A New Algebraic Technique for Quaternion Constrained Least Squares Problems

被引：9
|
作者：
Jiang, Tongsong [1 ,2 ]
Zhang, Zhaozhong [2 ]
Jiang, Ziwu [2 ]
机构：
[1] Heze Univ, Dept Math, Heze 274015, Shandong, Peoples R China
[2] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2018年 / 28卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Equality constrained least squares; Quadratic inequality constrained least squares; Generalized singular values decomposition; Quaternion matrix; Complex representation; QUANTUM-MECHANICS;
D O I：
10.1007/s00006-018-0838-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the constrained least squares problems of quaternion matrices by means of complex representation of quaternion matrices, and derive a novel algebraic technique for the quaternion equality constrained least squares (LSE) and quadratic inequality constrained least squares (LSQI) problems by generalized singular values decomposition (GSVD) of complex matrices.
引用
收藏
页数：10
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