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Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
- Argyros, Ioannis K.;
- Cho, Yeol Je;
- George, Santhosh;
- Xiao, Yibin
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0초록
The paper develops the local convergence of Inexact Newton-Like Method (INLM) for approximating solutions of nonlinear equations in Banach space setting. We employ weak Lipschitz and center-weak Lipschitz conditions to perform the error analysis. The obtained results compare favorably with earlier ones such as [7, 13, 14, 18, 19]. A numerical example is also provided.
키워드
inexact Newton method; Banach space; semilocal convergence; weak and center-weak Lipschitz condition; recurrent functions; Kantorovich hypotheses; UNIQUENESS; EQUATIONS; BEHAVIOR
- 제목
- Local Convergence of Inexact Newton-Like Method under Weak Lipschitz Conditions
- 저자
- Argyros, Ioannis K.; Cho, Yeol Je; George, Santhosh; Xiao, Yibin
- 발행일
- 2020-01
- 유형
- Article
- 권
- 40
- 호
- 1
- 페이지
- 199 ~ 210
- 언어
- ENG
- 출판사
- Kluwer Academic Publishers
- 발행국가
- 미국
- 분량
- 12 페이지
- ISSN
- E 1572-9087
P 0252-9602