{"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}
{"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}
{"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}
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":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}
{"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}
{"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}
{"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}
{"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}
{"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}
{"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}