Ullah, Malik Zaka and Torkashvand, Vali and Shateyi, Stanford and Asma, Mir (2022) Using matrix eigenvalues to construct an iterative method with the highest possible efficiency index two. Mathematics, 10 (9). ISSN 2227-7390, DOI https://doi.org/10.3390/math10091370.
Full text not available from this repository.Abstract
In this paper, we first derive a family of iterative schemes with fourth order. A weight function is used to maintain its optimality. Then, we transform it into methods with several self-accelerating parameters to reach the highest possible convergence rate 8. For this aim, we employ the property of the eigenvalues of the matrices and the technique with memory. Solving several nonlinear test equations shows that the proposed variants have a computational efficiency index of two (maximum amount possible) in practice.
| Item Type: | Article |
|---|---|
| Funders: | Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia (Grant No: KEP-48-130-42 |
| Uncontrolled Keywords: | With-memory method; Accelerator parameter; R-order convergence; Eigenvalues |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 06 Oct 2023 04:11 |
| Last Modified: | 06 Oct 2023 04:11 |
| URI: | http://eprints.um.edu.my/id/eprint/42858 |
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