Newton–Schulz iterations, initialized by a scaled transpose or an LS–Gram polynomial, converge to the i-conjugate Moore–Penrose inverse of any rectangular split-quaternion matrix, and C†AR† is the optimal CUR middle factor.
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Iterative Methods for Computing the Moore--Penrose Inverse of Split-Quaternion Matrices with Applications
Newton–Schulz iterations, initialized by a scaled transpose or an LS–Gram polynomial, converge to the i-conjugate Moore–Penrose inverse of any rectangular split-quaternion matrix, and C†AR† is the optimal CUR middle factor.