Pub Date : 2024-09-24DOI: 10.1080/03081087.2024.2404455
Lidia Aceto, Fabio Durastante
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...
在本文中，我们将重点讨论使用高斯-列根得二次方程规则计算矩阵对数时所产生的误差。这些公式可以解释为一个 s 的 Padé 近似值。
{"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":null,"pages":null},"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}
Pub Date : 2024-09-24DOI: 10.1080/03081087.2024.2405048
Lei Zhao, Jing Xu, Junjie Huang
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...
本文关注作用于巴拿赫空间 X 和 Y 的乘积中的单边耦合算子矩阵 A0 的封闭性（可封闭性）、本质谱和生成器性质。
{"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":null,"pages":null},"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}
Pub Date : 2024-09-20DOI: 10.1080/03081087.2024.2404446
M. Różański, R. Wituła, R. Słowik
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...
{"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":null,"pages":null},"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}
Pub Date : 2024-09-20DOI: 10.1080/03081087.2024.2405653
Sid Ahmed Ould Ahmed Mahmoud, Mohamed Amine Aouichaoui
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...
在本文中，我们以 Aouichaoui MA.的贡献为基础，扩展了 q 阶 m 部分等距和 (m,A) 等距的概念。[A note on partial-A-isometries and some applications.关于部分-A-等分线和一些应用的说明。
{"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":null,"pages":null},"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}
Pub Date : 2024-09-18DOI: 10.1080/03081087.2024.2404453
Sasmita Barik, Subhasish Behera, Steve Kirkland
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...
简单图 G 的最小正特征值 τ(G) 是其邻接矩阵 A(G) 的最小正特征值。在[F.J. Zhang and A. Chang, Acyclic molecules with greatest HOMO-LUMO s...
{"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":null,"pages":null},"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}
Pub Date : 2024-09-17DOI: 10.1080/03081087.2024.2404450
Ralph John L. de la Cruz, Raymond Louis S. Tañedo
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...
如果 A2=I, 则方阵 A 是一个内卷。方阵 S 的中心子用 C(S) 表示，是所有矩阵 A 的集合，使得 AS = SA。让 F 是一个代数闭域的符...
{"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":null,"pages":null},"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}
Pub Date : 2024-09-16DOI: 10.1080/03081087.2024.2404445
Wai Leong Chooi, Chin Yie Chua
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 ...
设 n⩾2 为整数，Nn(F) 为 F 域上 n×n 严格上三角矩阵的代数，中心为 Z(Nn(F))。在本文中，我们得到了加法矩阵的结构特征。
{"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":null,"pages":null},"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}
Pub Date : 2024-09-16DOI: 10.1080/03081087.2024.2404454
Dijana Mosić, Janko Marovt
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...
{"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":null,"pages":null},"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}
Pub Date : 2024-09-11DOI: 10.1080/03081087.2024.2400490
Lei Liu
Let A be a semi-finite factor von Neumann algebra. We prove that if a map δ:A→A satisfies that for any A,B∈A there is a linear derivation δA,B:A→A such that δ(A)B+Aδ(B)=δA,B(AB), then δ is a linear...
{"title":"On 2-local derivations of von Neumann algebras","authors":"Lei Liu","doi":"10.1080/03081087.2024.2400490","DOIUrl":"https://doi.org/10.1080/03081087.2024.2400490","url":null,"abstract":"Let A be a semi-finite factor von Neumann algebra. We prove that if a map δ:A→A satisfies that for any A,B∈A there is a linear derivation δA,B:A→A such that δ(A)B+Aδ(B)=δA,B(AB), then δ is a linear...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313600","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}
Pub Date : 2024-09-08DOI: 10.1080/03081087.2024.2400461
Xianya Geng, Mengxia Li, Xiaoxuan Chen, Long Wang
A digraph is called oriented if there is at most one arc between two distinct vertices. We call an oriented graph D is nonsingular if its adjacency matrix is nonsingular. In this paper, we characte...
如果两个不同的顶点之间最多只有一条弧，则称为定向图。如果有向图 D 的邻接矩阵是非ingingular 的，则称其为非ingingular 图。在本文中，我们将描述...
{"title":"Singularity of oriented tricyclic graphs","authors":"Xianya Geng, Mengxia Li, Xiaoxuan Chen, Long Wang","doi":"10.1080/03081087.2024.2400461","DOIUrl":"https://doi.org/10.1080/03081087.2024.2400461","url":null,"abstract":"A digraph is called oriented if there is at most one arc between two distinct vertices. We call an oriented graph D is nonsingular if its adjacency matrix is nonsingular. In this paper, we characte...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313637","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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