Real and complex solutions of the total least squares problem in commutative quaternionic theory

被引：2
作者：
Zhang, Dong [1 ]
Jiang, Tongsong [2 ,3 ]
Guo, Zhenwei [1 ]
Vasil'ev, V. I. [1 ]
机构：
[1] North Eastern Fed Univ, Inst Math & Informat Sci, Yakutsk 677000, Russia
[2] Shandong Xiandai Univ, Sch Elect Informat, Jinan 250104, Shandong, Peoples R China
[3] Linyi Univ, Sch Math & Stat, Linyi 276005, Shandong, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 04期
关键词：
Commutative quaternion matrix; Complex representation; Real representation; Total least squares problem; SYSTEM;
D O I：
10.1007/s40314-024-02755-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As a very effective research tool, the commutative quaternion least squares (LS) problems, especially the commutative quaternion total least squares (TLS) problems, have a wide range of potential applications in mathematical physics, telecommunications, and image processing. This paper studies the commutative quaternion TLS problem using the real and complex representation of a commutative quaternion matrix and gives two algorithms for solving the real and complex solutions of the commutative quaternion TLS problem in commutative quaternionic theory.
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页数：14
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