Pub Date : 2024-10-30DOI: 10.1080/03081087.2024.2410205
Sk. Safique Ahmad, Neha Bhadala
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...
{"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}
Pub Date : 2024-10-25DOI: 10.1080/03081087.2024.2414830
Muyan Jiang, Ilya M. Spitkovsky
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...
{"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}
Pub Date : 2024-10-23DOI: 10.1080/03081087.2024.2417213
Anirban Banerjee, Samiron Parui
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...
{"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}
Pub Date : 2024-10-21DOI: 10.1080/03081087.2024.2413635
Zhuo-Heng He, Andrii Dmytryshyn, Qing-Wen Wang
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...
{"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}
Pub Date : 2024-10-17DOI: 10.1080/03081087.2024.2411428
Antônio Francisco Neto
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...
{"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}
Pub Date : 2024-10-09DOI: 10.1080/03081087.2024.2413638
Dijana Mosić, Daochang Zhang
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...
{"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}
Pub Date : 2024-10-07DOI: 10.1080/03081087.2024.2413653
Luís Carvalho, Cristina Diogo, Sérgio Mendes, Helena Soares
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...
我们研究了四元希尔伯特空间上复数算子的基本数值范围及其与基本 S 谱的关系。我们给出了本质数值范围的新特征。
{"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}
Pub Date : 2024-10-04DOI: 10.1080/03081087.2024.2411429
M. H. Bien, M. Ramezan-Nassab, L. Q. Truong
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)...
{"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}
Pub Date : 2024-10-04DOI: 10.1080/03081087.2024.2410292
Nan Li, Xiaohong Cao, Jiong Dong
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...
希尔伯特空间上的有界线性算子 T 的性质 (R) 意味着，T-λI 为上半布劳德的 T 的近似点谱中的点λ 恰好是孤立点...
{"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}
Pub Date : 2024-10-01DOI: 10.1080/03081087.2024.2410994
Jason J. Molitierno
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...
在本文中，我们考虑了具有同构底层树的最大外平面图的瓶颈矩阵项。我们展示了当...
{"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}
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