𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A study of accelerated Newton methods for multiple polynomial roots

✍ Scribed by Aurél Galántai; Csaba J. Hegedűs

Publisher
Springer US
Year
2009
Tongue
English
Weight
446 KB
Volume
54
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Method for finding multiple roots of pol
Method for finding multiple roots of polynomials
✍ Chang-Dau Yan; Wei-Hua Chieng 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 851 KB

Conventional numerical methods for finding multiple roots of polynomials are inaccurate. The accuracy is unsatisfactory because the derivatives of the polynomial in the intermediate steps of the associated root-finding procedures are eliminated. Engineering applications require that this problem be

Accelerating generators of iterative met
Accelerating generators of iterative methods for finding multiple roots of nonlinear equations
✍ M.S. Petković; L.D. Petković; J. Džunić 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 397 KB

a b s t r a c t Two accelerating generators that produce iterative root-finding methods of arbitrary order of convergence are presented. Primary attention is paid to algorithms for finding multiple roots of nonlinear functions and, in particular, of algebraic polynomials. First, two classes of algor