Timeline for Going in the direction of the gradient
Current License: CC BY-SA 3.0
3 events
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| Jul 8, 2012 at 20:31 | comment | added | Anton Petrunin | The estimate follows along the same lines as Picard's existence theorem. For the second part of argument, look at a neighborhood of $x^* $ and try to estimate the behavior of solutions for big $t$, it will slide in a direction of a fixed vector tangent to $\mathcal{G}$; that means this can not be a limit point. | |
| Jul 8, 2012 at 14:56 | comment | added | user21162 | Thank you for answering. Could I ask for more details? I tried to understand your answer but failed. 1. Why do solutions satisfy $|x(t)−y(t)| < C/t$? 2. How do you know at least one solution converges? 3. Can you spell out the contradiction that converging to a non-minimum results in? Thanks! | |
| Jul 8, 2012 at 14:39 | history | answered | Anton Petrunin | CC BY-SA 3.0 |