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.


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