乘幂法在地震属性分析中的应用

作者在本文中引入了计算矩阵最大本征值及其对应的本征向量的一种数学计算方法 ,即乘幂法。属性分析中有几项常用技术如第三代相干算法和多属性信息加权处理的综合参数法 ,算法中应用了协方差矩阵本征结构的分析。将算法过程稍加分析整理 ,可发现它们仅仅需要计算最大本征值及对应的本征向量。为了提高计算效率 ,应用乘幂法代替传统使用的雅可比法等方法 ,大大缩短了计算时间 ,而且不影响计算结果的精确性。

AN APPLICATION OF POWER ALGORITHM IN THE SEISMIC ATTRIBUTE ANALYSIS

This paper introduces a mathematical method Power Algorithm, which is used to calculate maximum eigen value and corresponding eigenvector of a matrix. In attribute analysis, some conventional technologies such as the third generation Coherence Algorithm and multi attribute weighted comprehensive parameter method, are based on the analysis of covariance matrix eigen structure. Analyzing the procedure of processing algorithm, we found out that they only need computation of maximum eigen value and corresponding eigenvector. To improve computation efficiency, we replace the traditional Jacob method by this Power Algorithm, which reduces largely calculating time without losing accuracy.