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In page Cholesky decomposition:
"There are various methods for calculating the Cholesky decomposition. The computational complexity of commonly used algorithms is O(n3) in general.[citation needed] The algorithms described below all involve about (1/3)n3 FLOPs (n3/6 multiplications and the same number of additions) for real flavors and (4/3)n3 FLOPs for complex flavors,[1] where n is the size of the matrix A. Hence, they have half the cost of the LU decomposition, which uses 2n3/3 FLOPs (see Trefethen and Bau 1997).
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