等权闭合水准间接平差法方程系数矩阵求逆研究

Inversion of coefficient matrix of equation by equal right closure level indirect adjustment

根据逆矩阵的定义,使用矩阵相乘的方法,证明了仅用一个行变量或者列变量表示所有矩阵元素的n阶矩阵是等权闭合水准间接平差法方程系数矩阵的逆矩阵。通过算例验证,该逆矩阵使得计算的复杂程度得到简化,水准测量平差计算的速度得到提高。

According to the definition of the inverse matrix,using the method of matrix multiplication,it is proved that a n order matrix with only one row or column variables denoted all of the matrix elements is the inverse matrix of the coefficient matrix of the equal right closed level indirect adjustment normal equation. The result of the calculation is verified by the numerical example,and the speed of adjustment calculation is improved.