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Relationships between net regularity, strong regularity and walk regularity of signed graphs 有符号图形的净正则性、强正则性和走正则性之间的关系
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-30 DOI: 10.1080/03081087.2024.2405044
Milica Anđelić, Tamara Koledin, Zoran Stanić
{"title":"Relationships between net regularity, strong regularity and walk regularity of signed graphs","authors":"Milica Anđelić, Tamara Koledin, Zoran Stanić","doi":"10.1080/03081087.2024.2405044","DOIUrl":"https://doi.org/10.1080/03081087.2024.2405044","url":null,"abstract":"In this paper, we consider relationships between net-regular, strongly regular and walk-regular signed graphs. There is no inclusion between any two of these classes, and we investigate conditions ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"43 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142384071","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}
引用次数: 0
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants 用帕代近似法计算矩阵对数的理论误差估计
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-24 DOI: 10.1080/03081087.2024.2404455
Lidia Aceto, Fabio Durastante
{"title":"Theoretical error estimates for computing the matrix logarithm by Padé-type approximants","authors":"Lidia Aceto, Fabio Durastante","doi":"10.1080/03081087.2024.2404455","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404455","url":null,"abstract":"In this article, we focus on the error that is committed when computing the matrix logarithm using the Gauss–Legendre quadrature rules. These formulas can be interpreted as Padé approximants of a s...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"14 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142321823","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}
引用次数: 0
Gustafson, Jeribi, Weidmann and Wolf essential spectra and generator properties for one-sided coupled operator matrices 古斯塔夫森、杰里比、魏德曼和沃尔夫单边耦合算子矩阵的基本谱和生成器特性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-24 DOI: 10.1080/03081087.2024.2405048
Lei Zhao, Jing Xu, Junjie Huang
{"title":"Gustafson, Jeribi, Weidmann and Wolf essential spectra and generator properties for one-sided coupled operator matrices","authors":"Lei Zhao, Jing Xu, Junjie Huang","doi":"10.1080/03081087.2024.2405048","DOIUrl":"https://doi.org/10.1080/03081087.2024.2405048","url":null,"abstract":"This paper is concerned with the closedness (closability), essential spectra and generator properties for a one-sided coupled operator matrix A0 acting in a product of Banach spaces X and Y. By com...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313633","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}
引用次数: 0
Some new facts about linear maps that preserve the orthogonal group 关于保留正交群的线性映射的一些新事实
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-20 DOI: 10.1080/03081087.2024.2404446
M. Różański, R. Wituła, R. Słowik
{"title":"Some new facts about linear maps that preserve the orthogonal group","authors":"M. Różański, R. Wituła, R. Słowik","doi":"10.1080/03081087.2024.2404446","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404446","url":null,"abstract":"In this article, Albert Wei's result which described the forms of the linear maps that preserve the set of orthogonal matrices is treated and its new proof is provided. Wei's result is simplified b...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"65 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313634","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}
引用次数: 0
Advancements in the generalization of m-isometries: introducing the q-partial-(m, A)-isometry class 米等分线泛化的进展：引入 q-部分-（米，A）等分线类
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-20 DOI: 10.1080/03081087.2024.2405653
Sid Ahmed Ould Ahmed Mahmoud, Mohamed Amine Aouichaoui
{"title":"Advancements in the generalization of m-isometries: introducing the q-partial-(m, A)-isometry class","authors":"Sid Ahmed Ould Ahmed Mahmoud, Mohamed Amine Aouichaoui","doi":"10.1080/03081087.2024.2405653","DOIUrl":"https://doi.org/10.1080/03081087.2024.2405653","url":null,"abstract":"In this paper, we extend the concepts of m-partial isometry of order q and (m,A)-isometry, building on the contributions of Aouichaoui MA. [A note on partial-A-isometries and some applications. Qua...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"10 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313638","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}
引用次数: 0
Jordan derivations on Hilbert C*-modules 希尔伯特 C* 模块上的乔丹推导
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-18 DOI: 10.1080/03081087.2024.2404447
Huimin Chen, Xiaofei Qi
{"title":"Jordan derivations on Hilbert C*-modules","authors":"Huimin Chen, Xiaofei Qi","doi":"10.1080/03081087.2024.2404447","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404447","url":null,"abstract":"Assume that M is a Hilbert C∗-module over a C∗-algebra A and δ:M→M is a map. It is shown that if δ is A-linear, then the three statements are equivalent: (1) δ is a Jordan derivation; (2) δ is a de...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142384053","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}
引用次数: 0
Bipartite unicyclic graphs with a unique perfect matching having the smallest positive eigenvalue equal to 具有唯一完美匹配的二叉单环图，其最小正特征值等于
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-18 DOI: 10.1080/03081087.2024.2404453
Sasmita Barik, Subhasish Behera, Steve Kirkland
{"title":"Bipartite unicyclic graphs with a unique perfect matching having the smallest positive eigenvalue equal to","authors":"Sasmita Barik, Subhasish Behera, Steve Kirkland","doi":"10.1080/03081087.2024.2404453","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404453","url":null,"abstract":"The smallest positive eigenvalue τ(G) of a simple graph G is the smallest positive eigenvalue of its adjacency matrix A(G). In [F. J. Zhang and A. Chang, Acyclic molecules with greatest HOMO-LUMO s...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"22 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313589","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}
引用次数: 0
The products of involutions in the centralizer of a Weyr matrix with nonhomogeneous Weyr structure 具有非均质韦尔结构的韦尔矩阵中心子中的渐开线乘积
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-17 DOI: 10.1080/03081087.2024.2404450
Ralph John L. de la Cruz, Raymond Louis S. Tañedo
{"title":"The products of involutions in the centralizer of a Weyr matrix with nonhomogeneous Weyr structure","authors":"Ralph John L. de la Cruz, Raymond Louis S. Tañedo","doi":"10.1080/03081087.2024.2404450","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404450","url":null,"abstract":"A square matrix A is an involution if A2=I. The centralizer of a square matrix S, denoted by C(S), is the set of all matrices A such that AS = SA. Let F be an algebraically closed field of characte...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"21 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313635","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}
引用次数: 0
Strong commutativity preserving maps on rank k strictly triangular matrices k 级严格三角形矩阵上的强换向保值映射
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-16 DOI: 10.1080/03081087.2024.2404445
Wai Leong Chooi, Chin Yie Chua
{"title":"Strong commutativity preserving maps on rank k strictly triangular matrices","authors":"Wai Leong Chooi, Chin Yie Chua","doi":"10.1080/03081087.2024.2404445","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404445","url":null,"abstract":"Let n⩾2 be an integer and let Nn(F) be the algebra of n×n strictly upper triangular matrices over a field F with center Z(Nn(F)). In this paper, we obtain a structural characterization of additive ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"216 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142321821","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}
引用次数: 0
Weighted generalized core–EP inverse 加权广义核心-EP 逆
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-16 DOI: 10.1080/03081087.2024.2404454
Dijana Mosić, Janko Marovt
{"title":"Weighted generalized core–EP inverse","authors":"Dijana Mosić, Janko Marovt","doi":"10.1080/03081087.2024.2404454","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404454","url":null,"abstract":"To solve some systems of operator equations, we generalize the concepts of the W–weighted core–EP inverse, the W-gMP inverse, the generalized core–EP inverse and their duals and we define new kinds...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"15 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313571","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}
引用次数: 0
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