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Existence test for solution of nonlinear systems applying affine arithmetic
Authors:Shinya Miyajima  Masahide Kashiwagi
Institution:Faculty of Science and Engineering, Waseda University, Tokyo, 169-8555, Japan
Abstract:A computational test is proposed for existence of solution in nonlinear systems. In this test, an interval inclusion of Newton mapping is estimated applying affine arithmetic. Numerical examples are presented to show the efficiency of this test.
Keywords:Nonlinear systems  Interval analysis  Affine arithmetic
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