On the characteristic roots of matric polynomials
نویسندگان
چکیده
منابع مشابه
ON T H E CHARACTERISTIC ROOTS OF MATRIC POLYNOMIALS* BY N. H. McCOY
Each normal Cn image of a line meets each base 5n_2 in n — 2 points and does not intersect the ruled variety. The images of planes intersect R in (n-\-l)(n — 2)/2 lines. The plane meets each base 5n-2 in a point, the image of which is a line meeting n of the base 5n'_2 and lying on F2. Each base Sn-2 meets R in a manifold of dimensionality n — 3 and of order n — 1. For ^ = 4, the two-dimensiona...
متن کاملOn Roots of Random Polynomials
We study the distribution of the complex roots of random polynomials of degree n with i.i.d. coefficients. Using techniques related to Rice’s treatment of the real roots question, we derive, under appropriate moment and regularity conditions, an exact formula for the average density of this distribution, which yields appropriate limit average densities. Further, using a different technique, we ...
متن کاملOn the Roots of Chromatic Polynomials
It is proved that the chromatic polynomial of a connected graph with n vertices and m edges has a root with modulus at least (m&1) (n&2); this bound is best possible for trees and 2-trees (only). It is also proved that the chromatic polynomial of a graph with few triangles that is not a forest has a nonreal root and that there is a graph with n vertices whose chromatic polynomial has a root wit...
متن کاملNotes on the Roots of Ehrhart Polynomials
We determine lattice polytopes of smallest volume with a given number of interior lattice points. We show that the Ehrhart polynomials of those with one interior lattice point have largest roots with norm of order n , where n is the dimension. This improves on the previously best known bound n and complements a recent result of Braun [8] where it is shown that the norm of a root of a Ehrhart po...
متن کاملOn the Roots of Expanding Integer Polynomials
Monic polynomials with integer coefficients all of whose roots lie outside the closed unit disk are studied. The results are applied to canonical number systems and Garsia numbers.
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: Bulletin of the American Mathematical Society
سال: 1936
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1936-06372-x