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The Jordan algebraic structure of the rotated quadratic cone 旋转二次锥的约旦代数结构
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-21 DOI: 10.1080/03081087.2024.2313629
Baha Alzalg, Karima Tamsaouete, Lilia Benakkouche, Ayat Ababneh
{"title":"The Jordan algebraic structure of the rotated quadratic cone","authors":"Baha Alzalg, Karima Tamsaouete, Lilia Benakkouche, Ayat Ababneh","doi":"10.1080/03081087.2024.2313629","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313629","url":null,"abstract":"In this paper, we look into the rotated quadratic cone and analyze its algebraic structure. We construct an algebra associated with this cone and show that this algebra is a Euclidean Jordan algebr...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140188947","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
Ordering of graphs with fixed size and diameter by Aα-spectral radii 用 Aα 谱半径对具有固定大小和直径的图排序
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-21 DOI: 10.1080/03081087.2024.2329197
Wei Wei, Zhimin Feng
{"title":"Ordering of graphs with fixed size and diameter by Aα-spectral radii","authors":"Wei Wei, Zhimin Feng","doi":"10.1080/03081087.2024.2329197","DOIUrl":"https://doi.org/10.1080/03081087.2024.2329197","url":null,"abstract":"The Aα-matrix of a graph G is defined as the convex linear combination of the adjacency matrix A(G) and the diagonal matrix of degrees D(G), i.e. Aα(G)=αD(G)+(1−α)A(G) with α∈[0,1]. The maximum mod...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140192668","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 kernels of powers of linear operator via Weyr characteristic 通过韦尔特征的线性算子幂的内核
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-19 DOI: 10.1080/03081087.2024.2327004
Jie Jian, Jun Liao, Heguo Liu
{"title":"The kernels of powers of linear operator via Weyr characteristic","authors":"Jie Jian, Jun Liao, Heguo Liu","doi":"10.1080/03081087.2024.2327004","DOIUrl":"https://doi.org/10.1080/03081087.2024.2327004","url":null,"abstract":"The adjoint of a matrix in the Lie algebra associated with a matrix algebra is a fundamental operator, which can be generalized to a more general operator φAB:X→AX−XB by two matrices A and B. The k...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140192659","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
Generalizing Choi map in M3 beyond circulant scenario M3 中超越环状情景的蔡氏图谱泛化
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-18 DOI: 10.1080/03081087.2024.2326249
Anindita Bera, Giovanni Scala, Gniewomir Sarbicki, Dariusz Chruściński
{"title":"Generalizing Choi map in M3 beyond circulant scenario","authors":"Anindita Bera, Giovanni Scala, Gniewomir Sarbicki, Dariusz Chruściński","doi":"10.1080/03081087.2024.2326249","DOIUrl":"https://doi.org/10.1080/03081087.2024.2326249","url":null,"abstract":"We introduce a family of positive linear maps in the algebra of 3×3 complex matrices, which generalizes the seminal positive non-decomposable map originally proposed by Choi. Necessary and sufficie...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140145975","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
On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators 关于里亚普诺夫和斯坦因算子的奇异 M 矩属性的一个类比
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-12 DOI: 10.1080/03081087.2024.2313633
A.M. Encinas, S. Mondal, K.C. Sivakumar
{"title":"On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators","authors":"A.M. Encinas, S. Mondal, K.C. Sivakumar","doi":"10.1080/03081087.2024.2313633","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313633","url":null,"abstract":"A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this re...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140142081","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
Modified CRI iteration methods for complex symmetric indefinite linear systems 复杂对称不定线性系统的修正 CRI 迭代方法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-12 DOI: 10.1080/03081087.2024.2325117
Zhao-Zheng Liang, Yan Dou
{"title":"Modified CRI iteration methods for complex symmetric indefinite linear systems","authors":"Zhao-Zheng Liang, Yan Dou","doi":"10.1080/03081087.2024.2325117","DOIUrl":"https://doi.org/10.1080/03081087.2024.2325117","url":null,"abstract":"This work investigates the iterative solution of complex symmetric linear systems with indefinite matrix term. Based on a technical equivalent reformulation of the original indefinite systems, an e...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140142091","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
Countably many asymptotic tensor ranks 可数的渐近张量等级
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-12 DOI: 10.1080/03081087.2024.2317906
Andreas Blatter, Jan Draisma, Filip Rupniewski
{"title":"Countably many asymptotic tensor ranks","authors":"Andreas Blatter, Jan Draisma, Filip Rupniewski","doi":"10.1080/03081087.2024.2317906","DOIUrl":"https://doi.org/10.1080/03081087.2024.2317906","url":null,"abstract":"In connection with recent work on gaps in the asymptotic subranks of complex tensors the question arose whether the number of nonnegative real numbers that arise as the asymptotic subrank of some c...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140142082","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
Rank one quaternionic operators and additive preservers 秩一四元数算子和加法保值器
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-11 DOI: 10.1080/03081087.2024.2324389
E. M. Ouahabi, K. Souilah
{"title":"Rank one quaternionic operators and additive preservers","authors":"E. M. Ouahabi, K. Souilah","doi":"10.1080/03081087.2024.2324389","DOIUrl":"https://doi.org/10.1080/03081087.2024.2324389","url":null,"abstract":"In this paper, we completely describe all additive surjective maps, on the set of all bounded finite rank right linear operators acting on a right quaternionic Banach space, that preserve the set o...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140104707","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
Distance spectral radius and fractional matching in t-connected graphs t 连接图中的距离谱半径和分数匹配
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-04 DOI: 10.1080/03081087.2024.2306329
Yanling Hu, Huiqiu Lin, Yuke Zhang, Zhiguo Zhang
{"title":"Distance spectral radius and fractional matching in t-connected graphs","authors":"Yanling Hu, Huiqiu Lin, Yuke Zhang, Zhiguo Zhang","doi":"10.1080/03081087.2024.2306329","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306329","url":null,"abstract":"A fractional matching of a graph G is a function f assigning each edge a number in [0,1] so that ∑e∈Γ(v)f(e)≤1 for each v∈V(G), where Γ(v) is the set of edges incident to v. The fractional matching...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140043264","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
Lie triple centralizers of the algebra of dominant block upper triangular matrices 主块上三角矩阵代数的列三中心子
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-04 DOI: 10.1080/03081087.2024.2325672
Prakash Ghimire, Magdalena Benavides, Sheral King, Lavona Young
{"title":"Lie triple centralizers of the algebra of dominant block upper triangular matrices","authors":"Prakash Ghimire, Magdalena Benavides, Sheral King, Lavona Young","doi":"10.1080/03081087.2024.2325672","DOIUrl":"https://doi.org/10.1080/03081087.2024.2325672","url":null,"abstract":"Let N be the algebra of all n×n dominant block upper triangular matrices over a field. In this paper, we explicitly describe all Lie triple centralizers of N. We also describe Lie triple centralize...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140064285","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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