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Title: Ένα εκπαιδευτικό πακέτο για το πρόβλημα της βελτιστοποίησης χωρίς περιορισμούς
Authors: Κανατζιάς, Γαβριήλ
Issue Date: 2010-03-31T09:53:49Z
Keywords: Βελτιστοποίηση
Αλγόριθμοι βελτιστοποίησης
Γλώσσα προγραμματισμού Matlab
Keywords (translated): Optimization
Abstract: Το Βασικό κομμάτι της εργασίας είναι ένα πρόγραμμα με γραφικό περιβάλλον γραμμένο στο Matlab για την επίλυση προβλημάτων Βελτιστοποίησης χωρίς περιορισμούς χρησιμοποιώντας αλγορίθμους.
Abstract (translated): 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.
Appears in Collections:Τμήμα Μαθηματικών (ΜΔΕ)

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OptimizationWR7.pdfΚυρίως άρθρο7.49 MBAdobe PDFView/Open
programma.zipΠρόγραμμα Matlab49.67 kBZIPView/Open

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