Computing Methods in (Dual) Quaternion Matrix/Tensor
Session Organizers:
- Qing-Wen Wang (Shanghai University),
- Xin Liu (Macau University of Science and Technology),
- Yang Zhang (University of Manitoba).
Session Abstract:
The researches on (dual) quaternions have been one of the important topics in algebra for a long time. Nowadays as one important part of contemporary mathematics, matrices/tensors over quaternions are widely and heavily used in many areas such as computer vision, data mining, system and control theory, and video/signal processing. No matter concerning the development of matrix/tensor theory or solving practical problems, further studying on efficient computing methods for quaternion matrices/tensors is essential.
The topics in this session include various matrix/tensor decompositions such as SVD, LU and QR decompositions, matrix/tensor completion, eigenvalue problems and solving generalized Sylvester matrix (tensor) equations. Moreover, it will cover algorithm implementation, software development, and their applications in video/image processing, system and control theory, etc.
Session Talks:
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