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International Journal of Computer Mathematics Volume 84, 2007 - Issue 1
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Original Articles

Improved convergence and complexity analysis of Newton's method for solving equations

Ioannis K. Argyros Department of Mathematical Sciences, Cameron University, Lawton, OK, 73505, USACorrespondence[email protected].
Pages 67-73 | Received 29 Mar 2006, Accepted 29 Nov 2006, Published online: 29 Mar 2007
 
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Abstract

A finer optimal convergence condition for the local convergence of Newton’s method is obtained using more precise error estimates. A condition for finer computational complexity is also obtained.

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