The $$\mathcal {L_C}$$-Structure-Preserving Algorithms of Quaternion $$LDL^H$$ Decomposition and Cholesky Decomposition

Author:

Zhang Mingcui,Li YingORCID,Sun Jianhua,Ding Wenxv

Funder

the National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

the Discipline with Strong Characteristics of Liaocheng University-Intelligent Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference26 articles.

1. Krishnamoorthy, A., Menon, D.: Matrix inversion using Cholesky decomposition: signal processing: algorithms, architectures, arrangements, and applications (SPA). IEEE 2013, 70–72 (2013)

2. Harbrecht, H., Peters, M., Schneider, R.: On the low-rank approximation by the pivoted Cholesky decomposition. Appl. Numer. Math. 62(4), 428–440 (2012)

3. Shabat, G., Shmueli, Y., Aizenbud, Y.: Randomized LU decomposition. Appl. Comput. Harmon. Anal. 44(2), 246–272 (2018)

4. Golub, G.H., Reinsch, C.: Singular value decomposition and least squares solutions. Linear Algebra 2, 134–151 (1971)

5. Weiss, H.: Quaternion-based rate/attitude tracking system with application to gimbal attitude control. J. Guidance Control Dyn. 16(4), 609–616 (1993)

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