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In linear algebra, a Block LU decomposition is a matrix 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 block matrix formula.
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linear algebra, a BlockLUdecomposition is a matrix decomposition of a block matrix into a lower block triangular matrix L and an upper block triangular matrix...
SolveLinearSystem(LU, B) A * x BlockLUdecomposition Bruhat decomposition Cholesky decomposition Crout matrix decomposition Incomplete LU factorization LU Reduction...
A\mathbf {x} =\mathbf {b} } , the matrix A can be decomposed via the LUdecomposition. The LUdecomposition factorizes a matrix into a lower triangular matrix...
Cholesky decomposition is roughly twice as efficient as the LUdecomposition for solving systems of linear equations. The Cholesky decomposition of a Hermitian...
operations to block tridiagonal matrices (see also BlockLUdecomposition). A matrix A {\displaystyle A} is upper block triangular (or block upper triangular)...
a true LUdecomposition of the original matrix. The argument applies also for the determinant, since it results from the blockLUdecomposition that det...
result of a multiplication Matrix decompositions: LUdecomposition — lower triangular times upper triangular QR decomposition — orthogonal matrix times triangular...
This decomposition is closely related to the singular value decomposition of a matrix and is known as an 'Euler' or 'Bloch-Messiah' decomposition. If instead...
easier to solve, they are very important in numerical analysis. By the LUdecomposition algorithm, an invertible matrix may be written as the product of a...
{\displaystyle M^{\frac {1}{2}}} for any such decomposition, or specifically for the Cholesky decomposition, or any decomposition of the form M = B B ; {\displaystyle...
decomposed (i.e. factored) in O ( n 2 ) {\displaystyle O(n^{2})} time. The Bareiss algorithm for an LUdecomposition is stable. An LUdecomposition gives...
decreases in size successively from LaB4 to LuB4. The tetraborides of the lighter lanthanides melt with decomposition to LnB6. Attempts to make EuB4 have failed...
- A relatively new block cipher algorithm. Neural Net - A small but functional back-propagation network simulator. LUDecomposition - A robust algorithm...
are referred to as decomposition methods. Examples include the LUdecomposition, the QR decomposition or the Cholesky decomposition (for positive definite...
value decomposition. It also includes routines to implement the associated matrix factorizations such as LU, QR, Cholesky and Schur decomposition. LAPACK...
is one of several low-molecular-weight end products formed via the decomposition of certain primary and secondary lipid peroxidation products. However...
are displayed in the following order: [code];[name];[gc];[cc];[bc];[decomposition];[nv-dec];[nv-dig];[nv-num];[bm];[alias];;[upper case];[lower case];[title...
subset of that range. Unicode adds a block property to UCS that further divides each plane into separate blocks. Each block is a grouping of characters by their...
transport vehicle. The bodies of Yin and Lu were located on 27 July, when neighbours noticed the smell of Yin's decomposing corpse and had the landlord open the...
properties. Many natural materials consist of inorganic and organic building blocks distributed on the nanoscale. In most cases the inorganic part provides...
the decomposition of hydrogen peroxide (H2O2). The platinum particle catalyzes the surface chemical reaction: 2H2O2 → O2 + 2H2O. The decomposition of hydrogen...
thermal decomposition, phosphoric acid is formed. This reacts to form pyrophosphoric acid, which, when in its condensed phase, acts to block heat transfer...
them into a modified version of the original signal. The process of decomposition performed by the filter bank is called analysis (meaning analysis of...
Frobenius matrix. Then the first part of the algorithm computes an LUdecomposition, while the second part writes the original matrix as the product of...
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