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Newton method for nonlinear system with singular Jacobian using diagonal updating

It is well known that when the Jacobian of nonlinear systems is nonsingular in the neighborhood of the solution, the convergence of Newton method to a solution x* of F(x) = 0 is guaranteed and the rate is quadratic. Violating this condition, i.e. the Jacobian to be singular the convergence may be un...

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Bibliografiske detaljer
Main Authors:	Yusuf, Mohammed Waziri, Leong, Wah June, Abu Hassan, Malik, Monsi, Mansor
Format:	Article
Sprog:	English
Udgivet:	Centre for Environment, Social and Economic Research Publications 2010
Online adgang:	http://psasir.upm.edu.my/id/eprint/15810/1/Newton%20method%20for%20nonlinear%20system%20with%20singular%20Jacobian%20using%20diagonal%20updating.pdf
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