1 / 13

AEB 6184 – Production Gauss Seidel

AEB 6184 – Production Gauss Seidel. Elluminate - 2. Basic Idea. Using a first-order Taylor series expansion. General Function. Take a general function Suppose we want to solve for. General Function. First Order Setup. Applying the first-order Taylor series expansion

lyris
Download Presentation

AEB 6184 – Production Gauss Seidel

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. AEB 6184 – Production Gauss Seidel Elluminate - 2

  2. Basic Idea • Using a first-order Taylor series expansion

  3. General Function • Take a general function • Suppose we want to solve for

  4. General Function

  5. First Order Setup • Applying the first-order Taylor series expansion • To find the solution we substitute for the desired value of the function

  6. Iterations

  7. Two Equations – Two Unknowns • Building a two equation system • Extending the Taylor expansion

  8. Matrix Taylor Expansion • In Matrix form

  9. Jacobian • Jacobian

  10. Iteration

  11. Suppose we want to find the solution for f(x) =0.95 and g(x) = 0.75, starting from x1 = 0.50 and x2 = 0.50.

  12. Parameters of the Cobb-Douglas Function • Solving parameters

  13. X1=50, x2=65, P=3.00, w1=0.005, w2=0.004, Y=75.0

More Related