| Subject: | Optimization problem... closed form solution? |
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| From: | |
| Date: | 21 Oct 2006 03:54:44 -0700 |
| Newsgroups: | sci.math |
Hello, I am stuck in solving the following problem z = SIGMA[ (xi-ai)^2 ] + SIGMA[ (yi-bi)^2 ] + [ SIGMA(xi*tanh(yi) +c ]^2 Min(z) Note that hyperbolic tanget is used, not regular tangent. i ranges from 1 to n (n is a given number) ai's and bi's and c are constant xi's and yi's are (optimization) variables All variables and constants are real numbers. Is there any closed form solution for xi's and yi's such that they minimize z? Thanks H.M. |
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