On Newton-type approach for piecewise linear systems |
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Authors: | Jinhai Chen Ravi P Agarwal |
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Institution: | a Department of Mathematical and Statistical Sciences, University of Colorado Denver, Campus Box 170, P.O. Box 173364, Denver, CO 80217-3364, USA b Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901-6975, USA |
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Abstract: | We investigate effective Newton-type methods for solving piecewise linear systems. We prove that under certain relaxed conditions the proposed Newton-type methods converge monotonically and have a finite termination property. Moreover, we give some conclusions on the existence of solution for the piecewise linear systems. |
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Keywords: | 90C33 90C53 90C06 |
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