Visualizing steepest descent |
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Authors: | Clifford A Reiter |
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Affiliation: | (1) Department of Mathematics, Lafayette College, 18042 Easton, PA, USA |
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Abstract: | The convergence of the method of steepest descent can be studied with computer graphics. The number of iterations required for convergence and the basin of attraction determined by the algorithm are both sensitive to initial conditions. The convergence in valleys is studied and beautiful, chaotic, images of the convergence are given. |
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Keywords: | Visualization Chaos Nonlinear optimization Steepest descent |
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