If N is the number of unknowns, the number of operations required for backward substitution is ____________(a) \(\frac{N^3}{3}\)(b) \(\frac{N^3}{2}\)(c) \(\frac{N^2}{2}\)(d) \(\frac{N^2}{3}\)I had been asked this question during an interview.Query is from Numerical Methods in portion Numerical Methods of Computational Fluid Dynamics

If N is the number of unknowns, the number of operations required for

1.	If N is the number of unknowns, the number of operations required for backward substitution is ____________(a) \(\frac{N^3}{3}\)(b) \(\frac{N^3}{2}\)(c) \(\frac{N^2}{2}\)(d) \(\frac{N^2}{3}\)I had been asked this question during an interview.Query is from Numerical Methods in portion Numerical Methods of Computational Fluid Dynamics
Answer» Correct CHOICE is (C) \(\frac{N^2}{2}\) BEST explanation: The number of operations required for the overall Gauss elimination method is \(\frac{N^3}{3}\). The number of operations for backward SUBSTITUTION is \(\frac{N^2}{2}\). This high computational cost is the DISADVANTAGE of the Gauss elimination method.

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