On Cauchy's bound for the moduli of zeros of a polynomial (Q1585205)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On Cauchy's bound for the moduli of zeros of a polynomial |
scientific article; zbMATH DE number 1526322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Cauchy's bound for the moduli of zeros of a polynomial |
scientific article; zbMATH DE number 1526322 |
Statements
On Cauchy's bound for the moduli of zeros of a polynomial (English)
0 references
12 September 2001
0 references
The paper contains two theorems which give the bound for the radius \(R\) of the disk \(|z|<R\) in which lie all the zeros of a polynomial \[ p(z)=z^n+a_{n-1}z^{n-1}+\dots +a_1z+a_0. \] The radius \(R\) depends on \(|a_{n-1}|\) and \(\beta =\max_{0\leq j \leq n-2}|a_j|.\) The obtained results improve some of the earlier results which is demonstrated by the consideration of special examples.
0 references
zeros of a polynomial
0 references
