用变换矩阵法解电路的线性方程组

本文所论述的变换矩阵法是高斯消去法的一种变态形式。作者从求解电路线性方程组的实际出发,通过简要的理论分析,说明这种计算方法的原理,导出计算公式,给出了因子表,并说明它与三角分解的关系。这种计算方法的实质是把系数矩阵的多次初等变换加以合并,并以变换矩阵的形式表现出来。用这种方法可以很方便地将系数矩阵变换成上三角矩阵或单位矩阵。最后,通过电路计算的简例说明这种方法的运用。

Solve Simultaneous Linear Equation of Electric Circuit by Transform Matrix Method

The transform matrix method discussed in this paper is an abnormal form of Gauss' elimiation. The author proceeds from actual conditions to solve simultaneous linear equations of electric circuit, explains the principle of this computational method and derives computational formulas by means of brief theoretical analysis. In addition, factor table is given and the relation between it and triangular decomposition is also explained. It is the substance of this method that the elementary transformations of a coefficient matrix are merged and expressed in the form of transform matrix. Thus a coefficient matrix is conveniently transformed into an upper triangular matrix or an unit matrix. Lastly, the use of this method has been illustrated by simple examples of electric circuit.