关于频率电磁测深几个问题的探讨(七)——解析广义逆矩阵反演法  

Analysis of generalized inverse matrix inversion

作　　者：陈明生 

机构地区：[1]中煤科工集团西安研究院有限公司,陕西西安710077

出　　处：《煤田地质与勘探》2014年第6期87-92,共6页Coal Geology & Exploration

摘　　要：从目标函数的线性化出发,采用奇异值分解法求广义逆矩阵并适当加阻尼,用迭代法直接解超定方程实现改进广义逆矩阵反演。进一步从理论与实际结合上阐明改进广义逆矩阵反演法的灵活、稳定,它涵盖了多种反演方法的优点,又具有自身特点,在实际应中适应性强,并能提供一些辅助信息,可更好地评价解释结果。In this paper, from a linear objective function, using the singular value decomposition method tocalculate generalized inverse matrix and add appropriate damping, using iterative method for solving overdeterminedequations directly, the improvement of generalized inverse matrix inversion is realized. Further from thecombination of theory and practice it is clarified that the generalized inverse matrix inversion method is flexibleand stable, it covers the advantages of multiple inversion method, but also has its own characteristics, in factadaptability is strong; it can provide some auxiliary information, can better evaluate interpretation results.

关 键 词：目标函数 奇异值分解 阻尼 广义逆矩阵反演法 辅助信息 评价解释结果 

分 类 号：P631[天文地球—地质矿产勘探]