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
East Marion, New York

... The total area is 5.83% water. Demographics As of the census of 2000, there are 756 people, 329 households, and 222 families residing in the town. The populatio ...

 
 
 
This page was created in 29.4 ms