Existence test for solution of nonlinear systems applying affine arithmetic |
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Authors: | Shinya Miyajima Masahide Kashiwagi |
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Institution: | Faculty of Science and Engineering, Waseda University, Tokyo, 169-8555, Japan |
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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. |
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Keywords: | Nonlinear systems Interval analysis Affine arithmetic |
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