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The core-EP inverse: a numerical approach for its acute perturbation 核心-EP 逆：对其急性扰动的数值方法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-05 DOI: 10.1080/03081087.2024.2387736
Mengmeng Zhou, Jianlong Chen, Néstor Thome
{"title":"The core-EP inverse: a numerical approach for its acute perturbation","authors":"Mengmeng Zhou, Jianlong Chen, Néstor Thome","doi":"10.1080/03081087.2024.2387736","DOIUrl":"https://doi.org/10.1080/03081087.2024.2387736","url":null,"abstract":"This paper studies the concept of stable perturbation B∈Cn×n for the core-EP inverse of a matrix A∈Cn×n with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inv...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"23 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899850","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
Entries of the bottleneck matrices of maximal outerplanar graphs 最大外平面图的瓶颈矩阵条目
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-05 DOI: 10.1080/03081087.2024.2386603
Jason J. Molitierno
{"title":"Entries of the bottleneck matrices of maximal outerplanar graphs","authors":"Jason J. Molitierno","doi":"10.1080/03081087.2024.2386603","DOIUrl":"https://doi.org/10.1080/03081087.2024.2386603","url":null,"abstract":"In this paper, we consider the entries of the bottleneck matrices of maximal outerplanar graphs. We recall patterns from [Kirkland SJ, Neumann M, Shader BL. Characteristic vertices of weighted tree...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"77 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899849","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
Global solutions of approximation problems in Krein spaces 克雷因空间近似问题的全局解决方案
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-02 DOI: 10.1080/03081087.2024.2385967
M. Contino
{"title":"Global solutions of approximation problems in Krein spaces","authors":"M. Contino","doi":"10.1080/03081087.2024.2385967","DOIUrl":"https://doi.org/10.1080/03081087.2024.2385967","url":null,"abstract":"Three approximation problems in Krein spaces are studied, namely the indefinite weighted least squares problem and the related problems of indefinite abstract splines and smoothing. In each case, w...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"122 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899801","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
Laplacian eigenvalue distribution, diameter and domination number of trees 树木的拉普拉卡特征值分布、直径和支配数
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-30 DOI: 10.1080/03081087.2024.2385991
Jiaxin Guo, Jie Xue, Ruifang Liu
{"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}
引用次数: 0
Constructing cospectral hypergraphs 构建共谱超图
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-25 DOI: 10.1080/03081087.2024.2382992
Aida Abiad, Antonina P. Khramova
{"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}
引用次数: 0
Diameter of the BJ-orthograph in finite-dimensional C*-algebras 有限维 C* 矩阵中的 BJ 正矢直径
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-25 DOI: 10.1080/03081087.2024.2382983
Srdjan Stefanović
{"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}
引用次数: 0
Additive decomposability preserving maps between exterior powers of vector spaces 向量空间外部幂之间的可加分解性保存映射
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-23 DOI: 10.1080/03081087.2024.2382977
Jinting Lau, Ming Huat Lim
{"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}
引用次数: 0
On the signs of the principal minors of Hermitian matrices 关于赫米特矩阵主最小值的符号
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-19 DOI: 10.1080/03081087.2024.2313639
Xavier Martínez-Rivera, Kamonchanok Saejeam
{"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}
引用次数: 0
On the matrix Heinz means and Rényi divergences 关于矩阵海因茨均值和雷尼发散
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-16 DOI: 10.1080/03081087.2024.2379397
Raluca Dumitru, Jose A. Franco
{"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}
引用次数: 0
On the splitting iteration method for Pareto eigenvalue complementarity problems of H+-matrices 论 H+ 矩阵帕累托特征值互补问题的分裂迭代法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-10 DOI: 10.1080/03081087.2024.2376550
Lu Zou, Yuan Lei
{"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}
引用次数: 0
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