References
- Argyros , I. K. 1999 . On Newton's method under mild differentiability conditions and applications . Appl. Math. Comput. , 102 : 177 – 183 .
- Argyros , I. K. 2005 . A new iterative method of asymptotic order 1+√ 2 for the computation of fixed points . Int. J. Comput. Math. , 82 : 1413 – 1428 .
- Argyros , I. K. and Szidarovszky , F. 1993 . The Theory and Applications of Iteration Methods , Boca Raton, FL : CRC Press .
- Bartle , R. G. 1955 . Newton's method in Banach spaces . Proc. Amer. Math. Soc. , 6 : 827 – 831 .
- Cianciaruso , F. and Pascale , E. D. 2003 . Newton–Kantorovich assumptions when the derivative is Hölderian: old and new results . Numer. Funct. Anal. Optim. , 24 : 713 – 723 .
- Galántai , A. 2000 . The theory of Newton's method . J. Comput. Appl. Math. , 124 : 25 – 44 .
- Hernández , M. A. 2001 . The Newton method for operators with Hölder continuous first derivative . J. Optim. Theory Appl. , 109 : 631 – 648 .
- Kantorovich , L. V. and Akilov , G. P. 1982 . Functional Analysis , Oxford : Pergamon Press .
- Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative Solution of Nonlinear Equations in Several Variables , New York and London : Academic Press .
- Polyanin , A. D. and Manzhirov , A. V. 1998 . Handbook of Integral Equations , Boca Ratón, Florida : CRC Press .
- Potra , F. A. 1989 . On Q-order and R-order of convergence . J. Optim. Theory Appl. , 63 : 415 – 431 .
- Rall , L. B. 1975 . Convergence of Stirling's method in Banach spaces . Aequationes Math. , 12 : 12 – 20 .
- Rall , L. B. 1969 . Computational Solution of Nonlinear Operator Equations , New York : Robert E. Krieger .
- Rokne , J. 1972 . Newton's method under mild differentiability conditions with error analysis . Numer. Math. , 18 : 401 – 412 .
- Werner , W. 1984 . Newton-like methods for the computation of fixed points . Comput. Math. Appl. , 10 : 77 – 86 .