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Start Over Descriptor "Dual quaternion" Topic bidiagonalization Topic matrices (mathematics) Database Academic Search Index

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1. Dual quaternion singular value decomposition based on bidiagonalization to a dual number matrix using dual quaternion householder transformations.

Author

Ding, Wenxv, Li, Ying, Wang, Tao, and Wei, Musheng

Subjects
*QUATERNIONS, *SINGULAR value decomposition, *QUATERNION functions, *MATRICES (Mathematics)
Abstract

We propose a practical method for computing the singular value decomposition of dual quaternion matrices. The dual quaternion Householder matrix is first proposed, and by combining the properties of dual quaternions, we can implement the transformation of a dual quaternion matrix to a bidiagonalized dual number matrix. We have proven that the singular values of a dual quaternion matrix are same to the singular values of its bidiagonalized dual number matrix. Numerical experiment demonstrates the effectiveness of our proposed method for computing the singular value decomposition of dual quaternion matrices. [ABSTRACT FROM AUTHOR]

Published
2024
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