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Статья

Highly Parallel Hardware-oriented Algorithm for Jacobi SVD of Hermitian Quaternion Valued Matrix

Parallel and Cloud Computing Research (PCCR). 2013. Vol. 1. No. 3. P. 41-49.
Doukhnitch E., Podbelskiy V. V.

In this study, new highly parallel algorithm of two-sided Jacobi 8-D transformation is suggested. It is oriented on VLSI-implementation of special processor array. This array is built using 8-D CORDIC algorithm for quaternion valued matrix singular value decomposition. Accuracy analysis and simulation results are added. Such array can be utilized to speed up the Jacobi method realization to compute the SVD of a quaternion matrix in signal and image processing.