| 广义双随机矩阵反问题及其应用 |
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| 引用本文： | 周硕,吴柏生.广义双随机矩阵反问题及其应用[J].数学的实践与认识,2008,38(15). |
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| 作者姓名： | 周硕 吴柏生 |
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| 作者单位： | 1. 东北电力大学,理学院,吉林,132012;吉林大学,教学研究所,长春,130012
2. 吉林大学,教学研究所,长春,130012 |
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| 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.
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| 关 键 词： | 广义双随机矩阵 反问题 最佳逼近 马尔可夫过程 |
An Inverse Problem for Generalized Doubly Stochastic Matrices and Its Application |
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| ZHOU Shuo,WU Bai-sheng.An Inverse Problem for Generalized Doubly Stochastic Matrices and Its Application[J].Mathematics in Practice and Theory,2008,38(15). |
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| Authors: | ZHOU Shuo WU Bai-sheng |
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| 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. |
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| Keywords: | generalized doubly stochastic matrices inverse problem optimal approximation Markov stochastic processes |
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