Linear & Multilinear Algebra最新文献

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Probabilistic bounds on best rank-1 approximation ratio 最佳秩-1 近似比的概率边界
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-03 DOI: 10.1080/03081087.2024.2304146
Khazhgali Kozhasov, Josué Tonelli-Cueto
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引用次数: 0
A note on a generalized Jordan form of an infinite upper triangular matrix 关于无穷上三角矩阵的广义约旦形式的说明
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-21 DOI: 10.1080/03081087.2024.2314210
Adel Abyzov, Alexander Maklakov
{"title":"A note on a generalized Jordan form of an infinite upper triangular matrix","authors":"Adel Abyzov, Alexander Maklakov","doi":"10.1080/03081087.2024.2314210","DOIUrl":"https://doi.org/10.1080/03081087.2024.2314210","url":null,"abstract":"In this paper, several equivalent conditions for the existence of a generalized Jordan form for matrices of locally nilpotent linear operators acting on an infinite countable dimensional vector spa...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139917394","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
Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis 列昂惕夫投入产出模型解的存在性和唯一性、图论和敏感性分析
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-20 DOI: 10.1080/03081087.2024.2313638
José Carlos Bellido, Luis Felipe Prieto-Martínez
{"title":"Existence and uniqueness of solutions for Leontief's Input–Output Model, graph theory and sensitivity analysis","authors":"José Carlos Bellido, Luis Felipe Prieto-Martínez","doi":"10.1080/03081087.2024.2313638","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313638","url":null,"abstract":"We provide a complete study of existence and uniqueness (uniqueness up to multiples in the case d=0) of non-negative and non-trivial solutions x for the linear system (I−A)x=d with A≥0,d≥0 (which, ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139917376","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
G-Drazin inverse combined with inner inverse G-Drazin 逆反应与内逆反应相结合
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-14 DOI: 10.1080/03081087.2024.2316786
G. Maharana, J. K. Sahoo, Néstor Thome
{"title":"G-Drazin inverse combined with inner inverse","authors":"G. Maharana, J. K. Sahoo, Néstor Thome","doi":"10.1080/03081087.2024.2316786","DOIUrl":"https://doi.org/10.1080/03081087.2024.2316786","url":null,"abstract":"This article introduces new classes of generalized inverses for square matrices named GD1, and the dual, called 1GD inverse. In addition, we discuss a few characterizations and representations of t...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139733480","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
Minimizers for the energy of eccentricity matrices of trees 树木偏心矩阵能量的最小值
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-13 DOI: 10.1080/03081087.2024.2314207
Iswar Mahato, M. Rajesh Kannan
{"title":"Minimizers for the energy of eccentricity matrices of trees","authors":"Iswar Mahato, M. Rajesh Kannan","doi":"10.1080/03081087.2024.2314207","DOIUrl":"https://doi.org/10.1080/03081087.2024.2314207","url":null,"abstract":"The eccentricity matrix of a connected graph G, denoted by E(G), is constructed from the distance matrix of G by keeping only the largest nonzero elements in each row and each column and setting th...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139733529","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
Independence and orthogonality of algebraic eigenvectors over the max-plus algebra 最大加代数上代数特征向量的独立性和正交性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-12 DOI: 10.1080/03081087.2024.2316781
Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe
{"title":"Independence and orthogonality of algebraic eigenvectors over the max-plus algebra","authors":"Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe","doi":"10.1080/03081087.2024.2316781","DOIUrl":"https://doi.org/10.1080/03081087.2024.2316781","url":null,"abstract":"The max-plus algebra R∪{−∞} is a semiring with the two operations: addition a⊕b:=max(a,b) and multiplication a⊗b:=a+b. Roots of the characteristic polynomial of a max-plus matrix are called algebra...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720436","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
Symmetric Hamiltonian vector fields 对称哈密顿矢量场
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-12 DOI: 10.1080/03081087.2024.2314724
P. H. Baptistelli, M. E. R. Hernandes, E. M. Terezio
{"title":"Symmetric Hamiltonian vector fields","authors":"P. H. Baptistelli, M. E. R. Hernandes, E. M. Terezio","doi":"10.1080/03081087.2024.2314724","DOIUrl":"https://doi.org/10.1080/03081087.2024.2314724","url":null,"abstract":"In this work, we present algebraic results for Hamiltonian and symmetric vector fields on 2n-dimensional symplectic vector spaces. Our main results are in the linear context. In the case n = 1, we ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720310","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
A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra 在分布环中求解 ODE 的新闭式表达式及其与矩阵代数的联系
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-11 DOI: 10.1080/03081087.2024.2303058
S. Pozza
{"title":"A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra","authors":"S. Pozza","doi":"10.1080/03081087.2024.2303058","DOIUrl":"https://doi.org/10.1080/03081087.2024.2303058","url":null,"abstract":"A new expression for solving homogeneous linear ODEs based on a generalization of the Volterra composition was recently introduced. In this work, we extend such an expression, showing that it corre...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139733481","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
Unitary equivalences for k-circulant operator matrices with applications k 循环算子矩阵的单元等价及其应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI: 10.1080/03081087.2024.2303729
Ozra Abdollahi, Saeed Karami, Jamal Rooin, Mohammad Hossein Sattari
{"title":"Unitary equivalences for k-circulant operator matrices with applications","authors":"Ozra Abdollahi, Saeed Karami, Jamal Rooin, Mohammad Hossein Sattari","doi":"10.1080/03081087.2024.2303729","DOIUrl":"https://doi.org/10.1080/03081087.2024.2303729","url":null,"abstract":"Let k and n be two coprime positive integers. In this paper, we show that any n×n k-circulant operator matrix Ak,n with the first row A1,…,An∈B(H) is unitarily equivalent to a generalized permutati...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720357","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
Inner product inequalities with applications 内积不等式及其应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI: 10.1080/03081087.2024.2312444
Mohammad Sababheh, Hamid Reza Moradi, Satyajit Sahoo
{"title":"Inner product inequalities with applications","authors":"Mohammad Sababheh, Hamid Reza Moradi, Satyajit Sahoo","doi":"10.1080/03081087.2024.2312444","DOIUrl":"https://doi.org/10.1080/03081087.2024.2312444","url":null,"abstract":"In this paper, we show some inner product inequalities, which can be considered of Cauchy-Schwarz and Buzano type inequalities for Hilbert space operators. This will lead to several applications th...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720360","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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