# 105.147 Nonlinear Programming This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2022W 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W 2010W 2009W

2021W, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to distinguish between different types of nonlinear programming problems, to solve them with the appropriate methods, and to interpret the results (mostly economically).

## Subject of course

NONLINEAR PROGRAMMING 1. Introduction 2. Classes of nonlinear optimization problems 3. Optimization with one variable 4. Optimization without restrictions with several variables 5. Optimization under equality constraints: The method of Lagrange 6. Optimization under equality and inequality constraints: The method of Karush-Kuhn-Tucker 7. Saddle-point formulation and convex optimization 8. Quadratic Programming 9. Separable Programming 10. Method of feasible directions 11. Frank-Wolfe Algorithm 12. Sequential Unconstrained Minimization Techniques (SUMT) 13. Geometric Programming

## Teaching methods

Methods of nonlinear optimization/programming

Written and oral

## Course dates

DayTimeDateLocationDescription
Tue10:00 - 12:0012.10.2021 - 25.01.2022Zeichensaal 1 NLOP VO
Nonlinear Programming - Single appointments
DayDateTimeLocationDescription
Tue12.10.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue19.10.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue09.11.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue16.11.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue23.11.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue30.11.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue07.12.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue14.12.202110:00 - 12:00Zeichensaal 1 NLOP VO
Tue11.01.202210:00 - 12:00Zeichensaal 1 NLOP VO
Tue18.01.202210:00 - 12:00Zeichensaal 1 NLOP VO
Tue25.01.202210:00 - 12:00Zeichensaal 1 NLOP VO

## Examination modalities

schriftliche und mündliche Prüfung

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Tue10:00 - 12:0024.01.2023 HS 13written&oral09.01.2023 16:00 - 23.01.2023 12:00TISSNLOP Prfg.

## Course registration

Begin End Deregistration end
21.09.2021 15:30 04.10.2021 18:00

## Literature

Lecture notes for this course are available. F.S. Hillier and G.J. Lieberman: Introduction to Operations Research, 8th Edition, McGraw-Hill, New York, 2005. M. Luptácik: Nichtlineare Programmierung mit ökonomischen Anwendungen, Athenäum, 1981. M. Luptácik: Mathematical Optimization and Economic Analysis, Springer edition, forthcoming.

German