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International Journal of Computer Mathematics Volume 33, 1990 - Issue 1-2
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Original Articles

A modified version of newton's iteration

Arindama Singh Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, India
&
Mohan K. Kadalbajoo Department of Mathematics, Indian Institute of Technology, Kanpur, 208016, India
Pages 107-113 | Received 27 Feb 1989, Accepted 19 Mar 1989, Published online: 19 Mar 2007
 
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Abstract

In this paper, a modified version of Newton's Iteration (also called Quasilinearization) for nonlinear systems of ordinary differential equations is considered. Under certain conditions, a simple proof of quadratic convergence of the iteration is derived.

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