On a modification of Chebyshev's method (Q5905546)
From MaRDI portal
scientific article; zbMATH DE number 69600
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a modification of Chebyshev's method |
scientific article; zbMATH DE number 69600 |
Statements
On a modification of Chebyshev's method (English)
0 references
26 October 1992
0 references
A new variant of Newton's method is is proposed for the solution of nonlinear equations in a generalized polynomial form. It is based on the Chebyshev method but tries to compute simultaneously all roots of the equation, using previous information on all roots in each step. A simple test case shows that the method sometimes gives better results than Chebyshev's method.
0 references
simultaneous root-finding
0 references
cubic convergence
0 references
Chebyshev system
0 references
Newton's method
0 references
generalized polynomial
0 references
Chebyshev method
0 references
