In:
AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), Vol. 8, No. 9 ( 2023), p. 22371-22384
Abstract:
〈abstract〉〈p〉In this paper, the semilocal convergence of the eighth order iterative method is proved in Banach space by using the recursive relation, and the proof process does not need high order derivative. By selecting the appropriate initial point and applying the Lipschitz condition to the first order Fréchet derivative in the whole region, the existence and uniqueness domain are obtained. In addition, the theoretical results of semilocal convergence are applied to two nonlinear systems, and satisfactory results are obtained.〈/p〉〈/abstract〉
Type of Medium:
Online Resource
ISSN:
2473-6988
DOI:
10.3934/math.20231141
Language:
Unknown
Publisher:
American Institute of Mathematical Sciences (AIMS)
Publication Date:
2023
detail.hit.zdb_id:
2917342-5
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