FE501 – Questions for NLP

Convex and Concave Functions

1. 635

2022-12-26 at 10.14.17

2

2022-12-26 at 10.14.43

3. 634

2022-12-26 at 10.14.58

4.

2022-12-26 at 10.15.15

5. 636

2022-12-26 at 10.15.42

6.

2022-12-26 at 10.16.18

7.

2022-12-26 at 10.16.37

8.

2022-12-26 at 10.17.21

9.

2022-12-26 at 10.17.34

 

Solving NLPs with One Variable

1. 641

2022-12-26 at 10.06.54

2. 648

2022-12-26 at 10.07.49

3.

2022-12-26 at 10.08.10

4.

2022-12-26 at 10.08.22

Unconstrained Maximization and Minimization with Several Variables

1. 659

2022-12-26 at 09.47.16

2022-12-26 at 09.47.24

2.

2022-12-26 at 09.47.49

3. 660

2022-12-26 at 09.48.15

4.

2022-12-26 at 09.48.28

5.

2022-12-26 at 09.48.46

6.

2022-12-26 at 09.48.56

7. 658

2022-12-26 at 09.50.13

8. 656

2022-12-26 at 09.51.07

Lagrange Multipliers

1. E34 - 667

2022-12-26 at 09.40.44

2022-12-26 at 09.41.00

(NOTE:669-A-1)

2.

2022-12-26 at 09.41.49

2022-12-26 at 09.41.59

3.

2022-12-26 at 09.42.32

2022-12-26 at 09.42.46

 

The KKT Conditions - 679

1 - 679

2022-12-26 at 09.22.21

2.

2022-12-26 at 09.24.40

3.

2022-12-26 at 09.29.16

4.

2022-12-26 at 09.29.30

5.

2022-12-26 at 09.30.11

6.

2022-12-26 at 09.30.22

7.

2022-12-26 at 09.30.47

8. E33 676

2022-12-26 at 09.34.59

Quadratic Programming - 680

1 - 687

2022-12-26 at 09.01.15

 

Summary

1 - 705

2022-12-26 at 08.42.17

2

2022-12-26 at 08.43.32

3

2022-12-26 at 08.44.29

 

4

2022-12-26 at 08.45.26

5

2022-12-26 at 08.45.41

6

2022-12-26 at 08.46.01

7

2022-12-26 at 08.46.25

8 - 706

2022-12-26 at 08.48.07

9

2022-12-26 at 08.48.49

2022-12-26 at 08.48.58