Encyclopedia > Matrix decomposition

  Article Content

Matrix decomposition

Matrix decompositions are mathematical operations that transforms a given matrix to some canonical form.

For example, the singular value decomposition for matrix M is

<math>\mathbf M = U\Sigma V^*</math>
where U is an m-by-m unitary matrix over K, V is an n-by-n unitary matrix over K, and Σ is an m-by-n diagonal matrix whose diagonal entries Σi,i are non-negative real numbers.

Most common matrix decompositions are:



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
French resistance

... (Combat paper was privatized in 1949 and became the usual commercial newspaper.) Combat Zone Nord[?] Comite d’Action Socieliste[?] (CAS) - Founded in January 1941 ...

 
 
 
This page was created in 119.9 ms