(*) Unfortunately this information is not available in english.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
1,5 ECTS
B3 - Bachelor's programme 3. year
Mathematics
Helmut Gfrerer
1 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Students are familiar with the basic concepts and methods of free and constrained optimisation and can apply known methods to practical problems.
Skills
Knowledge
Understand the structure of free and constrained optimisation problems;
Know and apply statements on the existence and uniqueness of a solution;
be familiar with the Newton method and important variants;
know the conjugate gradient method;
know the tangent cone of a set;
understand the theoretical principles of linear optimisation;
know the basic algorithms of linear and quadratic optimisation;
Necessary and sufficient optimality conditions of first and second order; Line search algorithms;
Newton methods; quasi-Newton methods; convergence statements for optimisation algorithms;
Analytical statements on constrained optimisation; sequential quadratic programming methods.
Criteria for evaluation
Changing subject?
No
Corresponding lecture
(*)ist gemeinsam mit 201NUOPOPTV18: VL Optimierung (4,5 ECTS) äquivalent zu TM1PDKVOPTI: KV Optimierung (6 ECTS)