• 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...
    3 KB (617 words) - 20:51, 3 June 2024
  • SolveLinearSystem(LU, B) A * x Block LU decomposition Bruhat decomposition Cholesky decomposition Crout matrix decomposition Incomplete LU factorization LU Reduction...
    54 KB (8,677 words) - 22:02, 11 June 2025
  • 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) - 22:14, 20 February 2025
  • Thumbnail for Block matrix
    operations to block tridiagonal matrices (see also Block LU decomposition). A matrix A {\displaystyle A} is upper block triangular (or block upper triangular)...
    31 KB (5,122 words) - 03:49, 2 June 2025
  • a true LU decomposition of the original matrix. The argument applies also for the determinant, since it results from the block LU decomposition that det...
    35 KB (4,285 words) - 01:37, 18 June 2025
  • Cholesky decomposition is roughly twice as efficient as the LU decomposition for solving systems of linear equations. The Cholesky decomposition of a Hermitian...
    56 KB (8,348 words) - 18:46, 28 May 2025
  • result of a multiplication Matrix decompositions: LU decomposition — lower triangular times upper triangular QR decomposition — orthogonal matrix times triangular...
    70 KB (8,327 words) - 09:12, 7 June 2025
  • This decomposition is closely related to the singular value decomposition of a matrix and is known as an 'Euler' or 'Bloch-Messiah' decomposition. The...
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  • most of Borger's items not encoded have straightforward etymological decomposition. There are still quite a number of universally recognized signs missing...
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  • Hankel matrix (0,1)-matrix Matrix decomposition Cholesky decomposition LU decomposition QR decomposition Polar decomposition Reducing subspace Spectral theorem...
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  • 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) - 21:09, 14 April 2025
  • transmitted information. Singular matrix Binomial inverse theorem LU decomposition Matrix decomposition Matrix square root Minor (linear algebra) Partial inverse...
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  • 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...
    109 KB (10,480 words) - 05:57, 26 May 2025
  • ... ) Linear Solvers (linear, least squares, incremental, ... ) Decompositions (LU, QR, Cholesky, SVD, Eigenvalue, ...) Matrix Features (rank, symmetric...
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  • decomposed (i.e. factored) in O ( n 2 ) {\displaystyle O(n^{2})} time. The Bareiss algorithm for an LU decomposition is stable. An LU decomposition gives...
    15 KB (2,078 words) - 08:02, 17 June 2025
  • algorithm was preceded by the LR algorithm, which uses the LU decomposition instead of the QR decomposition. The QR algorithm is more stable, so the LR algorithm...
    27 KB (4,226 words) - 04:59, 24 April 2025
  • Cholesky decomposition is especially useful for efficient numerical calculations. A closely related decomposition is the LDL decomposition, M = L D L...
    50 KB (8,817 words) - 17:28, 20 May 2025
  • New Tai Lue is a Unicode block containing characters for writing the Tai language. The following Unicode-related documents record the purpose and process...
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  • is one of several low-molecular-weight end products formed via the decomposition of certain primary and secondary lipid peroxidation products. However...
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  • Thumbnail for LAPACK
    value decomposition. It also includes routines to implement the associated matrix factorizations such as LU, QR, Cholesky and Schur decomposition. LAPACK...
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  • are referred to as decomposition methods. Examples include the LU decomposition, the QR decomposition or the Cholesky decomposition (for positive definite...
    91 KB (14,395 words) - 21:11, 31 May 2025
  • - A relatively new block cipher algorithm. Neural Net - A small but functional back-propagation network simulator. LU Decomposition - A robust algorithm...
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  • decompose data into constituent factors or reduce the learned parameters. Data tensor modeling techniques stem from the linear tensor decomposition (CANDECOMP/Parafac...
    31 KB (4,104 words) - 16:37, 16 June 2025
  • Thumbnail for Hydrogen peroxide
    The rate of decomposition increases with rise in temperature, concentration, and pH. H2O2 is unstable under alkaline conditions. Decomposition is catalysed...
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  • both using the matrix-matrix multiplication. In a similar way, the LU decomposition can be constructed using only recursion and multiplication. Both operations...
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    them into a modified version of the original signal. The process of decomposition performed by the filter bank is called analysis (meaning analysis of...
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  • relatively high temperatures necessary for this cyclization results in the decomposition of several NCAs. Of several improvements, one notable procedure involves...
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  • Thumbnail for Triphenyl phosphate
    thermal decomposition, phosphoric acid is formed. This reacts to form pyrophosphoric acid, which, when in its condensed phase, acts to block heat transfer...
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  • Thumbnail for Lanthanum acetylacetonate
    Yang, Lu; Zhang, Ya-Wen; Yan, Chun-Hua (2012-02-15). "Chemoaffinity-Mediated Synthesis of NaRES2-Based Nanocrystals as Versatile Nano-Building Blocks and...
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  • Unfortunately, applying Gaussian elimination (or equivalently an LU decomposition) to such a matrix results in the band being filled in by many non-zero...
    8 KB (1,170 words) - 13:59, 5 September 2024