CAJ | 학술논문

利用初等矩阵理论的方法,证明了投影矩阵序的判定定理,此定理是研究复杂系统的第二条基础定理.对称分析理论和正交分析理论是研究复杂系统的基本理论,矩阵象是研究对称性和正交性的主要工具,此定理的主要作用是研究处理矩阵象的序运算规律,这些规律是提出的GL算法、零成分搜索法、对称性全局方差分析、正交性全局方差分析等起源于东方文化的新方法的数学基础.
이용초등구진이론적방법,증명료투영구진서적판정정리,차정리시연구복잡계통적제이조기출정리.대칭분석이론화정교분석이론시연구복잡계통적기본이론,구진상시연구대칭성화정교성적주요공구,차정리적주요작용시연구처리구진상적서운산규률,저사규률시제출적GL산법、령성분수색법、대칭성전국방차분석、정교성전국방차분석등기원우동방문화적신방법적수학기출.
Using the theory of elementary matrix, this paper proves the decision theorem of the projection matrix order which is the second fundamental theorem to study the complicated system. As symmetric analysis theory and orthogonal analysis theory are the two fundamental theories to study complicated system, and matrix image is the main tool to study symmetry and orthogonality, the decision theorem is mainly used to study the op- eration law of matrix image which is the base of the new eastern culture - oriented methods, such as GL, zero el- ement search method, symmetry global variance analysis and orthogonality global variance analysis and so on.