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Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations

Applied Mathematics and Computation, no. 1 (2006): 727-738

Cited: 62|Views31
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Abstract

We present a practical and efficient means to compute the singular value decomposition (SVD) of a real or complex quaternion matrix A based on bidiagonalization of A to a real or complex bidiagonal matrix B using quaternionic Householder transformations. Computation of the SVD of B using an existing subroutine library such as lapack provi...More

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