SubjectsSubjects(version: 901)
Course, academic year 2021/2022
Non-linear Optimalization - AP413006
Title: Non-linear Optimalization
Guaranteed by: Department of Mathematics (413)
Actual: from 2019
Semester: both
Points: 0
E-Credits: 0
Examination process:
Hours per week, examination: 3/0 other [hours/week]
Capacity: winter:unknown / unknown (unknown)
summer:unknown / unknown (unknown)
Min. number of students: unlimited
Language: English
Teaching methods: full-time
For type: doctoral
Note: course is intended for doctoral students only
can be fulfilled in the future
you can enroll for the course in winter and in summer semester
Guarantor: Kubíček Milan prof. RNDr. CSc.
Isoz Martin Ing. Ph.D.
Interchangeability : D413007, P413006
Annotation -
Last update: Pátková Vlasta (16.11.2018)
Extreme values of functions of several real variables. Extreme with equality and inequality constrainst. Linear programming. Nonlinear programming, direct search methods, gradient methods, Newton method. Methods for constrained extreme. Elements of dynamic programming. Vector optimization, Pareto set construction.
Aim of the course -
Last update: Pátková Vlasta (16.11.2018)

Students will be able to: Understand and formulate an optimization problems. Solve the problem in simple cases, use the appropriate software in more complex cases. Classify the problem and propose an efficient solution. Solve the given project.

Literature -
Last update: Jahoda Milan doc. Dr. Ing. (28.11.2018)

Edgar T. F., Himmelblau D. M.,Lasdon L. S.: Optimization of Chemical Processes, McGraw-Hill, Boston, 2001.

Further literature individually.

Teaching methods -
Last update: Pátková Vlasta (16.11.2018)

Self-study, consultation, solution of given problem.

Syllabus -
Last update: Pátková Vlasta (16.11.2018)

1. Formulation of the optimization problem.

2. Extrems of functions of real variables - methods of classical analysis.

3. Extrems of functions of real variables - unconstrained extreme, extrem with equality constraints.

4. Extrems of real variable functions - Extrems with inequality constraints.

5. Linear programming.

6. Simplex method.

7. Non-linear programming.

8. Adaptive search methods.

9. Gradient methods.

10. Penalty functions.

11. Fundamentals of dynamic programming.

12. Resource distribution problem.

13. Fundamentals of vector optimization.

14. Construction of a Pareto set.

Entry requirements -
Last update: Borská Lucie RNDr. Ph.D. (16.09.2019)

Mathematics A, B

Registration requirements -
Last update: Borská Lucie RNDr. Ph.D. (16.09.2019)


Course completion requirements -
Last update: Pátková Vlasta (16.11.2018)

Solving the given problem. Written and oral exam.