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
Digital Rights Management

... which restricted them from including certain features in their players such as a digital output which could be used to extract a high-quality digital copy of the ...

 
 
 
This page was created in 38.5 ms