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Incomplete LU factorization information


In numerical linear algebra, an incomplete LU factorization (abbreviated as ILU) of a matrix is a sparse approximation of the LU factorization often used as a preconditioner.

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Incomplete LU factorization

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linear algebra, an incomplete LU factorization (abbreviated as ILU) of a matrix is a sparse approximation of the LU factorization often used as a preconditioner...

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LU decomposition

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right triangular matrices). Let A be a square matrix. An LU factorization refers to the factorization of A, with proper row and/or column orderings or permutations...

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Ilu

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project International Longshoremen's Association, labor union Incomplete LU factorization ilu, the nominative plural masculine form of the Akkadian stem...

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Cholesky decomposition

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In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite...

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Computational fluid dynamics

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[citation needed] For indefinite systems, preconditioners such as incomplete LU factorization, additive Schwarz, and multigrid perform poorly or fail entirely...

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Preconditioner

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an approach to selecting sparsity patterns. Incomplete Cholesky factorization Incomplete LU factorization Successive over-relaxation Symmetric successive...

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List of numerical analysis topics

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an incomplete LU decomposition Kaczmarz method Preconditioner Incomplete Cholesky factorization — sparse approximation to the Cholesky factorization Incomplete...

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Edmond Chow

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PMID 28591599. Chow, E.; Patel, A. (2015-01-01). "Fine-Grained Parallel Incomplete LU Factorization". SIAM Journal on Scientific Computing. 37 (2): C169–C193. Bibcode:2015SJSC...

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Kalman filter

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the U-D factorization uses the same amount of storage, and somewhat less computation, and is the most commonly used triangular factorization. (Early literature...

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Fibonacci sequence

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numbers mod n)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation , Kebo; Wang, Jun (2006), "k-step Fibonacci sequence modulo m", Utilitas Mathematica...

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Hierarchical matrix

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results of matrix arithmetic operations like matrix multiplication, factorization or inversion can be approximated in O ( n k α log ⁡ ( n ) β ) {\displaystyle...

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Qubit

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ISBN 978-1-107-00217-3. Shor, Peter (1997). "Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer∗". SIAM Journal on Computing...

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Macsyma

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(algebraic integration, factoring, Gröbner), Paul S. Wang (polynomial factorization and GCD, complex numbers, limits, definite integration, Fortran and...

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Computational complexity of mathematical operations

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{\displaystyle O{\mathord {\left(kn^{2+\varepsilon }\right)}}} Integer factorization A b {\displaystyle b} -bit input integer A set of factors General number...

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List of unsolved problems in mathematics

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1-factorable. The perfect 1-factorization conjecture that every complete graph on an even number of vertices admits a perfect 1-factorization. Cereceda's conjecture...

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Timeline of mathematics

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Thabit ibn Qurra's theorem, introducing important new ideas concerning factorization and combinatorial methods. He also gave the pair of amicable numbers...

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Timeline of quantum computing and communication

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introduces the main ideas which were then developed in Peter Shor's factorization algorithm. Peter Shor, at AT&T's Bell Labs in New Jersey, publishes...

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Timeline of gravitational physics and relativity

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Kenneth Nordtvedt develops PPN formalism, 1967 – Mendel Sachs publishes factorization of Einstein's field equations, 1967 – Hans Stephani discovers the Stephani...

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List of Italian inventions and discoveries

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Ruffini's rule: a practical method developed by Paolo Ruffini allowing the factorization of polynomials (without degree limitation) as products of binomials...

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