Mathematics, 24.05.2021 14:00 kenz391

Suppose the matrix A is real but has complex eigenvalues. If the initial vector w in the power method is real, then all other quantities, including approximate eigenvalues, generated by the algorithm will be real. Hence if the eigenvalue of A of largest absolute value has nonzero imaginary part, then the power method will not converge to it. Can you explain this apparent paradox?

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