CentralNotice Matrix decomposition From Wikipedia, the free encyclopedia Jump to: navigation , search In the mathematical discipline of linear algebra , a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices. There are many different matrix decompositions; each finds use among a particular class of problems. 1 Example 2 Decompositions related to solving systems of linear equations 2.1 LU decomposition 2.2 LU reduction 2.3 Block LU decomposition 2.4 Rank factorization 2.5 Cholesky decomposition 2.6 QR decomposition 2.7 RRQR factorization 2.8 Singular value decomposition 3 Decompositions based on eigenvalues and related concepts 3.1 Eigendecomposition 3.2 Jordan decomposition 3.3 Schur decomposition 3.4 QZ decomposition 3.5 Takagi's factorization 4 Other decompositions 5 See also 6 References 7 ...