Interval expansion method for nonlinear equation in several variables |
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| Authors: | Hai-Jun Wang De-Xin Cao |
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| Affiliation: | a China University of Mining and Technology, Xuzhou, Jiangsu 221008, P.R. China
b Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, P.R. China |
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| Abstract: | An interval expansion method is presented to find the solution of nonlinear equation in several variables with guaranteed accuracy. In this method, the existence theorem for the solution of nonlinear equation is obtained by using two newly defined operators. A new algorithm for solving nonlinear equation in several variables is given. Furthermore, we prove that the new method is global convergent under mild conditions. |
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| Keywords: | Interval expansion method Nonlinear equation Global convergent Modified Krawczyk operator Componentwise form |
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