Algebraic method for LU decomposition of dual quaternion matrix and its corresponding structure-preserving algorithm

Due to the increasing applications of dual quaternion and their matrices in recent years, as well as the significance of LU decomposition as a matrix decomposition technique, in this paper, we propose dual quaternion Gaussian transformation and obtain dual quaternion LU decomposition by using Gaussi...

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Bibliographic Details
Published in:	Numerical algorithms Vol. 97; no. 3; pp. 1367 - 1382
Main Authors:	Wang, Tao, Li, Ying, Wei, Musheng, Xi, Yimeng, Zhang, Mingcui
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2024 Springer Nature B.V
Subjects:	Algebra Algorithms Computer Science Coordinate transformations Decomposition Numbers Numeric Computing Numerical Analysis Original Paper Quaternions Robots Theory of Computation Transformations (mathematics) Gaussian transformation 15B33 Dual quaternion matrix LU decomposition Real structure-preserving algorithm
ISSN:	1017-1398, 1572-9265
Online Access:	Get full text
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