【摘要】 利用线性方程组和向量、矩阵的范数,推导出矩阵求逆问题的条件数。而此条件数是矩阵求逆对该矩阵变动的敏感性的一个度量。用以度量计算结果逆矩阵的相对误差的比值可以用已知矩阵的相对误差来估计。更多还原

【Abstract】 The paper dervies the condition of matrix for inverse problem by using liner equationsand vector and norm of a matrix. The condition number is a measure to the snesitivity of matrix for inverse to the matrix changed. The value of rate of the relative error of inverse matrix with the result of measure computation can be estimated by using the relative error of known matrix .更多还原