解线性反演问题的几种方法探索  

The Exploration of Several Solutions of The Problem of Linear Invertion

作　　者：王岩[1] 

机构地区：[1]吉林建筑工程学院网络中心,长春130118

出　　处：《吉林建筑工程学院学报》2011年第2期83-86,共4页Journal of Jilin Architectural and Civil Engineering

摘　　要：本文分析了非约束反演的广义矩阵方法及矩阵的奇异值分解方法,证明了算法的可行性.同时,还详细分析了约束线性最小平方反演方法,以及对存在有观测误差的超定问题和欠定问题,能从无限多个可能解中得出单一解。This dissertation amply analyses the constraint inversion of the generalized matrix method and the singular value decomposition of matrix method and proves the feasibility of the presented algorithm.Meanwhile,a detailed analysis on the restrictive linear inversion method of least square,as well as the problem of the observation error of super setting and owe setting,which can draw a single solution from the possible infinite multiple solutions.

关 键 词：最小平方反演 矩阵的奇异值分解 约束反演 非约束反演 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]