Download presentation

1
**Cyclic Coordinate Method**

IENG511 Optimization Theory NASIM SADEGH Spring

2
**Cyclic Coordinate Method**

This method uses the coordinate axes as the search directions. More specifically, the method searches along the directions d1 ,..., dn where d1 is a vector of zeros except for a 1 at the jth position. Thus, along the search direction dj, the variable x j is changed while all other variables are kept fixed.

3
**Summary of the Cyclic Coordinate Method**

4
**Example Consider the following problem:**

Note that the optimal solution to this problem is (2, 1) with objective value equal to zero. Table bellow gives a summary of computations for the cyclic coordinate method starting from the initial point (0, 3). Note that at each iteration, the vectors y2 and y3 are obtained by performing a line search in the directions (1, 0) and (0, l), respectively. Also note that significant progress is made during the first few iterations, whereas much slower progress is made during later iterations. After seven iterations, the point (2.22, 1.1 l), whose objective value is , is reached.

6
**Convergence of the Cyclic Coordinate Method**

7
Acceleration Step

8
**Thanks for your attention**

Similar presentations

Presentation is loading. Please wait....

OK

Method of Hooke and Jeeves

Method of Hooke and Jeeves

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Private cloud microsoft ppt online Ppt on product advertising ideas Ppt on world environment day history Mp ppt online form Ppt on logic gates class 12 Ppt on video teleconferencing for social security Ppt on needle stick injury report Ppt on carburetor Ppt on c language fundamentals ii Ppt on phonetic transcription of english words