نتایج جستجو برای: eigenvalue and eigenvector

تعداد نتایج: 16831358  

Journal: :international journal of mathematical modelling and computations 0
f. sotoude vanoliya department of statistics, university of mazandaran, iran a. pourdarvish heydari department of statistics, university of mazandaran, iran

the analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. variety of methods are used in order to search stock cross-correlations including the random matrix theory (rmt), the principal component analysis (pca) and the hierachical ‎structures.‎ in ‎this work‎, we analyze cross-crrelations between price fluctuations of 20 ‎company ‎stocks‎‎...

2011
Jim Lambers

The superscript H refers to the Hermitian transpose, which includes transposition and complex conjugation. That is, for any matrix A, AH = AT . An eigenvector of A, as defined above, is sometimes called a right eigenvector of A, to distinguish from a left eigenvector. It can be seen that if y is a left eigenvector of A with eigenvalue λ, then y is also a right eigenvector of AH , with eigenvalu...

2010
Jim Lambers

The superscript H refers to the Hermitian transpose, which includes transposition and complex conjugation. That is, for any matrix A, AH = AT . An eigenvector of A, as defined above, is sometimes called a right eigenvector of A, to distinguish from a left eigenvector. It can be seen that if y is a left eigenvector of A with eigenvalue , then y is also a right eigenvector of AH , with eigenvalue...

The undirected power graph of a finite group $G$, $P(G)$, is a graph with the group elements of $G$ as vertices and two vertices are adjacent if and only if one of them is a power of the other. Let $A$ be an adjacency matrix of $P(G)$. An eigenvalue $lambda$ of $A$ is a main eigenvalue if the eigenspace $epsilon(lambda)$ has an eigenvector $X$ such that $X^{t}jjneq 0$, where $jj$ is the all-one...

Can we characterize the wavelets through linear transformation? the answer for this question is certainly YES. In this paper we have characterized the Haar wavelet matrix by their linear transformation and proved some theorems on properties of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.

2004
Kyong B. Lim

An improved method is developed for eigenvalue and eigenvector placement of a closed-loop control system using either state or output feedback. The method basically consists of three steps. First, the singular value or QR decomposition is used to generate an orthonormal basis that spans admissible eigenvector space corresponding to each assigned eigenvalue. Second, given a unitary matrix, the e...

Journal: :Journal of Mathematical Analysis and Applications 2008

2015

1 Preliminaries • p. 28 l. -2 : Insert ‘provided the automaton is complete’ after ‘The matrix M/k is stochastic’. • p. 30 l. Replace lines 3–17 by : Applying by induction the theorem to U and W , we obtain nonnegative eigenvectors u and w for the eigenvalues ρU and ρW of U and W . We prove that max(ρU , ρW ) is an eigenvalue of M with some nonnegative eigenvector. If ρU ≥ ρW , then ρU is an eig...

Journal: :IEEE Transactions on Automatic Control 1978

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