论文部分内容阅读
2.消去过程中同时求出逆矩阵。我们先看一看上述消去法用于求逆矩阵的情况,这时,以i一个单位矩阵代替原来的右端得S_(11) S_(12)…S_(1m) 1 0…0S_(21) S_(22)…S_(2m) 0 1…0…………S_(m1) S_(m2)…S_(MM) 0 … 1…………(2.1)由线性代数知识可知,若按消去法运算将左端矩阵变为单位矩阵时,原来右端的单位矩阵,就与此同时变成了系数矩阵的逆矩阵。具体说来按(1.15)消去第1列得:
2. Eliminate the process of finding the inverse matrix. Let us first take a look at the elimination of the above method used to find the inverse of the matrix, then, to a unit of i instead of the original right-end has been S_ (11) S_ (12) ... S_ (1m) 1 0 ... 0S_ (21) S_ (22) ... S_ (2m) 0 1 ... 0 S_ (m1) S_ (m2) ... S_ (MM) 0 ... 1 (2.1) From the knowledge of linear algebra, When the leftmost matrix is changed into a unit matrix, the original rightmost unit matrix becomes an inverse matrix of the coefficient matrix at the same time. Specifically, press (1.15) to eliminate the first column was: