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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
An improvement and a generalization of Rotfel'd type inequalities for sectorial matrices 扇形矩阵的 Rotfel'd 型不等式的改进和推广
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-10 DOI: 10.1080/03081087.2024.2376560
Fanghong Nan, Teng Zhang
{"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}
引用次数: 0
Approximating the closest structured singular matrix polynomial 逼近最接近的结构奇异矩阵多项式
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-09 DOI: 10.1080/03081087.2024.2376561
Miryam Gnazzo, Nicola Guglielmi
{"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}
引用次数: 0
Fredholm theory on Krein spaces and its application to pseudospectrum 克雷因空间上的弗雷德霍尔姆理论及其在伪谱中的应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-06 DOI: 10.1080/03081087.2024.2364703
Mohammed Zerai Dhahri, Aref Jeribi, Kamel Mahfoudhi
{"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}
引用次数: 0
On commutators of idempotents 关于等价物的换元
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-06 DOI: 10.1080/03081087.2024.2368734
Roman Drnovšek
{"title":"On commutators of idempotents","authors":"Roman Drnovšek","doi":"10.1080/03081087.2024.2368734","DOIUrl":"https://doi.org/10.1080/03081087.2024.2368734","url":null,"abstract":"Let T be an operator on a Banach space X that is similar to −T via an involution U. Then,U decomposes the Banach space X as X=X1⊕X2 with respect to which decomposition we have U=(I100−I2), where Ii...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"29 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141618195","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
The volume of an isocanted cube is a determinant* 等积立方体的体积是行列式*
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-03 DOI: 10.1080/03081087.2024.2368240
M. J. de la Puente, P. L. Clavería
{"title":"The volume of an isocanted cube is a determinant*","authors":"M. J. de la Puente, P. L. Clavería","doi":"10.1080/03081087.2024.2368240","DOIUrl":"https://doi.org/10.1080/03081087.2024.2368240","url":null,"abstract":"In any dimension d≥2, we give exact volume formulas of two mutually polar dual convex d-polytopes. The primal body is called isocanted cube of dimension d, depending on two real parameters 0<a<ℓ. T...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"38 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141608156","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
Perturbation properties of the generalized spectral radius 广谱半径的扰动特性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-06-18 DOI: 10.1080/03081087.2024.2366951
Florian Bünger, Alberto Seeger
{"title":"Perturbation properties of the generalized spectral radius","authors":"Florian Bünger, Alberto Seeger","doi":"10.1080/03081087.2024.2366951","DOIUrl":"https://doi.org/10.1080/03081087.2024.2366951","url":null,"abstract":"Let n∈N, K∈{R,C} and Mn(K) be the set of all n-by-n matrices with entries in K. We investigate the sensitivity of the generalized spectral radius ρK(A):=max{|λ|:λ∈Kand|Ax|=|λx|foranx∈Kn∖{0}} of A∈...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"11 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141425526","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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