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Abstract:
This paper presents an iterative scheme for solving nonline ar equations. We establish a new rational approximation model with linear numerator and denominator which has generalizes the local linear model. We then employ the new approximation for nonlinear equations and propose an improved Newton's method to solve it. The new method revises the Jacobian matrix by a rank one matrix each iteration and obtains the quadratic convergence property. The numerical performance and comparison show that the proposed method is efficient.
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SPRINGERPLUS
ISSN: 2193-1801
Year: 2016
Volume: 5
ESI Discipline: Multidisciplinary;
ESI HC Threshold:301
CAS Journal Grade:4
Cited Count:
WoS CC Cited Count: 14
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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