block decomposition

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• Block matrix pseudoinverse — is a formula of pseudoinverse of a partitioned matrix. This is useful for decomposing or approximating many algorithms updating parameters in signal processing, which are based on least squares method. Derivation Consider a column wise… …   Wikipedia

• Block LU decomposition — In linear algebra, a Block LU decomposition is a decomposition of a block matrix into a lower block triangular matrix L and an upper block triangular matrix U . This decomposition is used in numerical analysis to reduce the complexity of the… …   Wikipedia

• Block matrix — In the mathematical discipline of matrix theory, a block matrix or a partitioned matrix is a matrix broken into sections called blocks. Looking at it another way, the matrix is written in terms of smaller matrices.[1] We group the rows and… …   Wikipedia

• Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …   Wikipedia

• Functional decomposition — refers broadly to the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts by function composition. In general, this process of …   Wikipedia

• LU decomposition — In linear algebra, LU decomposition (also called LU factorization) is a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as… …   Wikipedia

• Schur decomposition — In the mathematical discipline of linear algebra, the Schur decomposition or Schur triangulation (named after Issai Schur) is an important matrix decomposition. Statement The Schur decomposition reads as follows: if A is a n times; n square… …   Wikipedia

• Jordan–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… …   Wikipedia

• Dantzig–Wolfe decomposition — is an algorithm for solving linear programming problems with special structure. It was originally developed by George Dantzig and Phil Wolfe and initially published in 1960[1]. Many texts on linear programming have sections dedicated to… …   Wikipedia

• Randomized block design — In the statistical theory of the design of experiments, blocking is the arranging of experimental units in groups (blocks) that are similar to one another. Typically, a blocking factor is a source of variability that is not of primary interest to …   Wikipedia

• Time-evolving block decimation — The time evolving block decimation (TEBD) algorithm is a numerical scheme used to simulate one dimensional quantum many body systems, characterized by at most nearest neighbour interactions.It is dubbed Time evolving Block Decimation because it… …   Wikipedia