On a logarithmic criterion for uniform polynomial stability
نویسندگان
چکیده
منابع مشابه
Complex-coefficient Polynomial Roots by a Stability Criterion
Computation of polynomial roots is a problem that arises in various domains of science and engineering, and has thus received much attention in years, with marked recent progress. This paper introduces a new numerical algorithm for computing the roots of a complex-coefficient polynomial of degree n. The method is based on bracketing, in the spirit of Lehmer-Schur [1], but uses a robust stabilit...
متن کاملOn Weyl's Criterion for Uniform Distribution
1. In his famous memoir [1] of 1916, Weyl gave a necessary and sufficient condition for a sequence s1, s2 , • • • of real numbers to be uniformly distributed modulo 1, namely that for each integer m # 0, It is natural to ask : what condition on N S(N)=NI] e(msn)-0 n=1 as N-. (Here e(a) = ez7ria .) This criterion has been fundamental for much subsequent work on Diophantine approximation. Now sup...
متن کاملRemarks on logarithmic K-stability
1.1. Log-K-stability Let (X, J) be a Fano manifold, that is, K−1 X is ample. A basic problem in Kähler geometry is to determine whether (X, J) has a Kähler–Einstein metric (see [22]). The existence problem of Kähler–Einstein metric is a special case of the existence problem of constant scalar curvature Kähler (cscK) metric. For the latter, we fix an ample line bundle L on (X, J). We have the fo...
متن کاملA method to obtain the best uniform polynomial approximation for the family of rational function
In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...
متن کاملLocal stability criterion for self-gravitating disks in modified gravity
We study local stability of self-gravitating fluid and stellar disk in the context of modified gravity theories which predict a Yukawa-like term in the gravitational potential of a point mass. We investigate the effect of such a Yukawa-like term on the dynamics of self-gravitating disks. More specifically, we investigate the consequences of the presence of this term for the local stability of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of West University of Timisoara - Mathematics and Computer Science
سال: 2018
ISSN: 1841-3307
DOI: 10.2478/awutm-2018-0018