A globally convergent algorithm for computing fixed points of C2 maps |
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Authors: | Layne T Watson |
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Institution: | Department of Mathematics Michigan State University East Lansing, Michigan 48824, USA |
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Abstract: | Chow, Mallet-Paret, and Yorke have recently proposed in abstract terms an algorithm for computing Brouwer fixed points of C2 maps. A numerical implementation of that algorithm is presented here. Careful attention has been paid to computational efficiency, accuracy, and robustness. Some convergence theorems and results of numerical tests are also included. |
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