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01-09-2021 | Issue 3/2021

Calcolo 3/2021

A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics

Journal:
Calcolo > Issue 3/2021
Authors:
Gang Wang, Tongsong Jiang, Zhenwei Guo, Dong Zhang
Important notes
This paper is supported by the National Natural Science Foundation of China (No. 11771188), Chinese Government Scholarship (CSC No. 202008370340) and Shandong Natural Science Foundation (No. ZR201709250116).

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Abstract

Matrix decompositions play a prominent role in the theoretical study and numerical calculation of split quaternion mechanics. This paper, by means of a complex representation of split quaternion matrices, introduces Gaussian elimination of split quaternion matrices, and obtains a complex structure-preserving algorithm for split quaternion matrix LDU decomposition. Numerical examples show that the complex structure-preserving algorithm is more efficient.

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