Linear Algebra and its Applications最新文献_第10页

On the Perron root and eigenvectors of a non-negative integer matrix 关于非负整数矩阵的佩伦根和特征向量

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-06-05 DOI: 10.1016/j.laa.2024.05.020

Nikita Agarwal , Haritha Cheriyath , Sharvari Neetin Tikekar

引用次数: 0

On some extensions of the Hua determinant inequality and a question of Poon 关于华行列式不等式的一些扩展和潘的一个问题

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-06-05 DOI: 10.1016/j.laa.2024.05.021

Minghua Lin

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Generalized unistochastic matrices 广义单随机矩阵

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-06-01 DOI: 10.1016/j.laa.2024.05.019

Ion Nechita, Zikun Ouyang, Anna Szczepanek

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The multilinear rank and core of trifocal Grassmann tensors 三焦格拉斯曼张量的多线性秩和核心

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-29 DOI: 10.1016/j.laa.2024.05.018

Marina Bertolini , GianMario Besana , Gilberto Bini , Cristina Turrini

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Symmetric nonnegative trifactorization of pattern matrices 模式矩阵的对称非负三因子化

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-28 DOI: 10.1016/j.laa.2024.05.017

Damjana Kokol Bukovšek, Helena Šmigoc

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Special issue in honor of Albrecht Böttcher 纪念阿尔布雷希特-博特尔特刊

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-27 DOI: 10.1016/j.laa.2024.05.016

Harm Bart (Special Issue Editor) , Torsten Ehrhardt (Special Issue Editor) , André Ran (Special Issue Editor) , Ilya Spitkovsky (Special Issue Editor)

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Nick Higham (1961–2024) 尼克-海勒姆（1961-2024）

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-27 DOI: 10.1016/j.laa.2024.05.005

Yuji Nakatsukasa, Vanni Noferini

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Advances on similarity via transversal intersection of manifolds 流形横交相似性研究进展

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-24 DOI: 10.1016/j.laa.2024.05.013

Marina Arav, Frank J. Hall, Hein van der Holst, Zhongshan Li, Aram Mathivanan, Jiamin Pan, Hanfei Xu, Zheng Yang

{"title":"Advances on similarity via transversal intersection of manifolds","authors":"Marina Arav, Frank J. Hall, Hein van der Holst, Zhongshan Li, Aram Mathivanan, Jiamin Pan, Hanfei Xu, Zheng Yang","doi":"10.1016/j.laa.2024.05.013","DOIUrl":"https://doi.org/10.1016/j.laa.2024.05.013","url":null,"abstract":"Let be an real matrix. As shown in the recent paper S.M. Fallat, H.T. Hall, J.C.-H. Lin, and B.L. Shader (2022) , if the manifolds and (consisting of all real matrices having the same sign pattern as ), both considered as embedded submanifolds of , intersect transversally at , then every superpattern of sgn() also allows a matrix similar to . Those authors introduced a condition on (in terms of certain linear matrix equations) equivalent to the above transversality, called the nonsymmetric strong spectral property (nSSP). In this paper, this transversality property of is characterized using an alternative, more direct and convenient condition, called the similarity-transversality property (STP). Let be a generic matrix of order whose entries are independent variables. The STP of is defined as the full row rank property of the Jacobian matrix of the entries of at the zero entry positions of with respect to the nondiagonal entries of . This new approach makes it possible to take better advantage of the combinatorial structure of the matrix , and provides theoretical foundation for constructing matrices similar to a given matrix while the entries have certain desired signs. In particular, several important classes of zero-nonzero patterns and sign patterns that require or allow this transversality property are identified. Examples illustrating many possible applications (such as diagonalizability, number of distinct eigenvalues, nilpotence, idempotence, semi-stability, eigenvalues and their algebraic and geometric multiplicities, Jordan canonical form, minimal polynomial, and rank) are provided.","PeriodicalId":18043,"journal":{"name":"Linear Algebra and its Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141259748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 β maps: Strong clustering and distribution results on the complex unit circle β 地图：复杂单位圆上的强聚类和分布结果

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-24 DOI: 10.1016/j.laa.2024.05.014

Alec J.A. Schiavoni-Piazza , David Meadon , Stefano Serra-Capizzano

{"title":"The β maps: Strong clustering and distribution results on the complex unit circle","authors":"Alec J.A. Schiavoni-Piazza , David Meadon , Stefano Serra-Capizzano","doi":"10.1016/j.laa.2024.05.014","DOIUrl":"10.1016/j.laa.2024.05.014","url":null,"abstract":"<div>In the current work, we study the eigenvalue distribution results of a class of non-normal matrix-sequences which may be viewed as a low rank perturbation, depending on a parameter <math><mi>β</mi><mo>></mo><mn>1</mn></math>, of the basic Toeplitz matrix-sequence <math><msub><mrow><mo>{</mo><msub><mrow><mi>T</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>(</mo><msup><mrow><mi>e</mi></mrow><mrow><mi>i</mi><mi>θ</mi></mrow></msup><mo>)</mo><mo>}</mo></mrow><mrow><mi>n</mi><mo>∈</mo><mi>N</mi></mrow></msub></math>, <math><msup><mrow><mi>i</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mo>−</mo><mn>1</mn></math>. The latter of which has obviously all eigenvalues equal to zero for any matrix order n, while for the matrix-sequence under consideration we will show a strong clustering on the complex unit circle. A detailed discussion on the outliers is also provided. The problem appears mathematically innocent, but it is indeed quite challenging since all the classical machinery for deducing the eigenvalue clustering does not cover the considered case. In the derivations, we resort to a trick used for the spectral analysis of the Google matrix plus several tools from complex analysis. We only mention that the problem is not an academic curiosity and in fact stems from problems in dynamical systems and number theory. Additionally, we also provide numerical experiments in high precision, a distribution analysis in the Weyl sense concerning both eigenvalues and singular values is given, and more results are sketched for the limit case of <math><mi>β</mi><mo>=</mo><mn>1</mn></math>.</div>","PeriodicalId":18043,"journal":{"name":"Linear Algebra and its Applications","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0024379524002192/pdfft?md5=181a282c4e318dff00696047443203fb&pid=1-s2.0-S0024379524002192-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the spectral Turán problem of theta graphs 论三角形图的图兰谱问题

IF 1.1 3区数学

Linear Algebra and its Applications Pub Date : 2024-05-23 DOI: 10.1016/j.laa.2024.05.015

Yi Xu, Xin Li

引用次数: 0