Convex Functions

Basic Information

M109 (1+1+0) - 3 ECTS credits

The aim of the course is to systematize geometric and analytical properties of convex sets and convex functions, which are used in various fields of applied mathematics.

You can access the course content at the following link: PDF

Basic literature

  1. S. Boyd, L. Vandenbergher, Convex Optimization, Cambridge University Press, Cambridge, 2004.
  2. M. Alić, G. Nogo, Optimizacija: Uvod u teoriju nužnih i dovoljnih uvjeta ekstrema, Odjel za matematiku, Sveučilište u Osijeku, 2004.

Additional literature

  1. D. Bertsimas, J. N. Tsitsiklis, Introduction to Linear Optimization, Athena Scientific, 1997.
  2. M. S. Bazarra, H. D. Sherali, C. M. Shetty, Nonlinear Programming:Theory and Algorithms, 3rd Edition, Wiley, New Jersey, 2006.
  3. J. M. Borwein, A. S. LewisConvex Analysis and Nonlinear Optimization, Springer-Verlag, New York, 2000.
  4. J. Pečarić, F. Proschan, Y. L. Tong, Convex Functions, Partial Orderings and Statistical Applications, Academic Press, London, 1992.

 

Teaching materials

The materials are available on the internal Teams channel of the course, through which all internal communication takes place. Students are required to register on the course’s Teams channel. The channel code for joining the course can be found in the schedule.