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Theory and Modern Applications

Table 2 Comparison of the total number of operations for the inverse of A

From: Determinants and inverses of perturbed periodic tridiagonal Toeplitz matrices

Algorithms

Number operations

LU decomposition algorithm

\(\frac{ n^{3}}{2}+n^{2}+\frac{ 43n}{2}-30\)

Algorithm 2

\(\frac{ 7n^{2}}{2}- \frac{11 n}{2}+63\)