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TSMC
2008
147views more  TSMC 2008»
13 years 4 months ago
A New Approach for Solving Nonlinear Equations Systems
This paper proposes a new perspective for solving systems of complex nonlinear equations by simply viewing them as a multiobjective optimization problem. Every equation in the syst...
Crina Grosan, Ajith Abraham
NA
2010
235views more  NA 2010»
12 years 11 months ago
On new iterative method for solving systems of nonlinear equations
Solving systems of nonlinear equations is a relatively complicated problem for which a number of different approaches have been proposed. In this paper, we employ the Homotopy Anal...
Fadi Awawdeh
SIAMSC
2011
151views more  SIAMSC 2011»
12 years 11 months ago
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
Xiao-Chuan Cai, Xuefeng Li
SIAMJO
2002
115views more  SIAMJO 2002»
13 years 4 months ago
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems
We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, ...
Alexey F. Izmailov, Mikhail V. Solodov