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Computers and Technology, 24.02.2020 18:28 amandajennings01
Consider solving AX = B for X, where A is n-byn, and X and B are n-by-m. There are two obvious algorithms. The first algorithm factorizes A = PLU using Gaussian elimination and then solves for each column of X by forward and back substitution. The second algorithm computes A-' using Gaussian elimination and then multiplies X = A-1B. Count the number of flops required by each algorithm, and show that the first one requires fewer flops.
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Consider solving AX = B for X, where A is n-byn, and X and B are n-by-m. There are two obvious algor...
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