diagonal decomposition
11QR decomposition — In linear algebra, the QR decomposition (also called the QR factorization) of a matrix is a decomposition of the matrix into an orthogonal and a right triangular matrix. The QR decomposition is often used to solve the linear least squares problem …
12Jordan–Chevalley decomposition — In mathematics, the Jordan–Chevalley decomposition, named after Camille Jordan and Claude Chevalley (also known as Dunford decomposition, named after Nelson Dunford, as well as SN decomposition), expresses a linear operator as the sum of its… …
13Iwasawa decomposition — In mathematics, the Iwasawa decomposition KAN of a semisimple Lie group generalises the way a square real matrix can be written as a product of an orthogonal matrix and an upper triangular matrix (a consequence of Gram Schmidt orthogonalization) …
14Polar decomposition — In mathematics, particularly in linear algebra and functional analysis, the polar decomposition of a matrix or linear operator is a factorization analogous to the polar form of a nonzero complex number z where r is the absolute value of z (a… …
15Crout matrix decomposition — In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular matrix (U) and, although not always needed, a permutation matrix (P). The Crout matrix… …
16Generalized singular value decomposition — In linear algebra the generalized singular value decomposition (GSVD) is a matrix decomposition more general than the singular value decomposition. It is used to study the conditioning and regularization of linear systems with respect to… …
17Symbolic Cholesky decomposition — In the mathematical subfield of numerical analysis the symbolic Cholesky decomposition is an algorithm used to determine the non zero pattern for the L factors of a symmetric sparse matrix when applying the Cholesky decomposition or… …
18Tucker decomposition — In mathematics, Tucker decomposition is decomposing a tensor into a set of matrices and one small core tensor.It is named after Ledyard R. Tucker [Cite journal author = Ledyard R. Tucker title = Some mathematical notes on three mode factor… …
19singular value decomposition — noun A particular type of factorisation of a matrix into a product of three matrices, of which the second is a diagonal matrix that has as the entries on its diagonal the singular values of the original matrix …
20Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …
