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ON THE CONVERGENCE OF THE SIXTH ORDER HOMEIER LIKE METHOD IN BANACH SPACES
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A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.
Title: ON THE CONVERGENCE OF THE SIXTH ORDER HOMEIER LIKE METHOD IN BANACH SPACES
Description:
A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space.
Assumptions only on first and second derivatives are used to obtain a sixth order convergence.
Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.
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