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In which of these methods, after factorization, the pattern of zero elements in the combined L and U matrices the same as the original coefficient matrix?(a) LU decomposition(b) ILU decomposition(c) ILU(0) decomposition(d) ILU(1) decompositionI had been asked this question in an online quiz.This is a very interesting question from Numerical Methods in section Numerical Methods of Computational Fluid Dynamics

Answer»

The CORRECT choice is (a) LU decomposition

Best explanation: The EXTRA non-zero elements in the factorized MATRICES are called fill-ins. In ILU(p), p INDICATES the order of fill-in allowed. So, where there is no fill-in, the PATTERN of combined L and U matrices and the coefficient matrix will be the same.



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