Το Βασικό κομμάτι της εργασίας είναι ένα πρόγραμμα με γραφικό περιβάλλον γραμμένο στο Matlab για την επίλυση προβλημάτων Βελτιστοποίησης χωρίς περιορισμούς χρησιμοποιώντας αλγορίθμους. / The main subject of this diploma is a program with graphical environment written in Matlab for solving Optimization problems without restrictions using algorithms. The first part of the diploma, has the theory that is necessary for understanding the problem of Optimization, definitions and theorems. The second part contains the description of the algorithms: Steepest Descent, Conjugate Gradient (Hestenes-Stiefel formula, Polak-Ribiere formula, Fletcher-Reeves formula, Powell formula), Newton-Raphson, Quasi-Newton (SR1, DFP, BFGS). A few information are given for the programming language of Matlab. Also there is a chapter in the paper which contains information about the functions of the program. The user can choose the function, the initial point, the precision, the algorithm and the interval for the graphics. The results of the program are the points of algorithm, the value of the function, and the graphics for one, two or more variables. Lastly there are five functions for testing the algorithms and the program.
| Identifer | oai:union.ndltd.org:upatras.gr/oai:nemertes:10889/2782 |
| Date | 31 March 2010 |
| Creators | Κανατζιάς, Γαβριήλ |
| Contributors | Γράψα, Θεοδούλα, Kanatzias, Gabriel, Ανδρουλάκης, Γιώργος, Ράγγος, Όμηρος, Γράψα, Θεοδούλα |
| Source Sets | University of Patras |
| Language | gr |
| Detected Language | English |
| Type | Thesis |
| Rights | 0 |
| Relation | Η ΒΥΠ διαθέτει αντίτυπο της διατριβής σε έντυπη μορφή στο βιβλιοστάσιο διδακτορικών διατριβών που βρίσκεται στο ισόγειο του κτιρίου της. |
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