The super-Halley method using divided differences

Applied Mathematics Letters

Volumn 10, Issue 4, 1997, Pages 91-95

  Argyros, I K ^a  

^a CAMERON UNIVERSITY   (United States)

Author keywords

Banach space; Divided differences; POTL space; Super Halley method

Indexed keywords

EID: 0042627959     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00065-7     Document Type: Article

References (7)

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4. T. Yamamoto, On the method of tangent hyperbolas in Banach spaces, J. Comp. Appl. Math. 21, 75-86 (1988).
5. S. Ul'm, Iteration methods with divided differences of the second order, (in Russian), Dokl. Akad. Nauk. SSSR 158, 55-58 (1964).
6. I.K. Argyros, The Newton-Kantorovich method under mild differentiability conditions and the Ptak error estimates, Monatschefter für Mathematik 109 (3), 191-203 (1990).
7. I.K. Argyros, On the solution of equations with nondifferentiable operators and the Ptak errors estimates, BIT 90, 752-754 (1990).