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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":"90 1","pages":""},"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":"39 1","pages":""},"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":"39 1","pages":""},"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":"2 1","pages":""},"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":"6 1","pages":""},"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":"16 1","pages":""},"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":"78 1","pages":""},"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
Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach 描述 LMI 区域中具有特征值的矩阵：耗散-哈密尔顿方法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI: 10.1080/03081087.2024.2304144
Neelam Choudhary, Nicolas Gillis, Punit Sharma
{"title":"Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach","authors":"Neelam Choudhary, Nicolas Gillis, Punit Sharma","doi":"10.1080/03081087.2024.2304144","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304144","url":null,"abstract":"In this paper, we provide a dissipative Hamiltonian (DH) characterization for the set of matrices whose eigenvalues belong to a given LMI region. This characterization is a generalization of that o...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"18 2 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720392","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
Divisibility among power matrices associated with multiplicative functions 与乘法函数相关的幂矩阵之间的可分性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI: 10.1080/03081087.2024.2311257
Siao A. Hong, Guangyan Y. Zhu
{"title":"Divisibility among power matrices associated with multiplicative functions","authors":"Siao A. Hong, Guangyan Y. Zhu","doi":"10.1080/03081087.2024.2311257","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311257","url":null,"abstract":"Let a, b and n be positive integers and let S={x1,…,xn} be a set of n distinct positive integers. For x∈S, one defines GS(x)={y∈S:y<x,y|xand(y|z|x,z∈S)⇒z∈{y,x}}. For any arithmetic function f and a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"8 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139700995","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
Forms of biisometric operators and biorthogonality 生物计量算子的形式和生物对偶性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-06 DOI: 10.1080/03081087.2024.2313627
B. P. Duggal, C. S. Kubrusly
{"title":"Forms of biisometric operators and biorthogonality","authors":"B. P. Duggal, C. S. Kubrusly","doi":"10.1080/03081087.2024.2313627","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313627","url":null,"abstract":"The paper proves two results involving a pair (A,B) of P-biisometric or (m,P)-biisometric Hilbert-space operators for arbitrary positive integer m and positive operator P. It is shown that if A and...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"24 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720347","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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