Graduate Projects

Ομάδες

• Πετράκης - Καστίδου
• Γεωργόπουλος - Σεβεντεκίδης
• Παπαφώτη - Σαλτέας
• Καρακασίδης- Χάντας
• Βαλασούλης - Καρβέλης - Ντούβας
• Κοντογιώργης - Λεοντιάδης
• Πέτσιος - Τζίκας

Γενικά links για βελτιστοποίηση

• Mathematical Optimization
• Constrained Optimization
• Optimization Glossary

Projects

1. Hook & Jeeves (Πετράκης - Καστίδου)
   • Nonlinear Programming, Theory and Applications^*
     M. S. Bazaraa, H. D. Sherali, C. M. Shetty
     John Wiley & Sons
   • Methods of Optimization^*
     G. R. Walsh
     John Wiley & Sons
   • Iterative Methods for Optimization^*
     C. T. Kelley
     SIAM

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2. Newton method with line search (Γεωργόπουλος - Σεβεντεκίδης)
   • Practical Methods of Optimization^*
     R. Fletcher
     John Wiley & Sons
   • Nonlinear Programming, Theory and Applications^*
     M. S. Bazaraa, H. D. Sherali, C. M. Shetty
     John Wiley & Sons
   • Iterative Methods for Optimization^*
     C. T. Kelley
     SIAM
   • Numerical Optimization^*
     J. Nocedal, S. J. Wright
     Springer Series in Operation Research
   • Linear and Nonlinear Programming^*
     S. G. Nash, A. Sofer
     Mc Graw Hill

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3. Newton method Trust region approach - Dog leg (Παπαφώτη - Σαλτέας)
   • Practical Methods of Optimization^*
     R. Fletcher
     John Wiley & Sons
   • Nonlinear Programming, Theory and Applications^*
     M. S. Bazaraa, H. D. Sherali, C. M. Shetty
     John Wiley & Sons
   • Iterative Methods for Optimization^*
     C. T. Kelley
     SIAM
   • Numerical Optimization^*
     J. Nocedal, S. J. Wright
     Springer Series in Operation Research
   • Linear and Nonlinear Programming^*
     S. G. Nash, A. Sofer
     Mc Graw Hill

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4. Limited Memory BFGS (Καρακασίδης- Χάντας)
   • Numerical Optimization^*
     J. Nocedal, S. J. Wright
     Springer Series in Operation Research
   • A limited memory algorithm for bound constrained optimization
     C. Zhu, R. H. Byrd, P. Lu and J. Nocedal
     SIAM J. Scientific Computing 16 (1995), no. 5, pp. 1190-1208.
   • J. Nocedal Home Page
     Περιέχει χρήσιμα links για τις limited memory μεθόδους

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5. Truncated Newton (Βαλασούλης - Καρβέλης - Ντούβας)
   • Linear and Nonlinear Programming^*
     S. G. Nash, A. Sofer
     Mc Graw Hill
   • Numerical Optimization^*
     J. Nocedal, S. J. Wright
     Springer Series in Operation Research
   • A Survey of Truncated-Newton Methods
     S. G. Nash
     Journal of Computational and Applied Mathematics, 124 (2000), pp. 45-59
   • TNPACK—a truncated Newton minimization package for large-scale problems: I. Algorithm and usage
     Ειδικές πληροφορίες για την μέθοδο Truncated Newton
   • Truncated Newton algorithms for large scale unconstrained optimization^*
     R. S. Dembo, T. Steihaug
     Mathematical Programming
     
   • Preconditioning of Truncated Newton methods^*
     S. G. Nash
     SIAM Journal
     
   • Numerical Experiences with new Truncated Newton methods in large scale unconstrained Optimization^*
     S. Luicidi, M. Roma
     J. Computational Optimization and Applications
     

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6. Price with Local search (Κοντογιώργης - Λεοντιάδης)
   • Modified Price algorithm [465] Περιγραφή του προς υλοποίηση αλγόριθμου
   • Numerical Methods for Unconstrained Optimization and Nonlinear Equations^*
     J. E. Dennis, R. B. Schnabel
     SIAM
     

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7. Fletcher & Xu for Least squares (Πέτσιος - Τζίκας)
   • Hybrid Methods for Nonlinear Least Squares^*
     R. Fletcher, C. Xu
     IMA Journal of Numerical Analysis
     
   • Variational Methods for Nonlinear least squares^*
     M. Al-Baali, R. Fletcher
     J. Operational Research
     
   • Optimization Toolbox (Matlab)
     Εισαγωγικές έννοιες για το πρόβλημα των ελαχίστων τετραγώνων
   • Nonlinear least squares
     Συνοπτική περιγραφή της μεθόδου Gauss-Newton, αναφορές

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^* Απευθυνθείτε στον κ. Βόγκλη για να σας δώσει τα απαραίτητα κείμενα (βιβλία/δημοσιεύσεις)

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