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| 摘要: |
| 本文研究了长方对偶矩阵的加权对偶群逆的存在性与表示问题.利用矩阵的秩和分块表示等给出了长方对偶矩阵的加权对偶群逆存在的若干充分必要条件,并在加权对偶群逆存在的情形下给出了其表达式,推广了对偶群逆的相关结论.通过数值例子说明了加权对偶群逆存在时的计算方法. |
| 关键词: 对偶矩阵 加权对偶群逆 存在性 表示 |
| DOI： |
| 分类号:O151.21 |
| 基金项目:国家自然科学基金资助项目(12261043);江西省教育厅科技项目(GJJ210884);江西理工大学清江青年英才支持计划(JXUSTQJYX2017007). |
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| THE EXISTENCE AND REPRESENTATION OF THE WEIGHTED DUAL GROUP INVERSES OF RECTANGULAR DUAL MATRICES |
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TAN Jing-jing,ZHONG Jin
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| Abstract: |
| The problem of the existence and representation of the weighted dual group inverses of rectangular dual matrices is studied. Some sufficient and necessary conditions for the existence of the weighted dual group inverse are presented by rank and block expressions and so on, the representation of the weighted dual group inverse is also given whenever it exists, which extends the corresponding results of the dual group inverse. The computing method of the weighted dual group inverse is illustrated by a numerical example. |
| Key words: dual matrix weighted dual group inverse existence representation |
