On Newton's method under Hölder continuous derivative

Journal of Mathematical Analysis and Applications

Volumn 270, Issue 2, 2002, Pages 332-339

  Zhengda, Huang ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Convergent order; Newton's method; Semilocal convergence

Indexed keywords

EID: 0037098597     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00060-4     Document Type: Article

References (15)

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6. Functional Analysis
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8. A new semilocal convergence theorem for Newton's method
9. A note on the Kantorovich theorem for Newton iteration
10. On Newton's method under mild differentiability conditions and applications
11. Introduction to Nonlinear Differential and Integral Equations
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13. Newton's method under mild differentiability conditions with error analysis
14. A convergence analysis for Newton-like methods in Banach space under weak hypotheses and applications
15. On the Mysovskii theorem of Newton's method