matrix factorization

Matrix Factorization

A matrix factorization (or matrix decomposition) is the right-hand-side product in


for “input” matrix A. The number of factor matrices k depends on the situation. Most often, k=2 or k=3.

Note that the process of producing a factorization/decomposition is also called “factorization” or “decomposition”.


Some common factorizations and related devices are:

See the entries for these and other matrix factorizations for details on the contents of the factor matrices, where to apply them, and how to best calculate them.

Simultaneous matrix factorization

A related problem is to diagonalize or tridiagonalize many matrices using the same matrix. Some results in this direction are listed below:

Title matrix factorization
Canonical name MatrixFactorization
Date of creation 2013-03-22 14:15:07
Last modified on 2013-03-22 14:15:07
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 10
Author mathcam (2727)
Entry type Definition
Classification msc 15A23
Synonym matrix decomposition
Related topic IsawasaDecomposition
Defines factor matrix