Algebraic Method for Inequality Constrained Quaternion Least Squares Problem

被引：8
|
作者：
Ling, Sitao [1 ]
Xu, Xiangjian [2 ]
Jiang, Tongsong [3 ,4 ]
机构：
[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China
[2] Nantong Univ, Sch Sci, Nantong 226007, Peoples R China
[3] Linyi Univ, Dept Math, Linyi 276005, Peoples R China
[4] Shandong Univ, Dept Comp Sci & Technol, Jinan 250100, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2013年 / 23卷 / 04期
关键词：
Quaternion matrix; Quaternionic quantum theory; Inequality constrained least squares problem; Complex representation; QUANTUM-MECHANICS; ALGORITHM;
D O I：
10.1007/s00006-013-0392-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a kind of complex representation of quaternion matrices (or quaternion vectors) and quaternion matrix norms, study quaternionic least squares problem with quadratic inequality constraints (LSQI) by means of generalized singular value decomposition of quaternion matrices (GSVD), and derive a practical algorithm for finding solutions of the quaternionic LSQI problem in quaternionic quantum theory.
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页码：919 / 928
页数：10
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