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On optimal symmetric orthogonalisation and square roots of a normal matrix
Published online by Cambridge University Press: 17 April 2009
Abstract
It is well known that the factors in the polar decomposition of a full rank real m × n matrix, m ≥ n possess best approximation properties. We propose an iterative technique to compute the polar factors based on these best approximation properties. For normal matrices, the polar decomposition is useful. It is applied to compute the principal square roots of real and complex normal matrices.
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- Copyright © Australian Mathematical Society 1993