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A new system of sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra 四元数代数上具有任意数量方程和未知数的新西尔维斯特类矩阵方程组
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-21 DOI: 10.1080/03081087.2024.2413635
Zhuo-Heng He, Andrii Dmytryshyn, Qing-Wen Wang
{"title":"A new system of sylvester-like matrix equations with arbitrary number of equations and unknowns over the quaternion algebra","authors":"Zhuo-Heng He, Andrii Dmytryshyn, Qing-Wen Wang","doi":"10.1080/03081087.2024.2413635","DOIUrl":"https://doi.org/10.1080/03081087.2024.2413635","url":null,"abstract":"In this paper, we derive some practical necessary and sufficient conditions for the existence of a solution to a new system of coupled two-sided Sylvester-like matrix equations with arbitrary numbe...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"26 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452391","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 approach to MacMahon’s Partition Analysis and associated applications 麦克马洪分区分析的新方法及相关应用
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-17 DOI: 10.1080/03081087.2024.2411428
Antônio Francisco Neto
{"title":"A new approach to MacMahon’s Partition Analysis and associated applications","authors":"Antônio Francisco Neto","doi":"10.1080/03081087.2024.2411428","DOIUrl":"https://doi.org/10.1080/03081087.2024.2411428","url":null,"abstract":"We introduce a new elimination procedure for Partition Analysis to obtain generating functions free of Omega variables starting with a crude generating function containing or not factored polynomia...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"91 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588645","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
Weighted index-MP matrices 加权指数-MP 矩阵
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-09 DOI: 10.1080/03081087.2024.2413638
Dijana Mosić, Daochang Zhang
{"title":"Weighted index-MP matrices","authors":"Dijana Mosić, Daochang Zhang","doi":"10.1080/03081087.2024.2413638","DOIUrl":"https://doi.org/10.1080/03081087.2024.2413638","url":null,"abstract":"Solving certain systems of matrix equations, we generalize notions of index-MP, MP-index and MP-index-MP matrices defined for square matrices and we introduce novel types of rectangular matrices, t...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"25 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142541818","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
Quaternionic essential numerical range of complex operators 复算子的四元基本数值范围
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-07 DOI: 10.1080/03081087.2024.2413653
Luís Carvalho, Cristina Diogo, Sérgio Mendes, Helena Soares
{"title":"Quaternionic essential numerical range of complex operators","authors":"Luís Carvalho, Cristina Diogo, Sérgio Mendes, Helena Soares","doi":"10.1080/03081087.2024.2413653","DOIUrl":"https://doi.org/10.1080/03081087.2024.2413653","url":null,"abstract":"We study the essential numerical range of complex operators on a quaternionic Hilbert space and its relation with the essential S-spectrum. We give a new characterization of the essential numerical...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"224 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142384090","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
Decomposition of matrices into products of commutators of quadratic matrices 将矩阵分解为二次矩阵的换元乘积
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-04 DOI: 10.1080/03081087.2024.2411429
M. H. Bien, M. Ramezan-Nassab, L. Q. Truong
{"title":"Decomposition of matrices into products of commutators of quadratic matrices","authors":"M. H. Bien, M. Ramezan-Nassab, L. Q. Truong","doi":"10.1080/03081087.2024.2411429","DOIUrl":"https://doi.org/10.1080/03081087.2024.2411429","url":null,"abstract":"Let F be a field, p(x) be a quadratic polynomial in F[x] with a non-zero constant term, and n≥2 be a positive integer. We say that T∈Mn(F) is p(x)-quadratic if p(T)=0. In this paper, given A∈SLn(F)...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"43 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142379267","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 new results on the property (R) under compact perturbations 关于紧凑扰动下性质 (R) 的一些新结果
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-04 DOI: 10.1080/03081087.2024.2410292
Nan Li, Xiaohong Cao, Jiong Dong
{"title":"Some new results on the property (R) under compact perturbations","authors":"Nan Li, Xiaohong Cao, Jiong Dong","doi":"10.1080/03081087.2024.2410292","DOIUrl":"https://doi.org/10.1080/03081087.2024.2410292","url":null,"abstract":"The property (R) for a bounded linear operator T on a Hilbert space means that the points λ in the approximate point spectrum of T for which T−λI is upper semi-Browder are exactly the isolated poin...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"31 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588681","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
Bottleneck matrices of maximal outerplanar graphs with isomorphic underlying trees 具有同构底层树的最大外平面图的瓶颈矩阵
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-01 DOI: 10.1080/03081087.2024.2410994
Jason J. Molitierno
{"title":"Bottleneck matrices of maximal outerplanar graphs with isomorphic underlying trees","authors":"Jason J. Molitierno","doi":"10.1080/03081087.2024.2410994","DOIUrl":"https://doi.org/10.1080/03081087.2024.2410994","url":null,"abstract":"In this paper, we consider the entries of the bottleneck matrices of maximal outerplanar graphs with isomorphic underlying trees. We show how the entries of the bottleneck matrix are perturbed when...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"21 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142431677","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
Relationships between net regularity, strong regularity and walk regularity of signed graphs 有符号图形的净正则性、强正则性和走正则性之间的关系
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-30 DOI: 10.1080/03081087.2024.2405044
Milica Anđelić, Tamara Koledin, Zoran Stanić
{"title":"Relationships between net regularity, strong regularity and walk regularity of signed graphs","authors":"Milica Anđelić, Tamara Koledin, Zoran Stanić","doi":"10.1080/03081087.2024.2405044","DOIUrl":"https://doi.org/10.1080/03081087.2024.2405044","url":null,"abstract":"In this paper, we consider relationships between net-regular, strongly regular and walk-regular signed graphs. There is no inclusion between any two of these classes, and we investigate conditions ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"43 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142384071","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
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants 用帕代近似法计算矩阵对数的理论误差估计
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-24 DOI: 10.1080/03081087.2024.2404455
Lidia Aceto, Fabio Durastante
{"title":"Theoretical error estimates for computing the matrix logarithm by Padé-type approximants","authors":"Lidia Aceto, Fabio Durastante","doi":"10.1080/03081087.2024.2404455","DOIUrl":"https://doi.org/10.1080/03081087.2024.2404455","url":null,"abstract":"In this article, we focus on the error that is committed when computing the matrix logarithm using the Gauss–Legendre quadrature rules. These formulas can be interpreted as Padé approximants of a s...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"14 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142321823","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
Gustafson, Jeribi, Weidmann and Wolf essential spectra and generator properties for one-sided coupled operator matrices 古斯塔夫森、杰里比、魏德曼和沃尔夫单边耦合算子矩阵的基本谱和生成器特性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-24 DOI: 10.1080/03081087.2024.2405048
Lei Zhao, Jing Xu, Junjie Huang
{"title":"Gustafson, Jeribi, Weidmann and Wolf essential spectra and generator properties for one-sided coupled operator matrices","authors":"Lei Zhao, Jing Xu, Junjie Huang","doi":"10.1080/03081087.2024.2405048","DOIUrl":"https://doi.org/10.1080/03081087.2024.2405048","url":null,"abstract":"This paper is concerned with the closedness (closability), essential spectra and generator properties for a one-sided coupled operator matrix A0 acting in a product of Banach spaces X and Y. By com...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313633","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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