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EIGENVECTORS: 作品数：51被引量：36H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《International Journal of Biomathematics》《Journal of Applied Mathematics and Physics》《Advances in Atmospheric Sciences》《Numerical Mathematics(Theory,Methods and Applications)》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国家高技术研究发展计划更多>>

Semi-regularized Hermitian and Skew-Hermitian Splitting Preconditioning for Saddle-Point Linear Systems: 《Communications on Applied Mathematics and Computation》2023年第4期1422-1445,共24页Kang-Ya Lu Shu-Jiao Li; the National Natural Science Foundation of China(No.12001048);R&D Program of Beijing Municipal Education Commission(No.KM202011232019),China.; In this paper,a two-step semi-regularized Hermitian and skew-Hermitian splitting(SHSS)iteration method is constructed by introducing a regularization matrix in the(1,1)-block of the first iteration step,to solve the s...; 关键词：Hermitian and skew-Hermitian splitting(HSS) EIGENVALUES EIGENVECTORS PRECONDITIONER Saddle-point linear system

Simplified Method of Stability Analysis of Nonlinear Systems without Using of Lyapunov Concept: 《Journal of Applied Mathematics and Physics》2023年第4期1049-1060,共12页Tarek Benmiloud; In this paper a new simplified method of stability study of dynamical nonlinear systems is proposed as an alternative to using Lyapunov’s method. Like the Lyapunov theorem, the new concept describes a sufficient cond...; 关键词：Stability Criterion of Nonlinear Systems EIGENVECTORS State-Space Representation Lyapunov Method

Measuring I/O-Production in Digital Economy: 《Chinese Business Review》2023年第1期15-21,共7页Jean-Francois Emmenegger Hassan Ahmed Nour Eldin; According to OECD standards(United Nations,2008),“productivity is commonly defined as a ratio of a volume measure of output to a volume measure of input use”.This ratio indicates how efficiently production inputs,su...; 关键词：Input-Output Table(IOT) productiveness commodityﬂow matrix Perron-Frobenius theorem Frobenius number EIGENVECTORS

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

Pseudo-orthogonality for graph 1-Laplacian eigenvectors and applications to higher Cheeger constants and data clustering: 《Frontiers of Mathematics in China》2022年第4期591-623,共33页Antonio Corbo ESPOSITO Gianpaolo PISCITELLI; supported by the MiUR-Dipartimenti di Eccellenza 2018–2022 grant“Sistemi distribuiti intelligenti”of Dipartimento di Ingegneria Elettrica e dell’Informazione“M.Scarano”,by the MiSE-FSC 2014–2020 grant“SUMMa:Smart Urban Mobility Management”,and by GNAMPA of INdAM.The authors would also like to thank D.A.La Manna and V.Mottola for the helpful conversations during the starting stage of this work.; The data clustering problem consists in dividing a data set into prescribed groups of homogeneous data.This is an NP-hard problem that can be relaxed in the spectral graph theory,where the optimal cuts of a graph are ...; 关键词：Graph 1-Laplacian graph Cheeger constants pseudo-orthogonality critical values data clustering

Certifying the Global Optimality of Quartic Minimization over the Sphere被引量：1: 《Journal of the Operations Research Society of China》2022年第2期241-287,共47页Sheng-Long Hu; This work is partially supported by the National Natural Science Foundation of China(No.11771328);Young Elite Scientists Sponsorship Program by Tianjin,and the Natural Science Foundation of Zhejiang Province,China(No.LD19A010002).; The quartic minimization over the sphere is an NP-hard problem in the general case.There exist various methods for computing an approximate solution for any given instance.In practice,it is quite often that a global o...; 关键词：Quartic minimization Tensor SPHERE Global optimality Elimination method Critical points EIGENVECTORS Determinant NONDEGENERATE Characteristic polynomial SDP relaxations Moment matrix Flatness POSITIVSTELLENSATZ Nonnegative polynomial Sums of squares Duality

A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics: 《Journal of Applied Mathematics and Physics》2019年第9期1929-1940,共12页Zhenwei Guo Gang Wang Dong Zhang Tongsong Jiang; This paper aims to present, in a unified manner, the algebraic techniques of eigen-problem which are valid on both the quaternions and split quaternions. This paper studies eigenvalues and eigenvectors of the v-quater...; 关键词：v-Quaternion Complex Representation QUATERNION SPLIT QUATERNION EIGENVALUES EIGENVECTORS

Fundamental Fields as Eigenvectors of the Metric Tensor in a 16-Dimensional Space-Time: 《Journal of Applied Mathematics and Physics》2019年第6期1304-1328,共25页Alberto Strumia; An alternative approach to the usual Kaluza-Klein way to field unification is presented which seems conceptually more satisfactory and elegant. The main idea is that of associating each fundamental interaction and mat...; 关键词：FIELD Theory FIELD Unification General RELATIVITY Standard Model ELEMENTARY Particles

Development of basic technique to improve seismic response accuracy of tributary area-based lumped-mass stick models: 《Earthquake Engineering and Engineering Vibration》2019年第1期113-127,共15页Yu-Chen Ou Ibrahim Hashlamon WooSeok Kim Hwasung Roh; Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education,Science and Technology under Grant No.20151D1A3A01020017; Although a detailed finite element(FE) model provides more precise results, a lumped-mass stick(LMS) model is preferred because of its simplicity and rapid computational time. However, the reliability of LMS models ha...; 关键词：lumped-mass STICK models seismic responses MODAL frequency EIGENVECTORS response ACCURACY

A Construction of Multi-Sender Authentication Codes from Eigenvalues and Eigenvectors of the Matrix Over Finite Fields: 《Journal of Harbin Institute of Technology(New Series)》2019年第1期51-60,共10页Xiuli Wang Lina Wang Yakun Hao; Sponsored by the National Natural Science Foundation of China(Grant No.61179026);the Fundamental Research of the Central Universities of China Civil Aviation University of Science Special(Grant No.3122016L005); We construct one multi-sender authentication code by algebraic combination method from eigenvalues and eigenvectors of the matrix over nite elds. Some parameters and the probabilities of three kinds of successful atta...; 关键词：multi-sender AUTHENTICATION codes NONSINGULAR symmetric matrix EIGENVALUES EIGENVECTORS finite fields

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