Difference between revisions of "LU Decomposition"

From NaplesPU Documentation
Jump to: navigation, search
Line 1: Line 1:
 +
__FORCETOC__
 +
 
= Summary =
 
= Summary =
  
Line 6: Line 8:
  
 
= Algorithm Description =
 
= Algorithm Description =
 +
LU Decomposition is used in solving systems of linear equations 
 +
 +
[[File:ax=b.png|center|75px]]
 +
 +
Algorithm decomposes A in:
 +
 +
* [[File:U.png|15px]] upper triangolar matrix
 +
* [[File:L.png|15px]] lower triangolar matrix

Revision as of 18:16, 1 February 2018


Summary

LU Decomposition is an example of how to use Nu+ features to optimize an algorithm, using multithreaded and vectorial code.

Reusable code decomposition and multithreaded and vectorial optimization methods are shown; they can be applied to every other parallelizable algorithm, from image processing to machine learning ones.

Algorithm Description

LU Decomposition is used in solving systems of linear equations

Ax=b.png

Algorithm decomposes A in:

  • U.png upper triangolar matrix
  • L.png lower triangolar matrix