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Advances in Pure and Applied Mathematics最新文献

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A Count Sketch Maximal Weighted Residual Kaczmarz Method with Oblique Projection for Highly Overdetermined Linear Systems 高度过定线性系统的斜投影计数草图最大加权残差Kaczmarz方法
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.124020
Peng Zhang, Longyan Li, Pingping Zhang
{"title":"A Count Sketch Maximal Weighted Residual Kaczmarz Method with Oblique Projection for Highly Overdetermined Linear Systems","authors":"Peng Zhang, Longyan Li, Pingping Zhang","doi":"10.4236/apm.2022.124020","DOIUrl":"https://doi.org/10.4236/apm.2022.124020","url":null,"abstract":"Motivated by the count sketch maximal weighted residual Kaczmarz (CSMWRK) method presented by Zhang and Li (Appl. Math. Comput., 410, 126486), we combine the count sketch tech with the maximal weighted residual Kaczmarz Method with Oblique Projection (MWRKO) constructed by Wang, Li, Bao and Liu (arXiv: 2106.13606) to develop a new method for solving highly overdetermined linear systems. The convergence rate of the new method is analyzed. Numerical results demonstrate that our method performs better in computing time compared with the CS-MWRK and MWRKO methods.","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"80 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83854535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Representations of Ten-Dimensional Levi Decomposition Lie Algebras 十维李维分解李代数的表示
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.124022
Nmcd Bandara, G. Thompson
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引用次数: 0
Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings 广义幂级数环的幂零元与零自反性质
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.1211051
E. Ali
{"title":"Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings","authors":"E. Ali","doi":"10.4236/apm.2022.1211051","DOIUrl":"https://doi.org/10.4236/apm.2022.1211051","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"17 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85261440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Asymptotic Extremal Distribution for Non-Stationary, Strongly-Dependent Data 非平稳强相关数据的渐近极值分布
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.128036
C. Crisci, G. Perera
{"title":"Asymptotic Extremal Distribution for Non-Stationary, Strongly-Dependent Data","authors":"C. Crisci, G. Perera","doi":"10.4236/apm.2022.128036","DOIUrl":"https://doi.org/10.4236/apm.2022.128036","url":null,"abstract":"The statistical analysis of extreme values has a wide and vast domain of applications on many disciplines. Extreme wind speeds are a key input for design in Structural Engineering, maximun levels of traffic are crucial for design and operation in Telecommunications Networks, maximun tides are essential for any policy concerning coast resources mangement, extreme events on chemical, physical or biological conditions may affect dramatically very sensitive ecosystems, etc.([2], [4]. [5], [8],[9],[10], [17]).","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"26 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82607446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Transformation Semigroup of Alternating Nonnegative Integers 交替非负整数的变换半群
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.1211047
A. Adeniji, Janet Ifiok Obafemi
{"title":"Transformation Semigroup of Alternating Nonnegative Integers","authors":"A. Adeniji, Janet Ifiok Obafemi","doi":"10.4236/apm.2022.1211047","DOIUrl":"https://doi.org/10.4236/apm.2022.1211047","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"10 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81286745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Basic Topological Approach to the Continuity of the Size Function 尺寸函数连续性的基本拓扑方法
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.1210044
F. Dubeau
{"title":"A Basic Topological Approach to the Continuity of the Size Function","authors":"F. Dubeau","doi":"10.4236/apm.2022.1210044","DOIUrl":"https://doi.org/10.4236/apm.2022.1210044","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"22 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86751215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Classes of Bounded Sets in Quasi-Metric Spaces 拟度量空间中的几类有界集合
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.1212053
D. Mukonda, L. K. Matindih, Edwin Moyo
{"title":"Some Classes of Bounded Sets in Quasi-Metric Spaces","authors":"D. Mukonda, L. K. Matindih, Edwin Moyo","doi":"10.4236/apm.2022.1212053","DOIUrl":"https://doi.org/10.4236/apm.2022.1212053","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"5 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75056009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation of an Integral Markov Process Arising in the Approximation of Stochastic Differential Equation 随机微分方程逼近中出现的积分马尔可夫过程的逼近
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.121003
M. Rahman
{"title":"Approximation of an Integral Markov Process Arising in the Approximation of Stochastic Differential Equation","authors":"M. Rahman","doi":"10.4236/apm.2022.121003","DOIUrl":"https://doi.org/10.4236/apm.2022.121003","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"42 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73363722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Distributed Alternating Direction Method of Multipliers for Multi-Objective Optimization 多目标优化乘法器的分布交替方向法
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.124019
Hui Deng, Yangdong Xu
{"title":"Distributed Alternating Direction Method of Multipliers for Multi-Objective Optimization","authors":"Hui Deng, Yangdong Xu","doi":"10.4236/apm.2022.124019","DOIUrl":"https://doi.org/10.4236/apm.2022.124019","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"30 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72799717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multipliers and Classification of m-Möbius Transformations m-Möbius变换的乘数和分类
IF 0.4
Advances in Pure and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.4236/apm.2022.126033
D. Ghisa, Eric Mikulin
{"title":"Multipliers and Classification of <i>m</i>-Möbius Transformations","authors":"D. Ghisa, Eric Mikulin","doi":"10.4236/apm.2022.126033","DOIUrl":"https://doi.org/10.4236/apm.2022.126033","url":null,"abstract":"","PeriodicalId":43512,"journal":{"name":"Advances in Pure and Applied Mathematics","volume":"62 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76128806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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