矩阵初等变换的非数值建模及应用研究

Non-numerical Modeling of Elementary Transformations of Matrix and Model's Application Research

通过分析矩阵初等变换的一般应用,本文建立一个记录矩阵初等变换过程的记录模型。该记录模型不仅能记录矩阵变换过程的所有参数,同时也能减少实际应用中矩阵变换的计算量。通过把记录模型应用于求逆矩阵的实际计算,并与传统的单位矩阵扩展变换的运算方法进行对比测试。结果表明,记录模型比传统的计算方法效率更高。

This paper builds the record-model that records the process of the elementary transformations of the matrix by analyzing their popular application. The record-model can record all the parameters of the transformation process, and reduces the calcula- tion complex of the matrix transformation. The test results show that the record-model has the better performance than the tradition method in calculating inverse matrix.