On a modification of Chebyshev's method
β Scribed by I. Makrelov
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 212 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
In [A. Melman, Geometry and convergence of Euler's and Halley's methods, SIAM Rev. 39(4) (1997) 728-735] the geometry and global convergence of Euler's and Halley's methods was studied. Now we complete Melman's paper by considering other classical third-order method: Chebyshev's method. By using the
When two or more branches of a function merge, the Chebyshev series of u(Ξ») will converge very poorly with coefficients a n of T n (Ξ») falling as O(1/n Ξ± ) for some small positive exponent Ξ±. However, as shown in [J.P. Boyd, Chebyshev polynomial expansions for simultaneous approximation of two branc