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长方形矩阵的广义逆矩阵的计算方法 被引量:1

A Calculation Method for Generalized Inverse Matrix of Rectangular Matrix
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摘要 矩阵是工程技术以及经济管理等领域的不可缺少的数学工具,凡是用到矩阵的地方,基本上都要涉及广义逆矩阵,尤其在数值分析与数理统计中有着重要的作用.利用分块矩阵的初等变换,得到了求长方形矩阵的广义逆矩阵Am-,Al-的一种方法.该方法克服了传统的满秩分解法的复杂运算,简便易行、便于操作. Matrix is an important mathematical tool in the field of economic management and engineering technology, etc. Generalized inverse matrix would be employed wherever matrix must be used. It is especially important in numeric analysis and mathematical statistics. In this paper, a method to find the generalized inverse matrix Am^-, Al^- of the rectangular matrix is obtained with elementary transformation of block matrix. This method overcomes the complex operation of full rank decomposition. It is simple and feasible, easy to operate.
作者 邓勇
出处 《绵阳师范学院学报》 2008年第2期34-37,共4页 Journal of Mianyang Teachers' College
关键词 长方形矩阵 广义逆矩阵 分块矩阵 初等变挟 rectangular matrix generalized inverse matrix block matrix elementary transformation
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