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EIGENVECTOR: 作品数：79被引量：90H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：程时昕刘希玉杨维赵世佳林令娟更多>>; 相关机构：密西西比大学东南大学天津师范大学山东师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划福建省自然科学基金更多>>

A Note on the Aα-Spectral Radius of a Graph: 《Journal of Mathematical Research with Applications》2023年第1期1-8,共8页Hongzhang CHEN Jianxi LI; Supported by the National Natural Science Foundation of China(Grant No.12171089);the Natural Science Foundation of Fujian Province(Grant No.2021J02048).; Let G be a simple graph of order n and ρα(G) be the Aα(G)-spectral radius of G.In this note,for any vertex viof G,we establish the relationship between ρα(G) and ρα(G-vi).; 关键词：GRAPH Aα-spectral radius Principal eigenvector

Nondegeneracy of eigenvectors and singular vector tuples of tensors: 《Science China Mathematics》2022年第12期2483-2492,共10页Shenglong Hu; supported by National Natural Science Foundation of China(Grant No.11771328);Young Elite Scientists Sponsorship Program by Tianjin and the Natural Science Foundation of Zhejiang Province of China(Grant No.LD19A010002)。; In this article, nondegeneracy of singular vector tuples, Z-eigenvectors and eigenvectors of tensors is studied, which have found many applications in diverse areas. The main results are:(ⅰ)each(Z-)eigenvector/singul...; 关键词：tensor singular vector tuple EIGENVECTOR Z-eigenvector NONDEGENERACY generic

Total Graphs Are Laplacian Integral: 《Algebra Colloquium》2022年第3期427-436,共10页David Dolžan Polona Oblak; the financial support from the Slovenian Research Agency(research core funding No.P1-0222).; We prove that the Laplacian matrix of the total graph of a finite commutative ring with identity has integer eigenvalues and present a recursive formula for computing its eigenvalues and eigenvectors.We also prove tha...; 关键词：EIGENVALUE EIGENVECTOR Laplacian matrix total graph Laplacian integral

The Least Eigenvalue of Unicyclic Graphs with Application to Spectral Spread被引量：1: 《Algebra Colloquium》2022年第2期265-272,共8页Jiming Guo Gege Zhang Zhiwen Wang Panpan Tong; supported by NSFC(No.12171154).; Let U^(g)_(n)be the set of connected unicyclic graphs of order n and girth g.Let C(T_(1),T_(2),…,T_(g))∈U^(g)_(n)be obtained from a cycle v_(1)v_(2)…v_(g)v_(1)(in an anticlockwise direction)by identifying v_(i)with...; 关键词：adjacency matrix least eigenvalue EIGENVECTOR unicyclic graph

The Maximum α-spectral Radius of Unicyclic Hypergraphs with Fixed Diameter: 《Acta Mathematica Sinica,English Series》2022年第5期924-936,共13页Li Ying KANG Jing WANG Er Fang SHAN; Supported by the National Nature Science Foundation of China(Grant Nos.11871329,11971298)。; For 0≤α<1,theα-spectral radius of an r-uniform hypergraph G is the spectral radius of A_(α)(G)=αD(G)+(1-α)A(G),where D(G)and A(G)are the diagonal tensor of degrees and adjacency tensor of G,respectively.In this ...; 关键词：Unicyclic hypergraph α-spectral radius principal eigenvector DIAMETER pendant edge

The Solely Use of the “Hydraulic-Diameter” Concept Is Not Sufficient to Describe Correctly Non-Symmetric Flow in Conduits: 《Open Journal of Fluid Dynamics》2021年第4期210-250,共41页Christos Krimizis-Tsatsoulis; A well-known cornerstone in fluid mechanics is the equations that relate the friction factor to the Reynolds number obtained from the measurements in cylindrical cross-sectional tubes. The extension of these equations...; 关键词：Fluid Mechanics Hydraulic Diameter Flow in Annuli Flow in Ducts Flow of Two Adjacent Immiscible Fluids Eigenvectors-Eigenvalues

ACCELERATED OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS被引量：1: 《Journal of Computational Mathematics》2021年第2期207-226,共20页Jonathan W.Siegel; We develop a generalization of Nesterov’s accelerated gradient descent method which is designed to deal with orthogonality constraints.To demonstrate the effectiveness of our method,we perform numerical experiments w...; 关键词：Riemannian optimization Stiefel manifold Accelerated gradient descent Eigenvector problems Electronic structure calculations

Some ResuIts on the Principal Eigenvector被引量：1: 《Chinese Quarterly Journal of Mathematics》2020年第4期401-409,共9页WU Chun-jie; For a simple connected graph G, let A(G) and Q(G) be the adjacency matrix and signless Laplacian matrix, respectively of G. The principal eigenvector of A(G)(resp.Q(G)) is the unit positive eigenvector corresponding t...; 关键词：Signless Laplacian Principal eigenvector Independent set k-Regular Semiregular

DGMRES Method Augmented with Eigenvectors for Computing the Drazin-inverse Solution of Singular Linear Systems: 《Acta Mathematicae Applicatae Sinica》2016年第2期549-558,共10页Bin MENG; Supported by the National Natural Science Foundation of China(No.11171151);Natural Science Foundation of Jiangsu Province of China(No.BK2011720); The DGMRES method for solving Drazin-inverse solution of singular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates. We show that adding s...; 关键词：Drazin-inverse DGMRES Krylov subspace iterative method EIGENVECTOR

Two Eigenvector Theorems: 《Advances in Linear Algebra & Matrix Theory》2016年第1期11-16,共6页Raghuram Prasad Dasaradhi V. V. Haragopal; In this paper, we established a connection between a square matrix “A” of order “n” and a matrix defined through a new approach of the recursion relation . (where is any column matrix with n real elements). Now ...; 关键词：Characteristic Equation Minimal Polynomial EIGENVALUES EIGENVECTORS Vander Monde Matrix Jacobi Block Matrix

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