Eigenvectors of certain matrices
نویسندگان
چکیده
منابع مشابه
Accurate Eigenvectors of Oscillatory Matrices
The purpose of this report is to investigate the possibilities for accurate computation of eigenvectors of (unsymmetric) oscillatory matrices. The goal is to decide what “accurate” means, to determine whether the eigenvectors are determined “accurately” in that sense, and to engineer algorithms that will guarantee that accuracy. It is desirable for the computed eigenvector matrix to inherit the...
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Nath and Paul (Linear Algebra Appl., 460 (2014), 97-110) have shown that the largest distance Laplacian eigenvalue of a path is simple and the corresponding eigenvector has properties similar to the Fiedler vector. We given an alternative proof, establishing a more general result in the process. AMS Classification: 05C05, 05C50
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This paper is continuation of previous work by the present author, where explicit formulas for the eigenvalues associated with several tridiagonal matrices were given. In this paper the associated eigenvectors are calculated explicitly. As a consequence, a result obtained by WenChyuan Yueh and independently by S. Kouachi, concerning the eigenvalues and in particular the corresponding eigenvecto...
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Eigenvectors of large matrices (and graphs) play an essential role in combinatorics and theoretical computer science. The goal of this survey is to provide an up-to-date account on properties of eigenvectors when the matrix (or graph) is random.
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Spectral properties of special matrices matrices have been widely applied. We focus on monomial matrices over a finite field Fp, p 6= 2. We describe a way to find the minimal annihilating polynomial, a set of linearly independent eigenvectors.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1973
ISSN: 0024-3795
DOI: 10.1016/0024-3795(73)90049-9