Some properties of Newton's method for polynomials with all real zeros (Q1022839)
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 properties of Newton's method for polynomials with all real zeros |
scientific article; zbMATH DE number 5567832
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of Newton's method for polynomials with all real zeros |
scientific article; zbMATH DE number 5567832 |
Statements
Some properties of Newton's method for polynomials with all real zeros (English)
0 references
23 June 2009
0 references
A multistep Newton method for polynomials with all real zeros is investigated. The overshooting property of this method is proved. The result of the paper states that a Newton \(((k+1))\)-step from a point to the left of the smallest zero never overshoots the \((k)\) critical point of the polynomial. Analogous result hold when starting from a point to the right of the largest zero. The bibliography contains 2 sources.
0 references
polynomial root
0 references
overshooting
0 references
multistep Newton method
0 references
0.9176148
0 references
0.9130955
0 references
0.90077335
0 references
0.89734536
0 references
