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WEN ChaoTao, Chen Xiao-Shan. A Note on Computing the Polar Decomposition[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(1): 114-117.
Citation: WEN ChaoTao, Chen Xiao-Shan. A Note on Computing the Polar Decomposition[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(1): 114-117.

A Note on Computing the Polar Decomposition

  • Let p be an even number greater than 1. In this paper, based on the Newton method for solving the equation x^-p-1=0, the new numerical method is proposed to compute the polar decomposition of a nonsingular matrix and its quadratic convergence is proved. Numerical examples show that this numerical method is efficient.
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