CEU Electronic Theses and Dissertations, 2017
| Author | Güdücü, Candan |
|---|---|
| Title | Distance minimization following paths back to the roots |
| Summary | In this thesis,optimization problems are considered as root finding problems. The first order optimality conditions give us the system of multivariate polynomial equations to solve for finding optimum points. We investigate the point that minimizes the total distance to a given set of circles and some other algebraic curves, writing the corresponding polynomial systems, nding the real roots with the homotopy method (Hom4PS-3) and certify them with alphaCertied. |
| Supervisor | BOZOKI, SANDOR |
| Department | Mathematics MSc |
| Full text | https://www.etd.ceu.edu/2017/guducu_candan.pdf |
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