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3. Let A e Mnxn. Decompose A as A = D-L-U, where D is a diagonal matrix, L is a lower-triangular matrix and U is
3. Let A e Mnxn. Decompose A as A = D-L-U, where D is a diagonal matrix, L is a lower-triangular matrix and U is an upper triangular matrix. Assume further that D is invertible. Prove that A is strictly diagonally dominant if and only if ||D-1(L+U)||.
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