matrix computation

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• Matrix-Kettenmultiplikation — bezeichnet die Multiplikation von mehreren Matrizen. Da die Matrizenmultiplikation assoziativ ist, kann man dabei beliebig klammern. Dadurch wächst die Anzahl der möglichen Berechnungswege exponentiell mit der Länge der Matrizenkette an. Mit der… …   Deutsch Wikipedia

• Matrix chain multiplication — is an optimization problem that can be solved using dynamic programming. Given a sequence of matrices, we want to find the most efficient way to multiply these matrices together. The problem is not actually to perform the multiplications, but… …   Wikipedia

• Matrix multiplication — In mathematics, matrix multiplication is a binary operation that takes a pair of matrices, and produces another matrix. If A is an n by m matrix and B is an m by p matrix, the result AB of their multiplication is an n by p matrix defined only if… …   Wikipedia

• Matrix representation — This article is about the layout of matrices in the memory of computers. For the representation of groups and algebras by matrices in linear algebra, see representation theory. Matrix representation is a method used by a computer language to… …   Wikipedia

• Matrix determinant lemma — In mathematics, in particular linear algebra, the matrix determinant lemma[1][2] computes the determinant of the sum of an invertible matrix A and the dyadic product, u vT, of a column vector u and a row vector vT. Contents 1 Statemen …   Wikipedia

• Kernel (matrix) — In linear algebra, the kernel or null space (also nullspace) of a matrix A is the set of all vectors x for which Ax = 0. The kernel of a matrix with n columns is a linear subspace of n dimensional Euclidean space.[1] The dimension… …   Wikipedia

• Square root of a matrix — In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product B · B is equal to A.[1] Contents 1 Properties 2 Computation methods …   Wikipedia

• Jordan matrix — In the mathematical discipline of matrix theory, a Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix which is composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element… …   Wikipedia

• Non-negative matrix factorization — NMF redirects here. For the bridge convention, see new minor forcing. Non negative matrix factorization (NMF) is a group of algorithms in multivariate analysis and linear algebra where a matrix, , is factorized into (usually) two matrices, and… …   Wikipedia

• Eigendecomposition of a matrix — In the mathematical discipline of linear algebra, eigendecomposition or sometimes spectral decomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and… …   Wikipedia

• Cauchy matrix — In mathematics, a Cauchy matrix is an m imes n matrix A, with elements in the form:a {ij}={frac{1}{x i y j;quad x i y j eq 0,quad 1 le i le m,quad 1 le j le nwhere x i and y j are elements of a field mathcal{F}, and (x i) and (y j) are injective… …   Wikipedia