3 years ago

Semilocal Convergence and Its Computational Efficiency of a Seventh-Order Method in Banach Spaces

Jai Prakash Jaiswal

Abstract

The present paper describes the study of semilocal convergence of seventh-order iterative method, in Banach spaces for solving nonlinear equations. The existence and uniqueness results have been verified followed by error bounds. It is also discussed that the considered scheme has not only the higher convergence order but also improved computational efficiency, which is the significant issue when dealing the nonlinear system problems. The theoretical development has been justified by applying it to a numerical problem.

Publisher URL: https://link.springer.com/article/10.1007/s40010-018-0590-7

DOI: 10.1007/s40010-018-0590-7

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