====== Pensum ====== Final pensum in the course: Chapters in Nocedal & Wright, Numerical Optimization, Second Edition, 2006: * ** Basics of optimization: ** Chap. 1, 2. * ** Line Search Methods: ** Chap. 3.1-3.3 (pp. 30-47). * ** Trust-Region Methods: ** Chap. 4.1, 4.3 (pp. 66-77 and 83-92). * ** Conjugate Gradient Methods: ** Chap. 5. * ** Quasi-Newton Methods: ** Chap. 6.1, 6.4 without SR1 method (pp. 135-143, 153-160). * ** Least-Squares Problems: ** Chap. 10.1-10.3 without large-residual problems (pp. 245-262). * ** Constrained Optimization: ** Chap. 12.1-12.5 without projected Hessians (pp. 304-336). * ** Linear Programming: ** Chap. 13.1-13.2, 14.1 (pp. 355-366, 392-406). * ** Quadratic Programming: ** Chap. 16.6 (pp. 480-485). * ** Penalty Methods: ** Chap. 17.1-17.3 (pp. 497-519). * ** Sequential Quadratic Programming: ** Chap. 18.1, 18.2, parts of 18.3 (merit functions), 18.4 (pp. 529-535, 540-543, 545-546). Lecture notes: * {{:tma4180:2015v:existence.pdf|Minimizers of Optimization Problems}} * {{:tma4180:2015v:convex.pdf|Basics of Convex Analysis}} * {{:tma4180:2015v:calcvar.pdf|Basics of Calculus of Variations}}