Abstract
This paper presents a new nonstationary iterative method of second order for solving nonlinear equations, that does not require the use of any derivatives. For algebraic equations our method coincides with Newton's method, from a certain step of iteration on. Due to the methodology of Ostrowski [8], the efficiency index of our process equals 2, which is higher than the efficiency indices of classical iterative methods, such as Newton's process and the secant method, to mention just a few.
| Original language | English |
|---|---|
| Pages (from-to) | 75-82 |
| Number of pages | 8 |
| Journal | Applied Mathematics and Computation |
| Volume | 188 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 May 2007 |
Keywords
- Efficiency index
- Function evaluations
- Iterative methods
- Order of convergence
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics