Consider the global matrix AΦ=b. If my coefficient matrix A is the same for different b vectors, which of these methods is economic?(a) Gauss elimination(b) TDMA(c) LU decomposition(d) PDMAI have been asked this question during an online exam.My question is based upon Numerical Methods in section Numerical Methods of Computational Fluid Dynamics

Consider the global matrix AΦ=b. If my coefficient matrix A is the sa

1.	Consider the global matrix AΦ=b. If my coefficient matrix A is the same for different b vectors, which of these methods is economic?(a) Gauss elimination(b) TDMA(c) LU decomposition(d) PDMAI have been asked this question during an online exam.My question is based upon Numerical Methods in section Numerical Methods of Computational Fluid Dynamics
Answer» Correct option is (c) LU decomposition The EXPLANATION is: Once matrix A is factorized in the LU decomposition method, the same factorized MATRICES can be used to SOLVE DIFFERENT b vectors. Because decomposition does not depend upon the b vector. This is the MAJOR advantage of the LU decomposition method.

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