华东师范大学学报(自然科学版)
華東師範大學學報(自然科學版)
화동사범대학학보(자연과학판)
JOURNAL OF EAST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE)
2009年
4期
39-46
,共8页
四元数最小二乘%复表示%法方程
四元數最小二乘%複錶示%法方程
사원수최소이승%복표시%법방정
quaternionic least squares%complex representation%normal equation
借助四元数矩阵的复表示,引进四元数矩阵范数,研究四元数最小二乘问题并得到了在四元数量子理论中解决四元数最小二乘问题的一种代数方法.数值算例说明了算法的有效性.
藉助四元數矩陣的複錶示,引進四元數矩陣範數,研究四元數最小二乘問題併得到瞭在四元數量子理論中解決四元數最小二乘問題的一種代數方法.數值算例說明瞭算法的有效性.
차조사원수구진적복표시,인진사원수구진범수,연구사원수최소이승문제병득도료재사원수양자이론중해결사원수최소이승문제적일충대수방법.수치산례설명료산법적유효성.
This paper introduced concepts of norms of quaternion matrices by means of complex representation of a quaternion matrix, studied the quaternionic least squares (QLS) problem and derived an algebraic method of finding solutions of the QLS problem in quaternionic quantum theory. A numerical example verified the efficiency of the algorithm.