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Characterizing matrices with eigenvalues in an LMI region: a dissipative-Hamiltonian approach 描述 LMI 区域中具有特征值的矩阵：耗散-哈密尔顿方法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI: 10.1080/03081087.2024.2304144
Neelam Choudhary, Nicolas Gillis, Punit Sharma
{"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}
引用次数: 0
Divisibility among power matrices associated with multiplicative functions 与乘法函数相关的幂矩阵之间的可分性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-07 DOI: 10.1080/03081087.2024.2311257
Siao A. Hong, Guangyan Y. Zhu
{"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}
引用次数: 0
Forms of biisometric operators and biorthogonality 生物计量算子的形式和生物对偶性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-06 DOI: 10.1080/03081087.2024.2313627
B. P. Duggal, C. S. Kubrusly
{"title":"Forms of biisometric operators and biorthogonality","authors":"B. P. Duggal, C. S. Kubrusly","doi":"10.1080/03081087.2024.2313627","DOIUrl":"https://doi.org/10.1080/03081087.2024.2313627","url":null,"abstract":"The paper proves two results involving a pair (A,B) of P-biisometric or (m,P)-biisometric Hilbert-space operators for arbitrary positive integer m and positive operator P. It is shown that if A and...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139720347","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
Characterization of self-adjoint domains for regular odd order C-symmetric differential operators 正则奇阶 C 对称微分算子的自约域特征
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-05 DOI: 10.1080/03081087.2023.2284752
Qinglan Bao, Jiong Sun, Xiaoling Hao
{"title":"Characterization of self-adjoint domains for regular odd order C-symmetric differential operators","authors":"Qinglan Bao, Jiong Sun, Xiaoling Hao","doi":"10.1080/03081087.2023.2284752","DOIUrl":"https://doi.org/10.1080/03081087.2023.2284752","url":null,"abstract":"We enlarge the class of regular odd order differential operators and find the self-adjoint boundary condition of every operator. In this paper, we give the characterization of self-adjoint domains ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139700994","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
Structured backward errors for block three-by-three saddle point systems 块三乘三鞍点系统的结构化后向误差
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-02 DOI: 10.1080/03081087.2024.2311264
Wei Ma, Yadan Fan, Xiaoyi Xu
{"title":"Structured backward errors for block three-by-three saddle point systems","authors":"Wei Ma, Yadan Fan, Xiaoyi Xu","doi":"10.1080/03081087.2024.2311264","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311264","url":null,"abstract":"In this paper, we analyze the structured backward error for block three-by-three saddle point systems. The computable formulas of structured backward errors are derived, which are useful for testin...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139688426","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 generalized sectorial decompositions of semi-sectorial operators 半扇形算子的广义扇形分解
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-02 DOI: 10.1080/03081087.2024.2311860
Yuwen Liu, Liu Liu, Yufeng Lu
{"title":"The generalized sectorial decompositions of semi-sectorial operators","authors":"Yuwen Liu, Liu Liu, Yufeng Lu","doi":"10.1080/03081087.2024.2311860","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311860","url":null,"abstract":"This paper considers the generalized sectorial decompositions of semi-sectorial operators and quasi-sectorial operators on the complex Hilbert space. Under an invariant subspace condition, a necess...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139701001","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
Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem 作为维格纳型定理的希尔伯特格拉斯曼周定理
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-02-02 DOI: 10.1080/03081087.2024.2311260
Mark Pankov, Adam Tyc
{"title":"Chow's theorem for Hilbert Grassmannians as a Wigner-type theorem","authors":"Mark Pankov, Adam Tyc","doi":"10.1080/03081087.2024.2311260","DOIUrl":"https://doi.org/10.1080/03081087.2024.2311260","url":null,"abstract":"Let H be an infinite-dimensional complex Hilbert space. Denote by G∞(H) the Grassmannian formed by closed subspaces of H whose dimension and codimension both are infinite. We say that X,Y∈G∞(H) are...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139660931","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
Multiple 2-summing operators from a Cartezian product of l1(H)-spaces with values in a Hilbert space 来自具有希尔伯特空间值的 l1(H)-空间的笛卡尔积的多个 2 求和算子
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-31 DOI: 10.1080/03081087.2024.2306321
Dumitru Popa
{"title":"Multiple 2-summing operators from a Cartezian product of l1(H)-spaces with values in a Hilbert space","authors":"Dumitru Popa","doi":"10.1080/03081087.2024.2306321","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306321","url":null,"abstract":"We use the Maurey–Rosenthal factorization theorem to give the necessary and sufficient conditions that an operator on the Cartezian product of l1(H)-spaces with values in a Hilbert space to be mult...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139695786","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
Tight infinite matrices 紧无限矩阵
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-29 DOI: 10.1080/03081087.2024.2306314
Ron Aharoni, He Guo
{"title":"Tight infinite matrices","authors":"Ron Aharoni, He Guo","doi":"10.1080/03081087.2024.2306314","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306314","url":null,"abstract":"We give a simple proof of a recent result of Gollin and Joó (Matching variables to equations in infinite linear equation systems. Linear Algebra Appl. 2023;660:40–46. doi: 10.1016/j.laa.2022.12.002...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139660924","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
Endomorphisms of the riordan group, some new facts 瑞尔丹群的非定常性，一些新事实
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-25 DOI: 10.1080/03081087.2024.2306333
R. Słowik
{"title":"Endomorphisms of the riordan group, some new facts","authors":"R. Słowik","doi":"10.1080/03081087.2024.2306333","DOIUrl":"https://doi.org/10.1080/03081087.2024.2306333","url":null,"abstract":"We consider endomorphisms of the Riordan group. This issue was recently studied by Petrullo and Senato who gave the characterization of these endomorphisms in terms of endomorphisms of the Appell a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139565754","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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