In numerical analysis and linear algebra, lower–upper (LU) decomposition or factorization factors a matrix as the product of a lower triangular matrix...
39 KB (6,245 words) - 21:22, 16 October 2024
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...
3 KB (617 words) - 20:51, 3 June 2024
A\mathbf {x} =\mathbf {b} } , the matrix A can be decomposed via the LU decomposition. The LU decomposition factorizes a matrix into a lower triangular matrix...
26 KB (3,580 words) - 17:05, 12 March 2024
Cholesky decomposition is roughly twice as efficient as the LU decomposition for solving systems of linear equations. The Cholesky decomposition of a Hermitian...
51 KB (7,649 words) - 21:12, 30 September 2024
(complete) LU decomposition given by A = L ^ U ^ {\displaystyle A={\hat {L}}{\hat {U}}} , and the ILU by A = L U − R {\displaystyle A=LU-R} . Then |...
5 KB (872 words) - 21:34, 12 September 2024
In linear algebra, a QR decomposition, also known as a QR factorization or QU factorization, is a decomposition of a matrix A into a product A = QR of...
28 KB (4,632 words) - 13:25, 12 September 2024
In linear algebra, the Crout matrix decomposition is an LU decomposition which decomposes a matrix into a lower triangular matrix (L), an upper triangular...
3 KB (363 words) - 17:32, 5 September 2024
LU decomposition, a type of matrix factorization Permutation decomposition, decomposition of a permutation into disjoint cycles Primary decomposition...
3 KB (370 words) - 00:14, 17 May 2024
easier to solve, they are very important in numerical analysis. By the LU decomposition algorithm, an invertible matrix may be written as the product of a...
21 KB (3,152 words) - 16:39, 6 October 2024
Look up LU, Lu, or lu in Wiktionary, the free dictionary. Lu, Lü, or LU may refer to: Lu (music), Tibetan folk music Lu (duo), a Mexican band Lu (album)...
3 KB (414 words) - 09:07, 23 May 2024