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One sided star and core orthogonality of matrices 矩阵的单面星形和核心正交性
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-09-08 DOI: 10.1080/03081087.2024.2400482
D. E. Ferreyra, F. E. Levis, Saroj B. Malik, R. P. Moas
{"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}
引用次数: 0
Affine phase retrieval of quaternion signals 四元数信号的仿射相位检索
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-29 DOI: 10.1080/03081087.2024.2396579
Yun-Zhang Li, Ming Yang
{"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}
引用次数: 0
Sharp lower bounds for the Laplacian Estrada index of graphs 图的拉普拉斯-埃斯特拉达指数的尖锐下界
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-27 DOI: 10.1080/03081087.2024.2396132
Sasmita Barik, Tahir Shamsher
{"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}
引用次数: 0
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’ 更正 "J.Laderman, V. Pan, X.-H. Sha, On practical Alorithms for Accelerated Matrix Multiplication, Linear Algebra and its Applications.Sha, On practical Algorithms for Accelerated Matrix Multiplication, Linear Algebra and its Applications.第 162-164 卷（1992 年），第 557-588 页
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-19 DOI: 10.1080/03081087.2024.2391807
Jerzy S. Respondek
{"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}
引用次数: 0
(w,v)-core–EP inverse and (w,v)-pseudo-core inverse (w,v)-核心-EP 逆和(w,v)-伪核心逆
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-15 DOI: 10.1080/03081087.2024.2391805
Xavier Mary, Dijana Mosić, Huihui Zhu
{"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}
引用次数: 0
The core-EP inverse: a numerical approach for its acute perturbation 核心-EP 逆：对其急性扰动的数值方法
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-05 DOI: 10.1080/03081087.2024.2387736
Mengmeng Zhou, Jianlong Chen, Néstor Thome
{"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}
引用次数: 0
Entries of the bottleneck matrices of maximal outerplanar graphs 最大外平面图的瓶颈矩阵条目
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-05 DOI: 10.1080/03081087.2024.2386603
Jason J. Molitierno
{"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}
引用次数: 0
Global solutions of approximation problems in Krein spaces 克雷因空间近似问题的全局解决方案
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-08-02 DOI: 10.1080/03081087.2024.2385967
M. Contino
{"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}
引用次数: 0
Laplacian eigenvalue distribution, diameter and domination number of trees 树木的拉普拉卡特征值分布、直径和支配数
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-30 DOI: 10.1080/03081087.2024.2385991
Jiaxin Guo, Jie Xue, Ruifang Liu
{"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}
引用次数: 0
Constructing cospectral hypergraphs 构建共谱超图
IF 1.1 4区 数学
Linear & Multilinear Algebra Pub Date : 2024-07-25 DOI: 10.1080/03081087.2024.2382992
Aida Abiad, Antonina P. Khramova
{"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}
引用次数: 0
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