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On eigenvalues of certain special matrices 关于某些特殊矩阵的特征值
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-29 DOI: 10.1080/03081087.2024.2346336
Manisha Devi, Jaspal Singh Aujla
{"title":"On eigenvalues of certain special matrices","authors":"Manisha Devi, Jaspal Singh Aujla","doi":"10.1080/03081087.2024.2346336","DOIUrl":"https://doi.org/10.1080/03081087.2024.2346336","url":null,"abstract":"Let g:R→[0,∞) be a conditionally negative definite function and f:[0,∞)→[0,∞) be a Bernstein function. We prove that the function h=f∘g is conditionally negative definite and that for distinct real...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140915138","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
Deflating subspaces of T-palindromic pencils and algebraic T-Riccati equations T-palindromic pencils 的膨胀子空间和代数 T-Riccati 方程
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-22 DOI: 10.1080/03081087.2024.2310497
Bruno Iannazzo, Beatrice Meini, Federico Poloni
{"title":"Deflating subspaces of T-palindromic pencils and algebraic T-Riccati equations","authors":"Bruno Iannazzo, Beatrice Meini, Federico Poloni","doi":"10.1080/03081087.2024.2310497","DOIUrl":"https://doi.org/10.1080/03081087.2024.2310497","url":null,"abstract":"By exploiting the connection between solving algebraic ⊤-Riccati equations and computing certain deflating subspaces of ⊤-palindromic matrix pencils, we obtain theoretical and computational results...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149269","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
Very good gradings on matrix rings are epsilon-strong 矩阵环上非常好的分级是ε-强
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-22 DOI: 10.1080/03081087.2024.2314205
Patrik Lundström, Johan Öinert, Laura Orozco, Héctor Pinedo
{"title":"Very good gradings on matrix rings are epsilon-strong","authors":"Patrik Lundström, Johan Öinert, Laura Orozco, Héctor Pinedo","doi":"10.1080/03081087.2024.2314205","DOIUrl":"https://doi.org/10.1080/03081087.2024.2314205","url":null,"abstract":"We investigate properties of group gradings on matrix rings Mn(R), where R is an associative unital ring and n is a positive integer. More precisely, we introduce very good gradings and show that a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140919561","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
Strictly monotone sequences of lower and upper bounds on Perron values and their combinatorial applications 佩伦值下限和上限的严格单调序列及其组合应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-17 DOI: 10.1080/03081087.2024.2341167
Sooyeong Kim, Minho Song
{"title":"Strictly monotone sequences of lower and upper bounds on Perron values and their combinatorial applications","authors":"Sooyeong Kim, Minho Song","doi":"10.1080/03081087.2024.2341167","DOIUrl":"https://doi.org/10.1080/03081087.2024.2341167","url":null,"abstract":"In this paper, we present monotone sequences of lower and upper bounds on the Perron value of a nonnegative matrix, and we study their strict monotonicity. Using those sequences, we provide two com...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140603534","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
Computing a compact local Smith–McMillan form 计算紧凑的局部史密斯-麦克米兰形式
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-15 DOI: 10.1080/03081087.2024.2340746
Vanni Noferini, Paul Van Dooren
{"title":"Computing a compact local Smith–McMillan form","authors":"Vanni Noferini, Paul Van Dooren","doi":"10.1080/03081087.2024.2340746","DOIUrl":"https://doi.org/10.1080/03081087.2024.2340746","url":null,"abstract":"We define a compact local Smith–McMillan form of a rational matrix R(λ) as the diagonal matrix whose diagonal elements are the nonzero entries of a local Smith-McMillan form of R(λ). We show that a...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140557253","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
Fixed point groups of involutions of type O(q,k) over a field of characteristic two 特性二域上 O(q,k) 型渐开线的定点群
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-15 DOI: 10.1080/03081087.2024.2340743
Mark Hunnell, John Hutchens
{"title":"Fixed point groups of involutions of type O(q,k) over a field of characteristic two","authors":"Mark Hunnell, John Hutchens","doi":"10.1080/03081087.2024.2340743","DOIUrl":"https://doi.org/10.1080/03081087.2024.2340743","url":null,"abstract":"For G=O⁡(q,k), the orthogonal group over a field k of characteristic 2 with respect to a quadratic form q, we discuss the G-conjugacy classes of fixed points of involutions. When the quadratic spac...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140557142","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
Generalized matricial ranges and positive definiteness 广义矩阵范围和正定性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-08 DOI: 10.1080/03081087.2024.2303721
Yiu-Tung Poon, Nyle Alexander Sutton
{"title":"Generalized matricial ranges and positive definiteness","authors":"Yiu-Tung Poon, Nyle Alexander Sutton","doi":"10.1080/03081087.2024.2303721","DOIUrl":"https://doi.org/10.1080/03081087.2024.2303721","url":null,"abstract":"Numerical range is the subject of study for over a century. Its extension to matricial range is defined in terms of completely positive maps. A linear map ϕ between matrix algebras is completely po...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140534426","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
A novel structure-preserving algorithm for the singular value decomposition of biquaternion matrices 双四元数矩阵奇异值分解的新型结构保持算法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-01 DOI: 10.1080/03081087.2024.2336191
Wenxv Ding, Anli Wei, Ying Li, Mingcui Zhang, Zhihong Liu
{"title":"A novel structure-preserving algorithm for the singular value decomposition of biquaternion matrices","authors":"Wenxv Ding, Anli Wei, Ying Li, Mingcui Zhang, Zhihong Liu","doi":"10.1080/03081087.2024.2336191","DOIUrl":"https://doi.org/10.1080/03081087.2024.2336191","url":null,"abstract":"In this paper, we study the singular value decomposition of biquaternion matrices. We prove that the singular value decomposition of biquaternion matrices can be equivalently converted to the singu...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140340639","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
VDR decomposition of Chebyshev-Vandermonde matrices with the Arnoldi Process 用阿诺迪过程对切比雪夫-凡德蒙矩阵进行 VDR 分解
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-04-01 DOI: 10.1080/03081087.2024.2335487
Ik-Pyo Kim, Arnold R. Kräuter
{"title":"VDR decomposition of Chebyshev-Vandermonde matrices with the Arnoldi Process","authors":"Ik-Pyo Kim, Arnold R. Kräuter","doi":"10.1080/03081087.2024.2335487","DOIUrl":"https://doi.org/10.1080/03081087.2024.2335487","url":null,"abstract":"This paper introduces the VDR decomposition of Chebyshev-Vandermonde matrices, where V represents an ordinary Vandermonde matrix, D is diagonal, and R is upper triangular. Our motivation for this w...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140333389","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 M2,A,A-numerical range and the M2,A,A-maximal numerical range of the basic elementary operator M2,B,C 关于基本基本算子 M2,B,C 的 M2,A,A 数值范围和 M2,A,A 最大数值范围
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-03-25 DOI: 10.1080/03081087.2024.2332607
Zakaria Taki
{"title":"On the M2,A,A-numerical range and the M2,A,A-maximal numerical range of the basic elementary operator M2,B,C","authors":"Zakaria Taki","doi":"10.1080/03081087.2024.2332607","DOIUrl":"https://doi.org/10.1080/03081087.2024.2332607","url":null,"abstract":"Let A be a positive bounded operator acting on a complex Hilbert space H. For two bounded operators B and C on H, we denote by M2,B,C the basic elementary operator on the class of Hilbert–Schmidt o...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140303294","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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