Research announcement an algorithm for numerical calculation of topical degree |
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Authors: | Martin Stynes |
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Institution: | Department of Mathematics , Oregon State University , Corvallis, Oregon, 97337, U.S.A |
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Abstract: | The problem of finding a local minimum of a real differentiable function is considered from a homotopic point of view. Using a Davidenko embedding method with a particular homotopy, an ordinary differential equation is derived. Solution of this equation by Euler's rule gives rise to an iteration formula for the optimization problem. Convergence and termination properties of this formula are discussed. |
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Keywords: | 35L35 |
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