Theorems on a Modified Newton Method for Solving Systems of Nonlinear Equations

Maitree Podisuk

ABSTRACT: The modified Newton method for solving systems of nonlinear equations is one of the Newton-like methods. In this paper, results that will ensure the existence and uniqueness solutions to a system of nonlinear equations will be given. A second order convergence result is established.

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Department of Mathematics and Computer Science Faculty of Science King Mongkut’s Institute of Technology Chaokhuntaharn Ladkrabang Ladkrabang Bangkok 10520 Thailand.

Received 21 Apr 1999, Accepted 16 May 2000