| Autor: |
Malik Zaka Ullah, Sultan Muaysh Alaslani, Fouad Othman Mallawi, Fayyaz Ahmad, Stanford Shateyi, Mir Asma |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 8, Iss 8, Pp 19264-19274 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2023982?viewType=HTML |
| Popis: |
This work proposes a new scheme under the umbrella of iteration methods to compute the sign of an invertible matrix. To this target, a review of the exiting solvers of the same type is given and then a new scheme is derived based on a multi-step Newton-type nonlinear equation solver. It is shown that the new method and its reciprocal converge globally with wider convergence radii in contrast to their competitors of the same order from the general Padé schemes. After investigation on the theoretical parts, numerical experiments based on complex matrices of various sizes are furnished to reveal the superiority of the proposed solver in terms of elapsed CPU time. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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