Type of studies | Title |
---|---|
Master Academic Studies | Engineering Animation (Godina: 1, Winter) |
Category | Theoretical-methodological |
Scientific or art field | Teorijska i primenjena matematika |
Interdisciplinary | Yes |
ECTS | 4 |
Acquisition of basic knowledge in numerical optimization. Developing ability for independent analysis and solving of various optimization problems. Student is trained for independent creation of numerical models of optimization problems. Special attention is dedicated to optimization problems in the filed of digital image processing.
Basic knowledge in theory of numerical optimization. Enable students to develop and analyze numerical models.
Mathematical formulation of the optimization problem. Rate of convergence. Global and local optimization. Constrained and unconstrained optimization. Stochastic and deterministic optimization. Continuous and discrete optimization. Line search methods: Wolf conditions, Steepest descent method, Newton's method, Quasi-Newton methods. Trust-region methods. Cauchy point. Conjugate Gradient (CG) methods: linear CG method, nonlinear CG method. Least-squares (LS) problems: linear LS problems, nonlinear LS problems, Gauss-Newton method, Levenberg-Marquardt method. Introduction to constrained optimization. Penalty function. Quadratic programming.
Lectures and practical exercises on the computer. During lectures theoretical part of the course is presented and followed by typical examples from optimization theory. During practice, which accompanies lectures, typical problems are solved applying certain computer software. Special attention is dedicated to optimization problems in the filed of digital image processing.
Authors | Title | Year | Publisher | Language |
---|---|---|---|---|
2005 | English | |||
1996 | English | |||
Petrić, J., Zlobec, S. | Nelinearno programiranje | 1989 | Naučna knjiga, Beograd | Serbian language |
2006 | English |
Course activity | Pre-examination | Obligations | Number of points |
---|---|---|---|
Written part of the exam - tasks and theory | No | Yes | 70.00 |
Presentation | Yes | Yes | 25.00 |
Lecture attendance | Yes | Yes | 3.00 |
Exercise attendance | Yes | Yes | 2.00 |
Full Professor
Full Professor
Associate Professor
Assistant with PhD
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© 2024. Faculty of Technical Sciences.