The number of operations for LU decomposition method is ____________ the number of operations for the Gauss elimination method.(a) twice(b) half of(c) one-third of(d) thriceThe question was asked in an interview for job.This key question is from Numerical Methods topic in section Numerical Methods of Computational Fluid Dynamics

The number of operations for LU decomposition method is ____________ t

1.	The number of operations for LU decomposition method is ____________ the number of operations for the Gauss elimination method.(a) twice(b) half of(c) one-third of(d) thriceThe question was asked in an interview for job.This key question is from Numerical Methods topic in section Numerical Methods of Computational Fluid Dynamics
Answer» Correct option is (a) TWICE To explain: LU decomposition is COMPUTATIONALLY more expensive than the Gauss elimination method. The number of operations INVOLVED is \(\frac{2N^3}{3}\). This is because the same PROCESS of Gauss elimination is carried out twice in the LU decomposition case.

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