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On a question of Erdős on doubly stochastic matrices 关于双随机矩阵的厄尔多斯问题
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-22 DOI: 10.1080/03081087.2023.2300674
Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin
{"title":"On a question of Erdős on doubly stochastic matrices","authors":"Ludovick Bouthat, Javad Mashreghi, Frédéric Morneau-Guérin","doi":"10.1080/03081087.2023.2300674","DOIUrl":"https://doi.org/10.1080/03081087.2023.2300674","url":null,"abstract":"In a celebrated paper of Marcus and Ree [M. Marcus, R. Ree. Diagonals of doubly stochastic matrices. Quart J Math Oxford Ser. 1959; 10(1):296–302], it was shown that if A=[aij] is an n×n doubly sto...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139510977","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 new invariant for cyclic orbit flag codes 循环轨道旗码的新不变式
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-22 DOI: 10.1080/03081087.2024.2304148
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
{"title":"A new invariant for cyclic orbit flag codes","authors":"Clementa Alonso-González, Miguel Ángel Navarro-Pérez","doi":"10.1080/03081087.2024.2304148","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304148","url":null,"abstract":"In the network coding framework, given a prime power q and the vector space Fqn, a constant type flag code is a set of nested sequences of Fq-subspaces (flags) with the same increasing sequence of ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139510915","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 construction of MRD convolutional codes 论 MRD 卷积码的构建
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-22 DOI: 10.1080/03081087.2023.2300673
Diego Napp, Raquel Pinto, Filipa Santana, Carlos Vela
{"title":"On the construction of MRD convolutional codes","authors":"Diego Napp, Raquel Pinto, Filipa Santana, Carlos Vela","doi":"10.1080/03081087.2023.2300673","DOIUrl":"https://doi.org/10.1080/03081087.2023.2300673","url":null,"abstract":"The problem of building optimal block codes, such as MDS codes, over small fields has been an active area of research that led to several interesting conjectures. In the context of convolutional co...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139510969","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
Level numbers of a bounded linear operator between normed linear spaces-II 规范线性空间之间有界线性算子的级数-II
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-18 DOI: 10.1080/03081087.2024.2304151
Saikat Roy, Debmalya Sain, Ryotaro Tanaka
{"title":"Level numbers of a bounded linear operator between normed linear spaces-II","authors":"Saikat Roy, Debmalya Sain, Ryotaro Tanaka","doi":"10.1080/03081087.2024.2304151","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304151","url":null,"abstract":"We continue the study of level numbers and level vectors of a bounded linear operator between normed linear spaces. We prove that every linear operator on a finite-dimensional polyhedral Banach spa...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139505782","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
Parametrizing spectral filters for nonsingular polynomial matrices 非奇异多项式矩阵的参数化光谱滤波器
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-18 DOI: 10.1080/03081087.2023.2295924
Agurtzane Amparan, Silvia Marcaida, Ion Zaballa
{"title":"Parametrizing spectral filters for nonsingular polynomial matrices","authors":"Agurtzane Amparan, Silvia Marcaida, Ion Zaballa","doi":"10.1080/03081087.2023.2295924","DOIUrl":"https://doi.org/10.1080/03081087.2023.2295924","url":null,"abstract":"Two polynomial matrices are spectrally equivalent if they have the same finite and infinite elementary divisors. Spectral equivalence can be characterized using very special polynomial matrices cal...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139505152","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
High relative accuracy for rational q-Bernstein–Vandermonde matrices 有理 q-Bernstein-Vandermonde 矩阵的高相对精度
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-18 DOI: 10.1080/03081087.2024.2304686
Jorge Delgado, Héctor Orera, J. M. Peña
{"title":"High relative accuracy for rational q-Bernstein–Vandermonde matrices","authors":"Jorge Delgado, Héctor Orera, J. M. Peña","doi":"10.1080/03081087.2024.2304686","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304686","url":null,"abstract":"In this article, an accurate and efficient method to compute the eigenvalues, singular values and inverses of nonsingular totally positive rational q-Bernstein–Vandermonde matrices and the solution...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139505150","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
Exposedness of elementary positive maps between matrix algebras 矩阵代数之间基本正映射的暴露性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-18 DOI: 10.1080/03081087.2024.2304694
Seung-Hyeok Kye
{"title":"Exposedness of elementary positive maps between matrix algebras","authors":"Seung-Hyeok Kye","doi":"10.1080/03081087.2024.2304694","DOIUrl":"https://doi.org/10.1080/03081087.2024.2304694","url":null,"abstract":"The positive linear maps Ads which send matrices x to s∗xs play important roles in quantum information theory as well as matrix theory. It was proved by [Marciniak M. Rank properties of exposed pos...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139505155","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
Some properties of combinatorial triangles related to Horadam polynomials 与霍拉丹多项式有关的组合三角形的一些性质
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-16 DOI: 10.1080/03081087.2024.2303732
Yu Wang, Jinyang Zhang, Huyile Liang
{"title":"Some properties of combinatorial triangles related to Horadam polynomials","authors":"Yu Wang, Jinyang Zhang, Huyile Liang","doi":"10.1080/03081087.2024.2303732","DOIUrl":"https://doi.org/10.1080/03081087.2024.2303732","url":null,"abstract":"The Horadam polynomials unify many well-known polynomials, such as the Fibonacci polynomials, the Lucas polynomials, the Pell polynomials, the Jacobsthal polynomials and the Chebyshev polynomials. ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139474170","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 note on products of idempotents in the ring of upper triangular infinite matrices 关于上三角无穷矩阵环中幂级数积的说明
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-16 DOI: 10.1080/03081087.2024.2303727
Roksana Słowik
{"title":"A note on products of idempotents in the ring of upper triangular infinite matrices","authors":"Roksana Słowik","doi":"10.1080/03081087.2024.2303727","DOIUrl":"https://doi.org/10.1080/03081087.2024.2303727","url":null,"abstract":"It is known that every singular matrix of a finite degree defined over a field can be written as a product of a finite number of idempotent matrices. Insipired by this result we investigate the sam...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139474283","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
Upper bounds for the Euclidean spectral radius of operators via joint norms 通过联合规范计算算子欧几里得谱半径的上限
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-01-10 DOI: 10.1080/03081087.2023.2300676
Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki
{"title":"Upper bounds for the Euclidean spectral radius of operators via joint norms","authors":"Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki","doi":"10.1080/03081087.2023.2300676","DOIUrl":"https://doi.org/10.1080/03081087.2023.2300676","url":null,"abstract":"Let re(S) be the Euclidean spectral radius associated with a q-tuple S=(S1,…,Sq) of bounded linear operators on a complex Hilbert space. The principal objective of our study is to establish various...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139407829","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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