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| MATH0041-1

 | Optimisation algorithms

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| Duration : | 30h Th, 30h Pr | |
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| Credits/ECTS : |
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| Holder(s) : | François‑Xavier Litt | |
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| Course contents :
| Linear programming, simplex algorithm, duality. Fundamental notions: convexity, global convergence, asymptotic convergence. One-dimensionnal optimisation, exact and approximate. Unconstrained n-dimensionnal optimisation: first and second order conditions, gradient, conjugate gradient, Newton and quasi-Newton methods. Constrained n-dimensionnal optimisation: first and second order conditions, generalised reduced gradient, augmented Lagrangian and quadratic recursive methods. | |
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| Course objective :
| To introduce students to basic optimisation problems. | |
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| Prerequisites :
| Knowledge of mathematical analysis and linear algebra.
Particular link with another course:
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Downstream: MATH0020-1 Numerical methods of optimisation.
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| Workshops :
| Practical lessons every monday from 16:00 to 18:00 | |
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| Organization :
| This course is taught at the first semester. Lectures: every monday from 14:00 to 16:00. Practical lessons: as indicated above. | |
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| Written notes :
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Working book:
Algorithmes d'optimisation, F.X. Litt; on sale at AEES.
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Recommended readings:
see list in the working book.
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| Assessment :
| 1st session: open book written exam in january, no oral exam. 2nd session (september): open book written exam, no oral exam. | |
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| Contacts :
| Teacher: F.X.Litt, Institut Montefiore, B28, Sart Tilman, 4000 Liège ; Tél. 04/366.26.92 ; Fax 04/366.28.74 ; e-mail FX.Litt@ulg.ac.be
Secretary : M.T.Ratz, Tél 04/366.26.81; e-mail MT.Ratz@ulg.ac.be
Assistant : D. Detry, V. Leroy, C. Thiernesse. NB: Modifications of this list can occur during the academic year. | |
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| Remarks :
| Every attributed grade can be maintained. | |
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