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Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra 还原双四元数代数中混合最小二乘法和总最小二乘法问题的代数技术
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-30 DOI: 10.1080/03081087.2024.2410205
Sk. Safique Ahmad, Neha Bhadala
{"title":"Algebraic technique for mixed least squares and total least squares problem in the reduced biquaternion algebra","authors":"Sk. Safique Ahmad, Neha Bhadala","doi":"10.1080/03081087.2024.2410205","DOIUrl":"https://doi.org/10.1080/03081087.2024.2410205","url":null,"abstract":"This paper presents the reduced biquaternion mixed least squares and total least squares (RBMTLS) method for solving an overdetermined system AX≈B in the reduced biquaternion algebra. The RBMTLS me...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"43 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142541817","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
Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components 含有椭圆成分的基本哈恩曲线倒数矩阵的统一方法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-25 DOI: 10.1080/03081087.2024.2414830
Muyan Jiang, Ilya M. Spitkovsky
{"title":"Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components","authors":"Muyan Jiang, Ilya M. Spitkovsky","doi":"10.1080/03081087.2024.2414830","DOIUrl":"https://doi.org/10.1080/03081087.2024.2414830","url":null,"abstract":"We consider tridiagonal matrices (aij)i,j=1n with constant main diagonal and such that ai,i+1ai+1,i=1 for i=1,…,n−1. For these matrices, criteria are established under which their Kippenhahn curves...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"17 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142541816","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 some building blocks of hypergraphs 关于超图的一些构件
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-10-23 DOI: 10.1080/03081087.2024.2417213
Anirban Banerjee, Samiron Parui
{"title":"On some building blocks of hypergraphs","authors":"Anirban Banerjee, Samiron Parui","doi":"10.1080/03081087.2024.2417213","DOIUrl":"https://doi.org/10.1080/03081087.2024.2417213","url":null,"abstract":"In this study, we explore the interrelation between hypergraph symmetries represented by equivalence relations on the vertex set and the spectra of operators associated with the hypergraph. We intr...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142490653","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 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
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