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Symplectic eigenvector expansion theorem of a class of operator matrices arising from elasticity theory 认领 引用
1
作者 王华 阿拉坦仓 黄俊杰 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第1期92-97,共6页
This paper deals with the completeness of the eigenvector system of a class of operator matrices arising from elasticity theory, i.e., symplectic eigenvector expansion theorem. Under certain conditions, the symplectic... This paper deals with the completeness of the eigenvector system of a class of operator matrices arising from elasticity theory, i.e., symplectic eigenvector expansion theorem. Under certain conditions, the symplectic orthogonality of eigenvectors of the operator matrix is demonstrated. Based on this, a necessary and sufficient condition for the completeness of the eigenvector system of the operator matrix is given. Furthermore, the obtained results are tested for the free vibration of rectangular thin plates. 展开更多
关键词 operator matrix eigenvector completeness eigenvector expansion theorem
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COMPUTING THE EIGENVECTORS OF A MATRIX WITH MULTIPLEX EIGENVALUES BY SVD METHOD 认领 引用
2
作者 迟彬 叶庆凯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第3期257-262,共6页
Every matrix is similar to a matrix in Jordan canonical form,which has very important sense in the theory of linear algebra and its engineering application.For a matrix with multiplex eigenvalues,an algorithm based on... Every matrix is similar to a matrix in Jordan canonical form,which has very important sense in the theory of linear algebra and its engineering application.For a matrix with multiplex eigenvalues,an algorithm based on the singular value decomposition(SVD) for computing its eigenvectors and Jordan canonical form was proposed.Numerical simulation shows that this algorithm has good effect in computing the eigenvectors and its Jordan canonical form of a matrix with multiplex eigenvalues.It is superior to MATLAB and MATHEMATICA. 展开更多
关键词 multiplex eigenvalue eigenvector eigenvector chain Jordan canonical form
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Geography of Talent in China During 2000-2015:An Eigenvector Spatial Filtering Negative Binomial Approach 认领 引用 被引量：7
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作者 GU Hengyu Francisco ROWE +1 位作者 LIU Ye SHEN Tiyan 《Chinese Geographical Science》 SCIE CSCD 2021年第2期297-312,共16页
The increase in China’s skilled labor force has drawn much attention from policymakers,national and international firms and media.Understanding how educated talent locates and re-locates across the country can guide ... The increase in China’s skilled labor force has drawn much attention from policymakers,national and international firms and media.Understanding how educated talent locates and re-locates across the country can guide future policy discussions of equality,firm localization and service allocation.Prior studies have tended to adopt a static cross-national approach providing valuable insights into the relative importance of economic and amenity differentials driving the distribution of talent in China.Yet,few adopt longitudinal analysis to examine the temporal dynamics in the stregnth of existing associations.Recently released official statistical data now enables space-time analysis of the geographic distribution of talent and its determinants in China.Using four-year city-level data from national population censuses and 1%population sample surveys conducted every five years between 2000 and 2015,we examine the spatial patterns of talent across Chinese cities and their underpinning drivers evolve over time.Results reveal that the spatial distribution of talent in China is persistently unequal and spatially concentrated between 2000 and 2015.It also shows gradually strengthened and significantly positive spatial autocorrelation in the distribution of talent.An eigenvector spatial filtering negative binomial panel is employed to model the spatial determinants of talent distribution.Results indicate the influences of both economic opportunities and urban amenities,particularly urban public services and greening rate,on the distribution of talent.These results highlight that urban economic-and amenity-related factors have simultaneously driven China’s talent’s settlement patterns over the first fifteen years of the 21st century. 展开更多
关键词 talent distribution determinants eigenvector spatial filtering panel data analysis China
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Eigenvector Method for Ranking Alternatives with Vague Value Measurements 认领 引用 被引量：6
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作者 侯福均 吴祈宗 《Journal of Beijing Institute of Technology》 EI CAS 2009年第2期247-252,共6页
An eigenvector method for ranking alternatives whose measurements are given as vague values is provided. Firstly, a positive matrix is constructed which is defined as evaluation information matrix （EIM）. Based on fo... An eigenvector method for ranking alternatives whose measurements are given as vague values is provided. Firstly, a positive matrix is constructed which is defined as evaluation information matrix （EIM）. Based on four assumptions for evaluating alternatives, a ranking eigenvector is defined. And then it is proved, based on positive matrix theory, that the EIM＇s eigenvector corresponding to the maximal eigenvalue is the ranking vector. For alternatives whose characteristics are presented by vague sets, the proposed techniques can evaluate the degree of suitability to which an alternative satisfies the decision-maker＇ s requirement efficiently. 展开更多
关键词 decision analysis vague set positive matrix eigenvector alternative ranking
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Multi-attribute decision-making based on subjective and objective integrated eigenvector method 认领 引用 被引量：13
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作者 龚艳冰 陈森发 《Journal of Southeast University(English Edition)》 EI CAS 2007年第1期144-147,共4页
An integrated approach is proposed to investigate the fuzzy multi-attribute decision-making （MADM） problems, where subjective preferences are expressed by a pairwise comparison matrix on the relative weights of attr... An integrated approach is proposed to investigate the fuzzy multi-attribute decision-making （MADM） problems, where subjective preferences are expressed by a pairwise comparison matrix on the relative weights of attributes and objective information is expressed by a decision matrix. An eigenvector method integrated the subjective fuzzy preference matrix and objective information is proposed. Two linear programming models based on subjective and objective information are introduced to assess the relative importance weights of attributes in an MADM problem. The simple additive weighting method is utilized to aggregate the decision information, and then all the alternatives are ranked. Finally, a numerical example is given to show the feasibility and effectiveness of the method. The result shows that it is easier than other methods of integrating subjective and objective information. 展开更多
关键词 multi-attribute decision-making eigenvector method alternative ranking
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Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems 认领 引用 被引量：1
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作者 解惠青 戴华 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第6期837-845,共9页
A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the s... A procedure is presented for computing the derivatives of repeated eigenvalues and the corresponding eigenvectors of damped systems. The derivatives are calculated in terms of the eigenvalues and eigenvectors of the second-order system, and the use of rather undesirable state space representation is avoided. Hence the cost of computation is greatly reduced. The efficiency of the proposed procedure is illustrated by considering a 5-DOF non-proportionally damped system. 展开更多
关键词 eigenvalue derivatives eigenvector derivatives sensitivity analysis damped systems repeated eigenvalues
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Time Eigenvectors and Their Applications 认领 引用 被引量：1
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作者 FENG Kaiyin HUANG Xiangyou 《Chinese Physics Letters》 SCIE CAS 1992年第2期57-60,共4页
Time eigenvectors and time operator are constructed from energy eigenvectors of system.Some features of them are described.Their applications to harmonic oscillating system and to double wave description of system are... Time eigenvectors and time operator are constructed from energy eigenvectors of system.Some features of them are described.Their applications to harmonic oscillating system and to double wave description of system are discussed. 展开更多
关键词 system eigenvector oscillating
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A FAMILY OF MODAL METHODS FOR COMPUTING EIGENVECTOR DERIVATIVES WITH REPEATED ROOTS 认领 引用 被引量：2
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作者 王文亮 《Acta Mechanica Sinica》 SCIE EI CAS 1996年第2期158-168,共11页
A family of modal methods for computing eigenvector derivatives with repeated roots are directly derived from the constraint generalized inverse technique which is originally formulated by Wang and Hu. Extensions are ... A family of modal methods for computing eigenvector derivatives with repeated roots are directly derived from the constraint generalized inverse technique which is originally formulated by Wang and Hu. Extensions are made to Akgun's method to allow treatment of eigensensitivity with repeated roots for general nondefective systems, and Bernard and Bronowicki's modal expansion approach is expanded to a family of modal methods. 展开更多
关键词 a family of modal methods nondefective system eigenvector derivative eigensensitivity with repeated roots
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A Decorrelating DOA Estimation Based on the Principal Eigenvector for CDMA Frequency-Selective Fading Channels 认领 引用
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作者 杨维 蒋朱成 程时昕 《Journal of Southeast University(English Edition)》 CAS 2001年第2期14-17,共4页
A novel decorrelating DOA estimation algorithm of multipath signals for CDMA frequency selective fading channels based only on the principal eigenvector of its corresponding covariance matrix is proposed. The proposed... A novel decorrelating DOA estimation algorithm of multipath signals for CDMA frequency selective fading channels based only on the principal eigenvector of its corresponding covariance matrix is proposed. The proposed algorithm has the advantages that the DOAs of the multipath signals can be estimated independently and all the other resolved multipath signal interference is eliminated. Simulation results show that this algorithm estimates the DOAs of multipath signals efficiently and accurately.  展开更多
关键词 decorrelating DOA estimation antenna array CDMA system eigenvector
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Code-aided Interference Suppression in Direct Sequence Spread Spectrum Systems with Eigenvector Sign Spreading Code 认领 引用
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作者 王澄 应忍冬 杨宇航 《Journal of Shanghai Jiaotong university(Science)》 EI 2009年第3期350-353,共4页
For direct sequence spread spectrum (DSSS) communication systems suffering interference, it is known that code-aided interference suppression technique outperforms all of the previous linear or nonlinear methods. In t... For direct sequence spread spectrum (DSSS) communication systems suffering interference, it is known that code-aided interference suppression technique outperforms all of the previous linear or nonlinear methods. In this paper, we proposed an improved code-aided technique which can improve the system performance greatly by using the eigenvector sign (EVS) spreading sequence which depends on the statistical characteristics of the interference and the thermal noise. 展开更多
关键词 interference suppression direct sequence spread spectrum （DSSS） code-aided technique eigenvector sign （EVS） sequence
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Some Properties of Eigenvalues and Eigenvectors of Wilkinson Matrices 认领 引用
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作者 吴笑千 陈德强 《Journal of Donghua University(English Edition)》 EI CAS 2011年第2期145-148,共4页
Some properties of characteristic polynomials, eigenvalues, and eigenvectors of the Wilkinson matrices W2n＋1 and W2n＋1 are presented. It is proved that the eigenvalues of W2n＋1 just are the eigenvalues of its leadi... Some properties of characteristic polynomials, eigenvalues, and eigenvectors of the Wilkinson matrices W2n＋1 and W2n＋1 are presented. It is proved that the eigenvalues of W2n＋1 just are the eigenvalues of its leading principal submatrix Vn and a bordered matrix of Vn. Recurrence formula are given for the characteristic polynomial of W2＋n＋1 . The eigenvectors of W2＋n＋1 are proved to be symmetric or skew symmetric. For W2n＋1 , it is found that its eigenvalues are zero and the square roots of the eigenvalues of a bordered matrix of Vn2. And the eigenvectors of W2n＋1 , which the corresponding eigenvahies are opposite in pairs, have close relationship. 展开更多
关键词 characteristic polynomial eigenvalue eigenvector Wilkinson matrix
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EIGENVECTORS OF SYSTEM OF HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES ANDAPPLICATIONS 认领 引用
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作者 娄本东 《Acta Mathematica Scientia》 SCIE 2000年第1期55-62,共8页
In this paper, the author investigates the existence of eigenvectors of system of Hammerstein integral equations in Banach spaces by means of fixed point index theory. He also gives some applications to a system of S ... In this paper, the author investigates the existence of eigenvectors of system of Hammerstein integral equations in Banach spaces by means of fixed point index theory. He also gives some applications to a system of S turm-Liouville problems of ordinary differential equations. 展开更多
关键词 eigenvectors Hammerstein integral equations fixed point index
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An enhanced method for estimating snow water equivalent in the central part of the Tibetan Plateau using raster segmentation and eigenvector spatial filtering regression model 认领 引用 被引量：1
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作者 CHENG Qi-shan CHEN Yu-min +3 位作者 YANG Jia-xin CHEN Yue-jun XIONG Zhe-xin ZHOU An-nan 《Journal of Mountain Science》 SCIE CSCD 2022年第9期2570-2586,共17页
Snow water equivalent(SWE)is an important factor reflecting the variability of snow.It is important to estimate SWE based on remote sensing data while taking spatial autocorrelation into account.Based on the segmentat... Snow water equivalent(SWE)is an important factor reflecting the variability of snow.It is important to estimate SWE based on remote sensing data while taking spatial autocorrelation into account.Based on the segmentation method,the relationship between SWE and environmental factors in the central part of the Tibetan Plateau was explored using the eigenvector spatial filtering(ESF)regression model,and the influence of different factors on the SWE was explored.Three sizes of 16×16,24×24 and 32×32 were selected to segment raster datasets into blocks.The eigenvectors of the spatial adjacency matrix of the segmented size were selected to be added into the model as spatial factors,and the ESF regression model was constructed for each block in parallel.Results show that precipitation has a great influence on SWE,while surface temperature and NDVI have little influence.Air temperature,elevation and surface temperature have completely different effects in different areas.Compared with the ordinary least square(OLS)linear regression model,geographically weighted regression(GWR)model,spatial lag model(SLM)and spatial error model(SEM),ESF model can eliminate spatial autocorrelation with the highest accuracy.As the segmentation size increases,the complexity of ESF model increases,but the accuracy is improved. 展开更多
关键词 Snow water equivalent Tibetan Plateau Raster segmentation Parallel eigenvector spatial filtering
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A Construction of Multi-Sender Authentication Codes from Eigenvalues and Eigenvectors of the Matrix Over Finite Fields 认领 引用
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作者 Xiuli Wang Lina Wang Yakun Hao 《Journal of Harbin Institute of Technology(New Series)》 CAS 2019年第1期51-60,共10页
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... 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 attack of this code are also computed. For multi-sender authentication code,it allows a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message. 展开更多
关键词 multi-sender authentication codes nonsingular symmetric matrix eigenvalues eigenvectors finite fields
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类星体中射电强度与Eigenvector 1的关系 认领 引用
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作者 王永江 商朝晖 《天津师范大学学报（自然科学版）》 CAS 2017年第4期20-24,共5页
为揭示射电强度R与Eigenvector1的联系,以SDSSDR7中的类星体源为母样本,通过限制基础物理参数黑洞质量和爱丁顿吸积率的范围选择研究样本,并根据射电强度R将样本分为不同的区间建立复合谱,用以探究Eigenvector1中典型观测参数随射电强度... 为揭示射电强度R与Eigenvector1的联系,以SDSSDR7中的类星体源为母样本,通过限制基础物理参数黑洞质量和爱丁顿吸积率的范围选择研究样本,并根据射电强度R将样本分为不同的区间建立复合谱,用以探究Eigenvector1中典型观测参数随射电强度R的变化.结果表明:射电强度只与[OⅢ]线的强度正相关,而与光学FeⅡ线强度无关,说明射电辐射只是Eigenvector1中的二级过程,不是驱动因素. 展开更多
关键词 射电强度 Eigenvector 1 [OⅢ]发射线 光学FeⅡ发射线 类星体
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Adaptive Generalized Eigenvector Estimating Algorithm for Hermitian Matrix Pencil 认领 引用
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作者 Yingbin Gao 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第11期1967-1979,共13页
Generalized eigenvector plays an essential role in the signal processing field.In this paper,we present a novel neural network learning algorithm for estimating the generalized eigenvector of a Hermitian matrix pencil... Generalized eigenvector plays an essential role in the signal processing field.In this paper,we present a novel neural network learning algorithm for estimating the generalized eigenvector of a Hermitian matrix pencil.Differently from some traditional algorithms,which need to select the proper values of learning rates before using,the proposed algorithm does not need a learning rate and is very suitable for real applications.Through analyzing all of the equilibrium points,it is proven that if and only if the weight vector of the neural network is equal to the generalized eigenvector corresponding to the largest generalized eigenvalue of a Hermitian matrix pencil,the proposed algorithm reaches to convergence status.By using the deterministic discretetime(DDT)method,some convergence conditions,which can be satisfied with probability 1,are also obtained to guarantee its convergence.Simulation results show that the proposed algorithm has a fast convergence speed and good numerical stability.The real application demonstrates its effectiveness in tracking the optimal vector of beamforming. 展开更多
关键词 Deterministic discrete-time(DDT) generalized eigenvector learning rate online estimation
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Some ResuIts on the Principal Eigenvector 认领 引用 被引量：1
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作者 WU Chun-jie 《Chinese Quarterly Journal of Mathematics》 2020年第4期401-409,共9页
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... 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 to the largest eigenvalue of A(G)(resp. Q(G)). In this paper, an upper bound and lower bound for the sum of the squares of the entries of the principal eigenvector of Q(G) corresponding to the vertices of an independent set are obtained. 展开更多
关键词 Signless Laplacian Principal eigenvector Independent set k-Regular Semiregular
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Derivation of Floquet Eigenvectors Displacement for Optimal Design of LC Tank Pulsed Bias Oscillators 认领 引用 被引量：1
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作者 Stefano Perticaroli Nikend Luli Fabrizio Palma 《Circuits and Systems》 2011年第4期311-319,共9页
The paper presents an approximated and compact derivation of the mutual displacement of Floquet eigenvectors in a class of LC tank oscillators with time varying bias. In particular it refers to parallel tank oscillato... The paper presents an approximated and compact derivation of the mutual displacement of Floquet eigenvectors in a class of LC tank oscillators with time varying bias. In particular it refers to parallel tank oscillators of which the energy restoring can be modeled through a train of current pulses. Since Floquet eigenvectors are acknowledged to give a correct decomposition of noise perturbations along the stable orbit in oscillator's space state, an analytical and compact model of their displacement can provide useful criteria for designers. The goal is to show, in a simplified case, the achievement of oscillators design oriented by eigenvectors. To this aim, minimization conditions of the effect of stationary and time varying noise as well as the contribution of jitter noise introduced by driving electronics are deduced from analytical expression of eigenvectors displacement. 展开更多
关键词 Floquet Eigenvectors Noise Decomposition Pulsed Bias Oscillator Oscillator Phase Noise
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The Solution of the Eigenvector Problem in Synchrotron Radiation Based Anomalous Small-Angle X-Ray Scattering 认领 引用 被引量：1
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作者 Guenter Johannes Goerigk 《Advances in Linear Algebra & Matrix Theory》 2013年第4期59-68,共10页
In the last three decades Synchrotron radiation became an indispensable experimental tool for chemical and structural analysis of nano-scaled properties in solid state physics, chemistry, materials science and life sc... In the last three decades Synchrotron radiation became an indispensable experimental tool for chemical and structural analysis of nano-scaled properties in solid state physics, chemistry, materials science and life science thereby rendering the explanation of the macroscopic behavior of the materials and systems under investigation. Especially the techniques known as Anomalous Small-Angle X-ray Scattering provide deep insight into the materials structural architecture according to the different chemical components on lengths scales starting just above the atomic scale (≈1 nm) up to several 100 nm. The techniques sensitivity to the different chemical components makes use of the energy dependence of the atomic scattering factors, which are different for all chemical elements, thereby disentangling the nanostructure of the different chemical components by the signature of the elemental X-ray absorption edges i.e. by employing synchrotron radiation. The paper wants to focus on the application of an algorithm from linear algebra in the field of synchrotron radiation. It provides a closer look to the algebraic prerequisites, which govern the system of linear equations established by these experimental techniques and its solution by solving the eigenvector problem. The pair correlation functions of the so-called basic scattering functions are expressed as a linear combination of eigenvectors. 展开更多
关键词 Matrix Inversion Eigenvalues Eigenvectors Pair Correlation Functions Basic Scattering Functions
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Eigenvectors of Permutation Matrices 认领 引用 被引量：1
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作者 M. Isabel Garca-Planas M. Dolors Magret 《Advances in Pure Mathematics》 2015年第7期390-394,共5页
The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polyn... The spectral properties of special matrices have been widely studied, because of their applications. We focus on permutation matrices over a finite field and, more concretely, we compute the minimal annihilating polynomial, and a set of linearly independent eigenvectors from the decomposition in disjoint cycles of the permutation naturally associated to the matrix. 展开更多
关键词 Permutation Matrices Eigenvalues Eigenvectors
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