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Least Squares Properties of Generalized Inverses 广义逆的最小二乘性质
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021-0011
global sci
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引用次数: 4
Preface 前言
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021.v37n4.preface
global sci
{"title":"Preface","authors":"global sci","doi":"10.4208/cmr.2021.v37n4.preface","DOIUrl":"https://doi.org/10.4208/cmr.2021.v37n4.preface","url":null,"abstract":"","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46340279","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
The Pseudo Drazin inverses in Banach Algebras Banach代数中的伪Drazin逆
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021-0013
Jianlong Chen
{"title":"The Pseudo Drazin inverses in Banach Algebras","authors":"Jianlong Chen","doi":"10.4208/cmr.2021-0013","DOIUrl":"https://doi.org/10.4208/cmr.2021-0013","url":null,"abstract":"Let A be a complex Banach algebra and J be the Jacobson radical of A . (1) We firstly show that a is generalized Drazin invertible in A if and only if a+ J is generalized Drazin invertible in A /J. Then we prove that a is pseudo Drazin invertible in A if and only if a+ J is Drazin invertible in A /J. As its application, the pseudo Drazin invertibility of elements in a Banach algebra is explored. (2) The pseudo Drazin order is introduced in A . We give the necessary and sufficient conditions under which elements in A have pseudo Drazin order, then we prove that the pseudo Drazin order is a pre-order. AMS subject classifications: 15A09, 16U90, 46H05","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48556321","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
Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product 基于t积的张量加权t核- ep逆的扰动
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021-0052
Yuhang Liu & HaifengMa
{"title":"Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product","authors":"Yuhang Liu & HaifengMa","doi":"10.4208/cmr.2021-0052","DOIUrl":"https://doi.org/10.4208/cmr.2021-0052","url":null,"abstract":"","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43829295","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: 4
Global Solutions of Modified One-Dimensional Schrödinger Equation 修正一维Schrödinger方程的全局解
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021-0015
Ting Zhang
{"title":"Global Solutions of Modified One-Dimensional Schrödinger Equation","authors":"Ting Zhang","doi":"10.4208/cmr.2021-0015","DOIUrl":"https://doi.org/10.4208/cmr.2021-0015","url":null,"abstract":"In this paper, we consider the modified one-dimensional Schrödinger equation: ( Dt−F(D) ) u=λ|u|u, where F(ξ) is a second order constant coefficients classical elliptic symbol, and with smooth initial datum of size ε≪1. We prove that the solution is global-intime, combining the vector fields method and a semiclassical analysis method introduced by Delort. Moreover, we get a one term asymptotic expansion for u when t→+∞. AMS subject classifications: Primary: 35Q55; Secondary: 35A01, 35B40, 35S50","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41443360","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
Spectral Properties of an Energy-Dependent Hamiltonian 一个能量相关哈密顿量的谱性质
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/CMR.2020-0040
P. Ducomet
{"title":"Spectral Properties of an Energy-Dependent Hamiltonian","authors":"P. Ducomet","doi":"10.4208/CMR.2020-0040","DOIUrl":"https://doi.org/10.4208/CMR.2020-0040","url":null,"abstract":"","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44497390","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
Further Results on the Drazin Inverse of Tensors via Einstein Product 关于张量Drazin逆的Einstein乘积的进一步结果
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021-0014
Chunmeng Liu
{"title":"Further Results on the Drazin Inverse of Tensors via Einstein Product","authors":"Chunmeng Liu","doi":"10.4208/cmr.2021-0014","DOIUrl":"https://doi.org/10.4208/cmr.2021-0014","url":null,"abstract":"","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42402039","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
A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization 基于部分满秩分解计算矩阵Drazin逆和Core-EP逆的有限方法
数学研究通讯 Pub Date : 2021-06-01 DOI: 10.4208/cmr.2021-0008
X. Junji
{"title":"A Finite Method for Computing the Drazin and Core-EP Inverses of Matrices Based on Partial Full-Rank Factorization","authors":"X. Junji","doi":"10.4208/cmr.2021-0008","DOIUrl":"https://doi.org/10.4208/cmr.2021-0008","url":null,"abstract":"","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48880783","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
Global Weak Solutions for Compressible Navier-Stokes-Vlasov-Fokker-Planck System 可压缩Navier-Stokes-Vlasov-Fokker-Planck系统的全局弱解
数学研究通讯 Pub Date : 2021-03-30 DOI: 10.4208/cmr.2021-0039
Hai-liang Li, Ling-Yun Shou
{"title":"Global Weak Solutions for Compressible Navier-Stokes-Vlasov-Fokker-Planck System","authors":"Hai-liang Li, Ling-Yun Shou","doi":"10.4208/cmr.2021-0039","DOIUrl":"https://doi.org/10.4208/cmr.2021-0039","url":null,"abstract":"The one-dimensional compressible Navier-Stokes-Vlasov-Fokker-Planck system with density-dependent viscosity and drag force coefficients is investigated in the present paper. The existence, uniqueness, and regularity of global weak solution to the initial value problem for general initial data are established in spatial periodic domain. Moreover, the long time behavior of the weak solution is analyzed. It is shown that as the time grows, the distribution function of the particles converges to the global Maxwellian, and both the fluid velocity and the macroscopic velocity of the particles converge to the same speed.","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48734036","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
Generalized Cyclotomic Mappings: Switching Between Polynomial, Cyclotomic, and Wreath Product Form 广义环形映射:多项式、环形和环积形式之间的切换
数学研究通讯 Pub Date : 2021-03-01 DOI: 10.4208/cmr.2021-0029
Alexander Bors, Qiang Wang
{"title":"Generalized Cyclotomic Mappings: Switching Between Polynomial, Cyclotomic, and Wreath Product Form","authors":"Alexander Bors, Qiang Wang","doi":"10.4208/cmr.2021-0029","DOIUrl":"https://doi.org/10.4208/cmr.2021-0029","url":null,"abstract":"This paper is concerned with so-called index d generalized cyclotomic mappings of a finite field Fq, which are functions Fq → Fq that agree with a suitable monomial function x 7→ axr on each coset of the index d subgroup of Fq. We discuss two important rewriting procedures in the context of generalized cyclotomic mappings and present applications thereof that concern index d generalized cyclotomic permutations of Fq and pertain to cycle structures, the classification of (q − 1)-cycles and involutions, as well as inversion.","PeriodicalId":66427,"journal":{"name":"数学研究通讯","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516502","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
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