{\displaystyle A\in \mathbb {F} ^{m\times n}} , a rank decomposition or rank factorization of A is a factorization of A of the form A = CF, where C ∈ F m × r...

non-negative matrix factorizations was performed by a Finnish group of researchers in the 1990s under the name positive matrix factorization. It became more...

(so-called rank-revealing QR factorization), which are still more numerically robust than Gaussian elimination. Numerical determination of rank requires...

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...

{\displaystyle r\times (n-r)} matrix B {\displaystyle \mathbf {B} } (see rank factorization) and, hence, A = ( A 1 A 1 B ) . {\displaystyle \mathbf {A} ={\begin{pmatrix}\mathbf...

Problem 73-14, Rank Factorization of Nonnegative Matrices", SIAM Review 16(3), 393-394, 1974 Berman, A., Plemmons, R.J.: "Rank Factorization of Nonnegative...

triangular matrices). Let A be a square matrix. An LU factorization refers to the factorization of A, with proper row and/or column orderings or permutations...

An RRQR factorization or rank-revealing QR factorization is a matrix decomposition algorithm based on the QR factorization which can be used to determine...

In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field...

In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite...