【摘要】 研究广义双随机矩阵反问题.给出广义双随机矩阵的最小二乘解,得到了解的具体表达形式.并讨论了用广义双随机矩阵构造给定矩阵的最佳逼近问题,给出该问题有解的充分必要条件和解的表达形式.包括算法及数值例子.更多还原

【Abstract】 This paper is concerned with the inverse problem for n-by-n generalized doubly stochastic matrices.The least-square solutions of n×n generalized doubly stochastic matrices are studied.In addition,the problem of using generalized doubly stochastic matrices to construct the optimal approximation to a given matrix is discussed,and the expression of the solution is provided.The algorithms and numerical examples are included.更多还原