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An error bound of the multilevel adaptive cross approximation (MLACA), which is a multilevel version of the adaptive cross approximation-singular value decomposition (ACA-SVD), is rigorously derived. For compressing an off-diagonal submatrix of the method of moments (MoM) impedance matrix with a binary tree, the $L$-level MLACA includes $L+1$ steps, and each step includes $2^L$ ACA-SVD decompositions...
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