Optimization Methods for Nonlinear Communication Channels
Lecture Contents
- Fundamentals of Convex Geometry
- Inequality Theory and Design of Sharp Bounds
- Calculus of Variations for Infinite-Dimensional Optimization Problems
- Optimization Methods for Hard Problems
- Generalization of Information Measures
- Nonlinear Communication Channels and Information Capacity
- Applications
- R. J. Webster: Convexity, Oxford Science Publications, 1994.
- H. G. Eggleston: Convexity, Cambridge University Press, Reprint 2008.
- A. W. Marshall, I. Olkin, and B. C. Arnold: Inequalities: Theory of Majorization and Its Applications, Springer, 2011.
- R. G. Bartle: A Modern Theory of Integration, American Mathematical Society, 2001.
- I. M. Gelfand and S. V. Fomin: Calculus of Variations, Dover Publications, Reprint 2000.
- P. Billingsley: Probability and Measure, John Wiley & Sons Inc, 1995.
- M. S. Pinsker: Information and Information Stability of Random Variables and Processes, Holden-Day, 1964.