{"title":"Probabilistic bounds on best rank-1 approximation ratio","authors":"Khazhgali Kozhasov, Josué Tonelli-Cueto","doi":"10.1080/03081087.2024.2304146","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304146","url":null,"abstract":"We provide new upper and lower bounds on the minimum possible ratio of the spectral and Frobenius norms of a (partially) symmetric tensor. In the particular case of general tensors, our result reco...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140043283","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}
{"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}
{"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}
{"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}
{"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}
{"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}
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}
{"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}
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}
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}