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Convex Optimization with Applications

Course: Convex Optimization with Applications

Code: 3ФЕИТ08009

ECTS points: 6 ECTS

Number of classes per week: 3+0+0+3

Lecturers: Prof. Dr. Zoran Hadji - Velkov, Prof. Dr. Katerina Hadji - Velkova Saneva

Course Goals (acquired competencies): Understanding the theory of convex optimization. Ability to analyze and solve optimization problems arising from system models in engineering.

Course Syllabus: Elements of convex analysis. Convex sets. Convex functions. Recognition of convex optimization problems in engineering. Optimal conditions and duality.  Lagrange dual function. Linear programming. Simplex method. Method of least squares. Semidefinite programming. Application in machine learning and statistics, telecommunication engineering and ICT. Using CVX solver in Matlab.

Literature:

Required Literature

No.

Author

Title

Publisher

Year

1

S. Boyd and L. Vandenberghe

Convex Optimization

Cambridge University Press

2004

2

P. Venkataram

Applied Optimization with MATLAB Programming

John Wiley and Sons

2009

Additional Literature

No.

Author

Title

Publisher

Year

1

W.Sun, Ya-X.Yuan

Optimization Тheory and Мethods: Nonlinear  Programming

Springer

2006