660476","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":"Singular Limit Solutions for a $4$-dimensional Emden–Fowler System of Liouville Type in Some General Case","authors":"Lilia Larbi, N. Trabelsi","doi":"10.11650/tjm/221202","DOIUrl":"https://doi.org/10.11650/tjm/221202","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41755212","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}
Yueting Yang, Xue Zhang, Guoling Zhou, Mingyuan Cao
{"title":"A Three-term Conjugate Gradient Method with a Random Parameter for Large-scale Unconstrained Optimization and its Application in Regression Model","authors":"Yueting Yang, Xue Zhang, Guoling Zhou, Mingyuan Cao","doi":"10.11650/tjm/230503","DOIUrl":"https://doi.org/10.11650/tjm/230503","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48125634","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":"A Modified Iterative Method for Solving the Non-symmetric Coupled Algebraic Riccati Equation","authors":"Li Wang, Yibo Wang","doi":"10.11650/tjm/231101","DOIUrl":"https://doi.org/10.11650/tjm/231101","url":null,"abstract":"In this paper, a modified alternately linear implicit (MALI) iteration method is derived for solving the non-symmetric coupled algebraic Riccati equation (NCARE). In the MALI iteration algorithm, the coefficient matrices of the linear matrix equations are fixed at each iteration step. In addition, the MALI iteration method utilizes a weighted average of the estimates in both the last step and current step to update the estimates in the next iteration step. Further, we give the convergence theory of the modified algorithm. Last, numerical examples demonstrate the effectiveness and feasibility of the derived algorithm.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660055","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":"Blow-up Phenomena for a Reaction-diffusion Equation with Nonlocal Gradient Terms","authors":"Su-Cheol Yi, Z. Fang","doi":"10.11650/tjm/230401","DOIUrl":"https://doi.org/10.11650/tjm/230401","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48729901","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":"Schwarz Lemma at the Boundary for Holomorphic and Pluriharmonic Mappings Between $p$-unit Balls","authors":"Jianfei Wang","doi":"10.11650/tjm/230902","DOIUrl":"https://doi.org/10.11650/tjm/230902","url":null,"abstract":"We give Schwarz lemma at the boundary for holomorphic mappings between $p$-unit ball $B_{p}^{n} subset mathbb{C}^{n}$ and $B_{p}^{N} subset mathbb{C}^{N}$, where $p geq 2$. When $p = 2$, this result reduces to that of Liu, Chen and Pan [21] between the Euclidean unit balls, and our method is new. By generalizing pluriharmonic Schwarz lemma of Chen and Gauthier [5] from $p = 2$ to $p geq 2$, we obtain the boundary Schwarz lemma for pluriharmonic mappings between $p$-unit balls.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"317 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135446552","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":"Existence of Solutions for Asymptotically Periodic Fractional $p$-Laplacian Equations","authors":"Shuwen He","doi":"10.11650/tjm/231102","DOIUrl":"https://doi.org/10.11650/tjm/231102","url":null,"abstract":"In this paper we study a class of asymptotically periodic fractional $p$-Laplacian equations. Under the suitable conditions, the existence of ground state solutions are obtained via the variational method.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"158 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135705338","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":"Chain Recurrence Rates and Topological Entropy of Free Semigroup Actions","authors":"Yanjie Tang, Xiaojiang Ye, Dongkui Ma","doi":"10.11650/tjm/230903","DOIUrl":"https://doi.org/10.11650/tjm/230903","url":null,"abstract":"In this paper, we first introduce the pseudo-entropy of free semigroup actions and show that it is equal to the topological entropy of free semigroup actions defined by Bufetov [9]. Second, for free semigroup actions, the concepts of chain recurrence and chain recurrence time, chain mixing and chain mixing time are introduced, and upper bounds for these recurrence times are calculated. Furthermore, the lower box dimension and the chain mixing time provide a lower bound on topological entropy of free semigroup actions. Third, the structure of chain transitive systems of free semigroup actions is discussed. Our analysis generalizes the results obtained by Misiurewicz [21], Richeson and Wiseman [23], and Bufetov [9] etc.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135650554","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}