1 / 5

Introduction to Numerical Analysis I

Introduction to Numerical Analysis I. LU Factorization. MATH/CMPSC 455. LU Factorization. LU-factorization is a matrix representation of Gaussian elimination. Example:. Example:.

eagan-wolf
Download Presentation

Introduction to Numerical Analysis I

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. Introduction to Numerical Analysis I LU Factorization MATH/CMPSC 455

  2. LU Factorization LU-factorization is a matrix representation of Gaussian elimination

  3. Example: Example:

  4. Proposition: Let denote the lower triangular matrix whose only nonzero entries are 1’s on the main diagonal and –c in (i,j) position. The it represents the row operation “subtracting c times row j from row i.” Proposition: Proposition:

  5. Operation Count The LU factorization for a system of n equations in n variables can be completed by operations

More Related