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**Finding the roots of system of nonlinear equations by a novel filled function method.**
*(English)*
Zbl 1242.49069

Summary: We present a novel filled function approach to solve a box-constrained system of nonlinear equations. The system is first transformed into an equivalent nonsmooth global minimization problem, and then a new filled function method is proposed to solve this global optimization problem. Numerical experiments on several test problems are conducted and the computational results are also reported.

### MSC:

49M30 | Other numerical methods in calculus of variations (MSC2010) |

### Keywords:

novel filled function approach; box-constrained system; nonlinear equations; nonsmooth global minimization problem
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\textit{W.-X. Wang} et al., Abstr. Appl. Anal. 2011, Article ID 209083, 9 p. (2011; Zbl 1242.49069)

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### References:

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