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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linear algebra, an incompleteLUfactorization (abbreviated as ILU) of a matrix is a sparse approximation of the LUfactorization often used as a preconditioner...
right triangular matrices). Let A be a square matrix. An LUfactorization refers to the factorization of A, with proper row and/or column orderings or permutations...
project International Longshoremen's Association, labor union IncompleteLUfactorization ilu, the nominative plural masculine form of the Akkadian stem...
In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite...
[citation needed] For indefinite systems, preconditioners such as incompleteLUfactorization, additive Schwarz, and multigrid perform poorly or fail entirely...
the U-D factorization uses the same amount of storage, and somewhat less computation, and is the most commonly used triangular factorization. (Early literature...
numbers mod n)", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation Lü, Kebo; Wang, Jun (2006), "k-step Fibonacci sequence modulo m", Utilitas Mathematica...
results of matrix arithmetic operations like matrix multiplication, factorization or inversion can be approximated in O ( n k α log ( n ) β ) {\displaystyle...
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...
(algebraic integration, factoring, Gröbner), Paul S. Wang (polynomial factorization and GCD, complex numbers, limits, definite integration, Fortran and...
{\displaystyle O{\mathord {\left(kn^{2+\varepsilon }\right)}}} Integer factorization A b {\displaystyle b} -bit input integer A set of factors General number...
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...
Thabit ibn Qurra's theorem, introducing important new ideas concerning factorization and combinatorial methods. He also gave the pair of amicable numbers...
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...
Ruffini's rule: a practical method developed by Paolo Ruffini allowing the factorization of polynomials (without degree limitation) as products of binomials...