Pub Date : 2024-04-29DOI: 10.1080/03081087.2024.2346336
Manisha Devi, Jaspal Singh Aujla
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...
{"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}
Pub Date : 2024-04-22DOI: 10.1080/03081087.2024.2310497
Bruno Iannazzo, Beatrice Meini, Federico Poloni
By exploiting the connection between solving algebraic ⊤-Riccati equations and computing certain deflating subspaces of ⊤-palindromic matrix pencils, we obtain theoretical and computational results...
{"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}
Pub Date : 2024-04-22DOI: 10.1080/03081087.2024.2314205
Patrik Lundström, Johan Öinert, Laura Orozco, Héctor Pinedo
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...
我们研究了矩阵环 Mn(R)上的群分级的性质，其中 R 是关联单子环，n 是正整数。更确切地说，我们引入了非常好的分级，并证明了一个...
{"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}
Pub Date : 2024-04-17DOI: 10.1080/03081087.2024.2341167
Sooyeong Kim, Minho Song
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...
{"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}
Pub Date : 2024-04-15DOI: 10.1080/03081087.2024.2340746
Vanni Noferini, Paul Van Dooren
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...
{"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}
Pub Date : 2024-04-15DOI: 10.1080/03081087.2024.2340743
Mark Hunnell, John Hutchens
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...
对于 G=O(q,k)，即关于二次形式 q 的特征 2 域 k 上的正交群，我们讨论了渐开线定点的 G 共轭类。当二次空间...
{"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}
Pub Date : 2024-04-08DOI: 10.1080/03081087.2024.2303721
Yiu-Tung Poon, Nyle Alexander Sutton
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...
{"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}
Pub Date : 2024-04-01DOI: 10.1080/03081087.2024.2336191
Wenxv Ding, Anli Wei, Ying Li, Mingcui Zhang, Zhihong Liu
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...
{"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}
Pub Date : 2024-04-01DOI: 10.1080/03081087.2024.2335487
Ik-Pyo Kim, Arnold R. Kräuter
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...
本文介绍了切比雪夫-凡德蒙矩阵的 VDR 分解，其中 V 代表普通凡德蒙矩阵，D 为对角线，R 为上三角。我们这样做的动机是...
{"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}
Pub Date : 2024-03-25DOI: 10.1080/03081087.2024.2332607
Zakaria Taki
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...
对于 H 上的两个有界算子 B 和 C，我们用 M2,B,C 表示希尔伯特-施密特算子类上的基本基本算子。
{"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}
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