|
|||||
|
|
Basin attractors for various methods for multiple roots |
|
| Authors: | Beny Neta Melvin Scott |
| Institution: | a Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, USA b 494 Carlton Court, Ocean Isle Beach, NC 28469, USA c Department of Mathematics, Sungkyunkwan University, Suwon 440 746, Republic of Korea |
| Abstract: | There are several methods for approximating the multiple zeros of a nonlinear function when the multiplicity is known. The methods are classified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss all known methods of orders two to four and present the basin of attraction for several examples. |
| Keywords: | Nonlinear equations Multiple roots Basin of attraction |
| 本文献已被 ScienceDirect 等数据库收录！ | |