Spectral properties of Jacobi matrices
Copyright policy )Spectral properties of Jacobi matrices
Real Jacobi (tridiagonal) matrices in which the products of the corresponding nondiagonal elements are positive are considered. Theorem 1 of this paper gives new evaluations (from above and below) of both maximal and minimal eigenvalues of a Jacobi matrix. Several consequences including inequalities for the spectral radius are shown. Four numerical examples of order 4 and 5 are given. On those examples the author's evaluations are shown to be much tighter than others existing in the literature.
- North-West State Technical University Russian Federation
spectral radius, tridiagonal, numerical examples, Eigenvalues, singular values, and eigenvectors, Jacobi matrix, maximal and minimal eigenvalues, Hermitian, skew-Hermitian, and related matrices, Inequalities involving eigenvalues and eigenvectors
spectral radius, tridiagonal, numerical examples, Eigenvalues, singular values, and eigenvectors, Jacobi matrix, maximal and minimal eigenvalues, Hermitian, skew-Hermitian, and related matrices, Inequalities involving eigenvalues and eigenvectors
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