Smale's fundamental theorem of algebra reconsidered (Q404254)
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: Smale's fundamental theorem of algebra reconsidered |
scientific article; zbMATH DE number 6339548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smale's fundamental theorem of algebra reconsidered |
scientific article; zbMATH DE number 6339548 |
Statements
Smale's fundamental theorem of algebra reconsidered (English)
0 references
4 September 2014
0 references
The authors discuss Smale's homotopy method for solving polynomial equations and its development in the recent years along with application of variations of the Newton method. They show that the upper bound estimate is polynomial and can be possibly extended to any dimensions of the polynomial equations. Numerical experiments illustrate the basins of attractions of the methods.
0 references
polynomial equation
0 references
homotopy method
0 references
Newton method
0 references
Smale's fundamental theorem of algebra
0 references
numerical experiment
0 references
0 references
0 references
