Existence test for solution of nonlinear systems applying affine arithmetic

Authors:
Shinya Miyajima;Masahide Kashiwagi
Affiliations:
Faculty of Science and Engineering, Waseda University, Tokyo, Japan;Faculty of Science and Engineering, Waseda University, Tokyo, Japan
Venue:
Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)
Year:
2007

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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.