Search Results

You are looking at 1 - 10 of 124 items for :

  • "eigenvalue" x
  • All content x
Clear All

47 – 50 . [19] Wu , J. 2009 Power sums of Hecke eigenvalues and application Acta Arith. 137 333

Restricted access

- 100 . [14] Shen , C. L. and Shieh , C. T. , Some properties of the first eigenvalue of the Laplace operator on the spherical band in S2

Restricted access

. [8] Fulton , C. T. 1977 Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions Proc. R. Soc. Edinburgh A77

Restricted access

Summary  

New results for the eigenvalue ratios of vibrating strings are presented partially in connection with previous results concerning Schrdinger operators.

Restricted access

Abstract  

We establish several comparison results on the eigenvalue gap for vibrating strings with symmetric single-well densities or symmetric double-well densities.

Restricted access

Abstract

In this article, the eigenvalues and eigenvectors of positive binomial operators are presented. The results generalize the previously obtained ones related to Bernstein operators. Illustrative examples are supplied.

Restricted access

Abstract  

Given a graph G with characteristic polynomial ϕ(t), we consider the ML-decomposition ϕ(t) = q 1(t)q 2(t)2 ... q m(t)m, where each q i(t) is an integral polynomial and the roots of ϕ(t) with multiplicity j are exactly the roots of q j(t). We give an algorithm to construct the polynomials q i(t) and describe some relations of their coefficients with other combinatorial invariants of G. In particular, we get new bounds for the energy E(G) =
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\mathop \sum \limits_{i = 1}^n$$ \end{document}
i| of G, where λ1, λ2, ..., λn are the eigenvalues of G (with multiplicity). Most of the results are proved for the more general situation of a Hermitian matrix whose characteristic polynomial has integral coefficients.
Restricted access
Restricted access

Abstract  

For vibrating strings with symmetric single-well densities, it is known that the ratio λ211 is maximized when the density is constant. In this note, we extend this result to a class of symmetric densities.

Restricted access