Pub Date : 2024-09-08DOI: 10.1080/03081087.2024.2400482
D. E. Ferreyra, F. E. Levis, Saroj B. Malik, R. P. Moas
We investigate two one-sided orthogonalities of matrices, the first of which is left (right) star-orthogonality for rectangular matrices and the other is left (right) core-orthogonality of index 1 ...
{"title":"One sided star and core orthogonality of matrices","authors":"D. E. Ferreyra, F. E. Levis, Saroj B. Malik, R. P. Moas","doi":"10.1080/03081087.2024.2400482","DOIUrl":"https://doi.org/10.1080/03081087.2024.2400482","url":null,"abstract":"We investigate two one-sided orthogonalities of matrices, the first of which is left (right) star-orthogonality for rectangular matrices and the other is left (right) core-orthogonality of index 1 ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142313636","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 : 2024-08-29DOI: 10.1080/03081087.2024.2396579
Yun-Zhang Li, Ming Yang
Quaternion algebra H is an extension of the complex number field, which is a noncommutative associative algebra. In recent years, quaternionic Fourier analysis has interested some mathematicians du...
四元数代数 H 是复数域的扩展，而复数域是非交换关联代数。近年来，四元数傅立叶分析引起了一些数学家的兴趣，他们认为四元数代数是一种...
{"title":"Affine phase retrieval of quaternion signals","authors":"Yun-Zhang Li, Ming Yang","doi":"10.1080/03081087.2024.2396579","DOIUrl":"https://doi.org/10.1080/03081087.2024.2396579","url":null,"abstract":"Quaternion algebra H is an extension of the complex number field, which is a noncommutative associative algebra. In recent years, quaternionic Fourier analysis has interested some mathematicians du...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142090007","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 : 2024-08-27DOI: 10.1080/03081087.2024.2396132
Sasmita Barik, Tahir Shamsher
Let G be a simple graph on n vertices, and let λ1,λ2,…,λn be the Laplacian eigenvalues of G. The Laplacian Estrada index of G is defined as LEE(G)=∑i=1neλi. Consider a graph G with n≥3 vertices, m ...
设 G 是 n 个顶点上的简单图，设 λ1,λ2,...,λn 为 G 的拉普拉奇特征值，G 的拉普拉奇埃斯特拉达指数定义为 LEE(G)=∑i=1neλi。考虑一个有 n≥3 个顶点、m ...
{"title":"Sharp lower bounds for the Laplacian Estrada index of graphs","authors":"Sasmita Barik, Tahir Shamsher","doi":"10.1080/03081087.2024.2396132","DOIUrl":"https://doi.org/10.1080/03081087.2024.2396132","url":null,"abstract":"Let G be a simple graph on n vertices, and let λ1,λ2,…,λn be the Laplacian eigenvalues of G. The Laplacian Estrada index of G is defined as LEE(G)=∑i=1neλi. Consider a graph G with n≥3 vertices, m ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142090004","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 : 2024-08-19DOI: 10.1080/03081087.2024.2391807
Jerzy S. Respondek
In this article, we corrected the trilinear formula for triple disjoint matrix multiplication given in the article ‘J. Laderman, V. Pan, X. H. Sha, On practical Algorithms for Accelerated Matrix Mu...
在本文中，我们修正了 "J. Laderman, V. Pan, X. H. Sha, On practical Algorithms for Accelerated Matrix Muments "一文中给出的三重不相邻矩阵乘法的三线性公式。Laderman，V. Pan，X. H. Sha，On practical Algorithms for Accelerated Matrix Mu...
{"title":"Correction of ‘J. Laderman, V. Pan, X.–H. Sha, On practical Algorithms for Accelerated Matrix Multiplication, Linear Algebra and its Applications. Vol. 162-164 (1992) pp. 557-588’","authors":"Jerzy S. Respondek","doi":"10.1080/03081087.2024.2391807","DOIUrl":"https://doi.org/10.1080/03081087.2024.2391807","url":null,"abstract":"In this article, we corrected the trilinear formula for triple disjoint matrix multiplication given in the article ‘J. Laderman, V. Pan, X. H. Sha, On practical Algorithms for Accelerated Matrix Mu...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142084948","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 : 2024-08-15DOI: 10.1080/03081087.2024.2391805
Xavier Mary, Dijana Mosić, Huihui Zhu
The core and core–EP inverses are two recent generalized inverses that were first introduced and studied for complex matrices, and later for elements of rings with involution. Afterward, weighted v...
{"title":"(w,v)-core–EP inverse and (w,v)-pseudo-core inverse","authors":"Xavier Mary, Dijana Mosić, Huihui Zhu","doi":"10.1080/03081087.2024.2391805","DOIUrl":"https://doi.org/10.1080/03081087.2024.2391805","url":null,"abstract":"The core and core–EP inverses are two recent generalized inverses that were first introduced and studied for complex matrices, and later for elements of rings with involution. Afterward, weighted v...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141994465","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 : 2024-08-05DOI: 10.1080/03081087.2024.2387736
Mengmeng Zhou, Jianlong Chen, Néstor Thome
This paper studies the concept of stable perturbation B∈Cn×n for the core-EP inverse of a matrix A∈Cn×n with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inv...
本文研究了指数为 k 的矩阵 A∈Cn×n 的核心-EP 逆的稳定扰动 B∈Cn×n 的概念。
{"title":"The core-EP inverse: a numerical approach for its acute perturbation","authors":"Mengmeng Zhou, Jianlong Chen, Néstor Thome","doi":"10.1080/03081087.2024.2387736","DOIUrl":"https://doi.org/10.1080/03081087.2024.2387736","url":null,"abstract":"This paper studies the concept of stable perturbation B∈Cn×n for the core-EP inverse of a matrix A∈Cn×n with index k. For a given stable perturbation B of A, explicit expressions of its core-EP inv...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899850","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 : 2024-08-05DOI: 10.1080/03081087.2024.2386603
Jason J. Molitierno
In this paper, we consider the entries of the bottleneck matrices of maximal outerplanar graphs. We recall patterns from [Kirkland SJ, Neumann M, Shader BL. Characteristic vertices of weighted tree...
在本文中，我们将考虑最大外平面图的瓶颈矩阵条目。我们回顾了 [Kirkland SJ, Neumann M, Shader BL.加权树状图的特征顶点...
{"title":"Entries of the bottleneck matrices of maximal outerplanar graphs","authors":"Jason J. Molitierno","doi":"10.1080/03081087.2024.2386603","DOIUrl":"https://doi.org/10.1080/03081087.2024.2386603","url":null,"abstract":"In this paper, we consider the entries of the bottleneck matrices of maximal outerplanar graphs. We recall patterns from [Kirkland SJ, Neumann M, Shader BL. Characteristic vertices of weighted tree...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899849","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 : 2024-08-02DOI: 10.1080/03081087.2024.2385967
M. Contino
Three approximation problems in Krein spaces are studied, namely the indefinite weighted least squares problem and the related problems of indefinite abstract splines and smoothing. In each case, w...
{"title":"Global solutions of approximation problems in Krein spaces","authors":"M. Contino","doi":"10.1080/03081087.2024.2385967","DOIUrl":"https://doi.org/10.1080/03081087.2024.2385967","url":null,"abstract":"Three approximation problems in Krein spaces are studied, namely the indefinite weighted least squares problem and the related problems of indefinite abstract splines and smoothing. In each case, w...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899801","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 : 2024-07-30DOI: 10.1080/03081087.2024.2385991
Jiaxin Guo, Jie Xue, Ruifang Liu
For a graph G with domination number γ, Hedetniemi, Jacobs and Trevisan (2016) proved that mG[0,1)≤γ, where mG[0,1) means the number of Laplacian eigenvalues of G in the interval [0,1). Let T be a ...
对于支配数为γ的图 G，Hedetniemi、Jacobs 和 Trevisan（2016）证明了 mG[0,1)≤γ，其中 mG[0,1) 表示 G 在区间 [0,1) 内的拉普拉斯特征值个数。假设 T 是一个 ...
{"title":"Laplacian eigenvalue distribution, diameter and domination number of trees","authors":"Jiaxin Guo, Jie Xue, Ruifang Liu","doi":"10.1080/03081087.2024.2385991","DOIUrl":"https://doi.org/10.1080/03081087.2024.2385991","url":null,"abstract":"For a graph G with domination number γ, Hedetniemi, Jacobs and Trevisan (2016) proved that mG[0,1)≤γ, where mG[0,1) means the number of Laplacian eigenvalues of G in the interval [0,1). Let T be a ...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899760","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 : 2024-07-25DOI: 10.1080/03081087.2024.2382992
Aida Abiad, Antonina P. Khramova
Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals w...
{"title":"Constructing cospectral hypergraphs","authors":"Aida Abiad, Antonina P. Khramova","doi":"10.1080/03081087.2024.2382992","DOIUrl":"https://doi.org/10.1080/03081087.2024.2382992","url":null,"abstract":"Spectral hypergraph theory mainly concerns using hypergraph spectra to obtain structural information about the given hypergraphs. The study of cospectral hypergraphs is important since it reveals w...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141899852","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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