Dual quaternion QR decompositon and its corresponding complex structure-preserving algorithms

The dual quaternion matrix has important application value in brain science and multi-agent formation control. In this paper, a practical method for realizing dual quaternion QR decomposition (DQQRD) is proposed by using a dual quaternion Householder transformation. Since the product of dual quatern...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 100; no. 3; pp. 1315 - 1331
Main Authors:	Sun, Jianhua, Li, Ying, Liu, Xiaochen, Zhang, Mingcui
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2025 Springer Nature B.V
Subjects:	Algebra Algorithms Computer Science Decomposition Eigenvalues Householder transformations Linear equations Multiagent systems Numeric Computing Numerical Analysis Quaternions Tensors Theory of Computation Column pivoting Complex structure-preserving algorithm The semi-tensor product of matrices Dual quaternion QR decomposition Householder transformation
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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