Algebraic methods for equality constrained least squares problems in commutative quaternionic theory

被引：8

作者：

Zhang, Dong ^{[1
,2
]}

Wang, Gang ^{[1
,2
]}

Vasil'ev, V., I ^{[1
]}

Jiang, Tongsong ^{[1
,2
]}

机构：

[1] North Eastern Fed Univ, Inst Math & Informat Sci, Yakutsk 677000, Russia

[2] Heze Univ, Sch Math & Stat, Heze, Shandong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期

关键词：

commutative quaternion; complex representation; equality constrained least squares; matrix norm; real representation;

D O I：

10.1002/mma.8603

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper, by means of two matrix representations of a commutative quaternion matrix, studies the relationship between the solutions of commutative quaternion equality constrained least squares (LSE) problems and that of complex and real LSE problems and derives two algebraic methods for finding the solutions of equality constrained least squares problems in commutative quaternionic theory.

引用

页码：1699 / 1708

页数：10

共 23 条

[21] LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory
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Jia, Zhi-Gang
Jiang, Tong-Song
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (10) : 2208 - 2220
[22] Real structure-preserving algorithm for quaternion equality constrained least squares problem
Li, Ying
Zhang, Yanzhen
Wei, Musheng
Zhao, Hong
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (07) : 4558 - 4566
[23] Model reduction for large-scale dynamical systems via equality constrained least squares
An, Yu'e
Gu, Chuanqing
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (08) : 2420 - 2431

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