Some simultaneous iterations for finding all zeros of a polynomial with high order convergence (Q1294297)
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: Some simultaneous iterations for finding all zeros of a polynomial with high order convergence |
scientific article; zbMATH DE number 1311106
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some simultaneous iterations for finding all zeros of a polynomial with high order convergence |
scientific article; zbMATH DE number 1311106 |
Statements
Some simultaneous iterations for finding all zeros of a polynomial with high order convergence (English)
0 references
1 February 2000
0 references
The authors construct some iterations for simultaneously finding all zeros of an algebraic polynomial with convergence of order 4. The simultaneous iterations are established by using Lagrange interpolation with special nodes. The convergence results are further illustrated by some numerical examples. This paper improves the result by \textit{A. W. Nourein} [J. Comput. Appl. Math. 1, 251-254 ( 1975; Zbl 0315.65029)].
0 references
simultaneous iteration
0 references
zeros of polynomials
0 references
Lagrange interpolation
0 references
convergence
0 references
numerical examples
0 references
0 references
