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...
在马库斯和里的一篇著名论文中 [M. Marcus, R. Ree.Marcus, R. Ree.双随机矩阵的对角线。Quart J Math Oxford Ser. 1959; 10(1):296-302] 中证明，如果 A=[aij] 是一个 n×n 的双随机矩阵，那么它的对角线就是...
{"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}
Pub Date : 2024-01-22DOI: 10.1080/03081087.2024.2304148
Clementa Alonso-González, Miguel Ángel Navarro-Pérez
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 ...
{"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}
Pub Date : 2024-01-22DOI: 10.1080/03081087.2023.2300673
Diego Napp, Raquel Pinto, Filipa Santana, Carlos Vela
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...
{"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}
Pub Date : 2024-01-18DOI: 10.1080/03081087.2024.2304151
Saikat Roy, Debmalya Sain, Ryotaro Tanaka
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...
{"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}
Pub Date : 2024-01-18DOI: 10.1080/03081087.2023.2295924
Agurtzane Amparan, Silvia Marcaida, Ion Zaballa
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...
{"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}
Pub Date : 2024-01-18DOI: 10.1080/03081087.2024.2304686
Jorge Delgado, Héctor Orera, J. M. Peña
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...
{"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}
Pub Date : 2024-01-18DOI: 10.1080/03081087.2024.2304694
Seung-Hyeok Kye
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...
将矩阵 x 送到 s∗xs 的正线性映射 Ads 在量子信息论和矩阵理论中发挥着重要作用。它由 [Marciniak M. Rank properties of exposed pos...
{"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}
Pub Date : 2024-01-16DOI: 10.1080/03081087.2024.2303732
Yu Wang, Jinyang Zhang, Huyile Liang
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. ...
{"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}
Pub Date : 2024-01-16DOI: 10.1080/03081087.2024.2303727
Roksana Słowik
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...
{"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}
Pub Date : 2024-01-10DOI: 10.1080/03081087.2023.2300676
Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki
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...
{"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}
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