ON THE PURE IMAGINARY QUATERNIONIC LEAST SQUARES SOLUTIONS OF MATRIX EQUATION

被引：2

作者：

Wang, Minghui ^{[1
]}

Zhang, Juntao ^{[1
]}

机构：

[1] Qingdao Univ Sci & Technol, Dept Math, Qingdao 266061, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2016年 / 34卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Quaternion matrix; least squares problem; Algorithm LSQR; iterative method;

D O I：

10.14317/jami.2016.095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, according to the classical LSQR algorithm for solving least squares (LS) problem, an iterative method is proposed for finding the minimum-norm pure imaginary solution of the quaternionic least squares (QLS) problem. By means of real representation of quaternion matrix, the QLS's correspongding vector algorithm is rewrited back to the matrix-form algorthm without Kronecker product and long vectors. Finally, numerical examples are reported that show the favorable numerical properties of the method.

引用

页码：95 / 106

页数：12

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