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[PDF] Top 20 Eigenvalues and eigenvectors of Brualdi-Li tournament matrices

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Eigenvalues and eigenvectors of Brualdi-Li tournament matrices

Eigenvalues and eigenvectors of Brualdi-Li tournament matrices

... right(left) eigenvectors of Brualdi-Li tournament matrices by new methods, and that the Brualdi-Li tournament matrix has exactly one positive eigenvalue and exactly ... See full document

26

I. Eigenvectors and eigenvalues

I. Eigenvectors and eigenvalues

... of eigenvalues to computing the roots of the characteristic polynomial and the computation of eigenvectors to finding the solutions to the homogeneous linear systems of equations (A − λI)x = 0 where λ runs ... See full document

99

The Monte Carlo method to find eigenvalues and eigenvectors

The Monte Carlo method to find eigenvalues and eigenvectors

... In this paper we apply the Monte Carlo method to find the eigenvalues and the eigenvectors of a k symmetric matrix A. At first we add to the main diagonal of A a real number large enough to obtain a ... See full document

5

Inference for Eigenvalues and Eigenvectors in Exponential Families of Random Symmetric Matrices.

Inference for Eigenvalues and Eigenvectors in Exponential Families of Random Symmetric Matrices.

... covariance matrices, especially in Time Series Analysis and Longitudinal Data ...the eigenvalues and eigenvectors of a covariance matrix also have their own anatomical ... See full document

98

Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations

Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations

... _____________________________________________________________________________________________________ Abstract - This paper provides a method for solving systems of first order ordinary differential equations by using ... See full document

5

Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices

Relative perturbation results for eigenvalues and eigenvectors of diagonalisable matrices

... Similarly, Li [24, 25] derives bounds for eigenvalues of diagonal- isable matrices and for eigenvectors of Hermitian ...of eigenvalues of symmetric matrices by Jacobi's method ... See full document

13

Statistical properties of eigenvectors and eigenvalues of structured random matrices

Statistical properties of eigenvectors and eigenvalues of structured random matrices

... of eigenvalues and eigenvectors of random matrices is the central topic of Random Matrix Theory (RMT) [1] ...random matrices, which share the same global symmetries, but don’t contain any ... See full document

14

A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics

A Unified Algebraic Technique for Eigenvalues and Eigenvectors in Quaternionic and Split Quaternionic Mechanics

... studies eigenvalues and eigenvectors of the v-quaternion matrices by means of the complex representation of the v-quaternion matrices, and derives an algebraic technique to find the ... See full document

12

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors : a unified framework

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors : a unified framework

... simple eigenvalues and associated eigenvectors; clustered and multiple eigenvalues are dealt with in contribution [18] that we are now ...density matrices and actually provide guaranteed ... See full document

36

A Comparison of Methods for Computing the Eigenvalues and Eigenvectors of a Matrix  EUR 4055

A Comparison of Methods for Computing the Eigenvalues and Eigenvectors of a Matrix EUR 4055

... 2 we give the behaviour of the "computation time" taken by the routines VCTR for determining all the eigenvectors of real matrices of order nn ^ 50 on IBM 7090 and by the routine AMAT fo[r] ... See full document

106

On the eigenvalues and eigenvectors of block triangular preconditioned block matrices

On the eigenvalues and eigenvectors of block triangular preconditioned block matrices

... When A and C are Hermitian semidefinite it is known that P U −1 A and P L −1 A are similar [14, Remark 2]. (The case in which A is positive definite was also recently treated by Notay [16, Theorem 3.1].) For ... See full document

9

On large scale diagonalization techniques for the Anderson model of localization

On large scale diagonalization techniques for the Anderson model of localization

... Let us briefly recall the main ingredients necessary for this progress. At the heart of the new approach lies the use of symmetric matchings [38] in the precondi- tioning stage of the inverse-based incomplete ... See full document

22

The effects of Big Bang on the gilt edged market : term structure movements and market efficiency

The effects of Big Bang on the gilt edged market : term structure movements and market efficiency

... Eigenvalues and Eigenvectors for Spot Rate Movements Eigenvalues and Eigenvectors for Spot Rate Movements before Big Bang Eigenvalues and Eigenvectors for Spot Rate Movements after Big B[r] ... See full document

243

Exploring the Association between Network, Cognitive, Structural Social Capital and the Risk of Clinical Depression in Taiwan

Exploring the Association between Network, Cognitive, Structural Social Capital and the Risk of Clinical Depression in Taiwan

... the eigenvectors and setting components below that threshold to zero, the nodes corresponding to the remaining non-zero elements of the eigenvector are members of a ...other eigenvalues and their associated ... See full document

41

Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications

Bounds for Eigenvalues of Arrowhead Matrices and Their Applications to Hub Matrices and Wireless Communications

... arrowhead matrices have been used to describe radiationless transitions in isolated molecules [1] and oscillators vibrationally coupled with a Fermi liquid ...computing eigenvalues and eigenvectors ... See full document

12

Online Full Text

Online Full Text

... the eigenvalues on the diagonal, and E is the matrix consisting of all the ...The eigenvalues and eigenvectors of the covariance matrix of the collision signal represent the characteristics of the ... See full document

6

Spectral theory of networks : from biomolecular to ecological systems

Spectral theory of networks : from biomolecular to ecological systems

... Detecting bipartite substructures in complex networks It is known that the eigenvectors corresponding to positive eigenvalues give a partition of the network into clusters of tightly con[r] ... See full document

40

EVALUATION OF EIGEN VALUES AND EIGEN VECTORS FOR FREE VIBRATION ANALYSIS USING FINITE ELEMENT PROCEDURES

EVALUATION OF EIGEN VALUES AND EIGEN VECTORS FOR FREE VIBRATION ANALYSIS USING FINITE ELEMENT PROCEDURES

... the eigenvalues and eigenvectors which are the measure of the frequency of vibration and mode shapes the suitable method is to be selected by the analyst as per the requirements in design of ... See full document

11

Quaternion Quasi-Normal Matrices And Their Eigenvalues

Quaternion Quasi-Normal Matrices And Their Eigenvalues

... Two characterizing properties of a quaternion normal matrix A play an essential role in our discussion: (a) A can be quaternion unitarily diagonalized and (b) a nonzero vector x is a right  − eigenvector of A ( Ax =  x ... See full document

11

Eigenvectors of Permutation Matrices

Eigenvectors of Permutation Matrices

... Permutation matrices are orthogonal matrices, and therefore its set of eigenvalues is contained in the set of roots of ...permutation matrices is again a permutation ...Permutation ... See full document

5

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