Analysis of semilocal convergence in banach spaces under relaxed condition and computational efficiency

Author:

Jaiswal J. P.

Publisher

Pleiades Publishing Ltd

Subject

Numerical Analysis

Reference21 articles.

1. Ortega, J.M. and Rheinboldt, W.C., Iterative Solution of Nonlinear Equations in Several Variables, New York: Academic Press, 1970.

2. Amat, S. and Busquier, S., Third-Order Iterative Methods under Kantorovich Conditions, J. Math. An. Appl., 2007, vol. 336, no. 1, pp. 243–261.

3. Parida, P.K. and Gupta, D.K., Recurrence Relations for a Newton-Like Method in Banach Spaces, J. Comput. Appl.Math., 2007, vol. 206, no. 2, pp. 873–887.

4. Hernández, M.A. and Salanova, M.A., Sufficient Conditions for Semilocal Convergence of a Fourth-Order Multipoint IterativeMethod for Solving Equations in Banach Spaces, Southwest J. Pure Appl.Math., 1999, vol. 1, pp. 29–40.

5. Zheng, L. and Gu, C., Fourth-Order Convergence TheorembyUsingMajorizing Functions for Super-Halley Method in Banach Spaces, Int. J. Comp. Math., 2013, vol. 90, pp. 423–434.

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