Pub Date : 2024-02-20DOI: 10.1080/03081087.2024.2313638
José Carlos Bellido, Luis Felipe Prieto-Martínez
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, ...
{"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}
Pub Date : 2024-02-14DOI: 10.1080/03081087.2024.2316786
G. Maharana, J. K. Sahoo, Néstor Thome
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...
{"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}
Pub Date : 2024-02-13DOI: 10.1080/03081087.2024.2314207
Iswar Mahato, M. Rajesh Kannan
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...
连通图 G 的偏心矩阵（用 E(G) 表示）由 G 的距离矩阵构造而成，方法是只保留每行和每列中最大的非零元素，并将其设置为 "0"。
{"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}
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...
{"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}
Pub Date : 2024-02-12DOI: 10.1080/03081087.2024.2314724
P. H. Baptistelli, M. E. R. Hernandes, E. M. Terezio
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 ...
在这项工作中，我们提出了 2n 维交映向量空间上哈密顿和对称向量场的代数结果。我们的主要结果属于线性范畴。在 n = 1 的情况下，我们 ...
{"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}
Pub Date : 2024-02-11DOI: 10.1080/03081087.2024.2303058
S. Pozza
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...
{"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}
Pub Date : 2024-02-07DOI: 10.1080/03081087.2024.2303729
Ozra Abdollahi, Saeed Karami, Jamal Rooin, Mohammad Hossein Sattari
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...
设 k 和 n 是两个共正整数。本文证明，任何 n×n k 循环算子矩阵 Ak,n 的第一行 A1,...,An∈B(H) 都等价于一个广义 permutati...
{"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}
Pub Date : 2024-02-07DOI: 10.1080/03081087.2024.2312444
Mohammad Sababheh, Hamid Reza Moradi, Satyajit Sahoo
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...
{"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}
Pub Date : 2024-02-07DOI: 10.1080/03081087.2024.2304144
Neelam Choudhary, Nicolas Gillis, Punit Sharma
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...
{"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":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":"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}
Pub Date : 2024-02-07DOI: 10.1080/03081087.2024.2311257
Siao A. Hong, Guangyan Y. Zhu
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
设 a、b 和 n 为正整数，S={x1,...,xn} 为 n 个不同正整数的集合。对于 x∈S，定义 GS(x)={y∈S:y
{"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":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":"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}
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