𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Chebyshev–Halley methods for analytic functions

✍ Scribed by Naoki Osada


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
227 KB
Volume
216
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


Two modifications of the family of Chebyshev-Halley methods are given. The first is to improve the rate of convergence to a multiple zero of an analytic function. The second is to find simultaneously all distinct zeros of a polynomial.


📜 SIMILAR VOLUMES


Chebyshev expansions for wave functions
✍ V.B. Sheorey 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 755 KB

Chebyshev series expansion of solutions of linear differential equations which occur in atomic scattering problems is discussed. We apply this technique to obtain both the regular and the irregular radial Coulomb wave functions. The Chebyshev expansion technique is extended to evaluate linearly inde