Pub Date : 2024-07-30DOI: 10.1080/03081087.2024.2385991
Jiaxin Guo, Jie Xue, Ruifang Liu
For a graph G with domination number γ, Hedetniemi, Jacobs and Trevisan (2016) proved that mG[0,1)≤γ, where mG[0,1) means the number of Laplacian eigenvalues of G in the interval [0,1). Let T be a ...
对于支配数为γ的图 G，Hedetniemi、Jacobs 和 Trevisan（2016）证明了 mG[0,1)≤γ，其中 mG[0,1) 表示 G 在区间 [0,1) 内的拉普拉斯特征值个数。假设 T 是一个 ...
{"title":"Laplacian eigenvalue distribution, diameter and domination number of trees","authors":"Jiaxin Guo, Jie Xue, Ruifang Liu","doi":"10.1080/03081087.2024.2385991","DOIUrl":"https://doi.org/10.1080/03081087.2024.2385991","url":null,"abstract":"For a graph G with domination number γ, Hedetniemi, Jacobs and Trevisan (2016) proved that mG[0,1)≤γ, where mG[0,1) means the number of Laplacian eigenvalues of G in the interval [0,1). Let T be a ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899760","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 : 2024-07-25DOI: 10.1080/03081087.2024.2382992
Aida Abiad, Antonina P. Khramova
Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals w...
{"title":"Constructing cospectral hypergraphs","authors":"Aida Abiad, Antonina P. Khramova","doi":"10.1080/03081087.2024.2382992","DOIUrl":"https://doi.org/10.1080/03081087.2024.2382992","url":null,"abstract":"Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals w...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"76 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899852","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 : 2024-07-25DOI: 10.1080/03081087.2024.2382983
Srdjan Stefanović
We determine the exact diameter of the orthograph related to mutual strong Birkhoff–James orthogonality in arbitrary finite-dimensional C∗-algebra. Additionally, we will estimate the distance betwe...
{"title":"Diameter of the BJ-orthograph in finite-dimensional C*-algebras","authors":"Srdjan Stefanović","doi":"10.1080/03081087.2024.2382983","DOIUrl":"https://doi.org/10.1080/03081087.2024.2382983","url":null,"abstract":"We determine the exact diameter of the orthograph related to mutual strong Birkhoff–James orthogonality in arbitrary finite-dimensional C∗-algebra. Additionally, we will estimate the distance betwe...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"21 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899745","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 : 2024-07-23DOI: 10.1080/03081087.2024.2382977
Jinting Lau, Ming Huat Lim
In this paper, we characterize additive maps between exterior power of vector spaces that send decomposable multivectors to decomposable multivectors. As an application, we deduce Kuzma's result re...
{"title":"Additive decomposability preserving maps between exterior powers of vector spaces","authors":"Jinting Lau, Ming Huat Lim","doi":"10.1080/03081087.2024.2382977","DOIUrl":"https://doi.org/10.1080/03081087.2024.2382977","url":null,"abstract":"In this paper, we characterize additive maps between exterior power of vector spaces that send decomposable multivectors to decomposable multivectors. As an application, we deduce Kuzma's result re...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"302 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141768568","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 : 2024-07-19DOI: 10.1080/03081087.2024.2313639
Xavier Martínez-Rivera, Kamonchanok Saejeam
The signed enhanced principal rank characteristic sequence (sepr-sequence) of a given n×n Hermitian matrix B is the sequence t1t2…tn, where tk is A∗, A+, A−, N, S∗, S+, or S−, based on the followin...
{"title":"On the signs of the principal minors of Hermitian matrices","authors":"Xavier Martínez-Rivera, Kamonchanok Saejeam","doi":"10.1080/03081087.2024.2313639","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313639","url":null,"abstract":"The signed enhanced principal rank characteristic sequence (sepr-sequence) of a given n×n Hermitian matrix B is the sequence t1t2…tn, where tk is A∗, A+, A−, N, S∗, S+, or S−, based on the followin...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737063","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 : 2024-07-16DOI: 10.1080/03081087.2024.2379397
Raluca Dumitru, Jose A. Franco
Bhatia, Lim and Yamazaki obtained results on the norm minimality of the Kubo-Ando Heinz means of positive semidefinite matrices. Namely, they proved that |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||, for...
{"title":"On the matrix Heinz means and Rényi divergences","authors":"Raluca Dumitru, Jose A. Franco","doi":"10.1080/03081087.2024.2379397","DOIUrl":"https://doi.org/10.1080/03081087.2024.2379397","url":null,"abstract":"Bhatia, Lim and Yamazaki obtained results on the norm minimality of the Kubo-Ando Heinz means of positive semidefinite matrices. Namely, they proved that |||A♯αB+A♯1−αB|||≤|||AαB1−α+A1−αBα|||, for...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"79 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737064","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 : 2024-07-10DOI: 10.1080/03081087.2024.2376550
Lu Zou, Yuan Lei
We present a class of inexact splitting-modulus iteration methods for solving the Pareto Eigenvalue Complementarity Problem (EiCP) when the system matrix A is an H+-matrix. Our method first employs...
当系统矩阵 A 是一个 H+ 矩阵时，我们提出了一类用于求解帕累托特征值互补问题（EiCP）的非精确分割模数迭代法。我们的方法首先采用...
{"title":"On the splitting iteration method for Pareto eigenvalue complementarity problems of H+-matrices","authors":"Lu Zou, Yuan Lei","doi":"10.1080/03081087.2024.2376550","DOIUrl":"https://doi.org/10.1080/03081087.2024.2376550","url":null,"abstract":"We present a class of inexact splitting-modulus iteration methods for solving the Pareto Eigenvalue Complementarity Problem (EiCP) when the system matrix A is an H+-matrix. Our method first employs...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141602714","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 : 2024-07-10DOI: 10.1080/03081087.2024.2376560
Fanghong Nan, Teng Zhang
By using equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in Linear Algebra Appl. (2020;586), we improve a Rotfel'd type inequality for sectorial matrices derived by...
{"title":"An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices","authors":"Fanghong Nan, Teng Zhang","doi":"10.1080/03081087.2024.2376560","DOIUrl":"https://doi.org/10.1080/03081087.2024.2376560","url":null,"abstract":"By using equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in Linear Algebra Appl. (2020;586), we improve a Rotfel'd type inequality for sectorial matrices derived by...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"28 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141602715","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 : 2024-07-09DOI: 10.1080/03081087.2024.2376561
Miryam Gnazzo, Nicola Guglielmi
Consider a matrix polynomial P(λ)=A0+λA1+⋯+λdAd, with A0,…,Ad complex (or real) matrices with a certain structure. In this paper we discuss an iterative method to numerically approximate the closes...
{"title":"Approximating the closest structured singular matrix polynomial","authors":"Miryam Gnazzo, Nicola Guglielmi","doi":"10.1080/03081087.2024.2376561","DOIUrl":"https://doi.org/10.1080/03081087.2024.2376561","url":null,"abstract":"Consider a matrix polynomial P(λ)=A0+λA1+⋯+λdAd, with A0,…,Ad complex (or real) matrices with a certain structure. In this paper we discuss an iterative method to numerically approximate the closes...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"50 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608159","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 : 2024-07-06DOI: 10.1080/03081087.2024.2364703
Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi
In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and ...
{"title":"Fredholm theory on Krein spaces and its application to pseudospectrum","authors":"Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi","doi":"10.1080/03081087.2024.2364703","DOIUrl":"https://doi.org/10.1080/03081087.2024.2364703","url":null,"abstract":"In this note, we introduce a notion of the J-kernel of a bounded linear operator on a Krein space and study the J-Fredholm theory for Krein space operators. Using J-Fredholm theory, we discuss and ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"65 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141602719","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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