| 矩阵和关于{1,2}逆与{1,3}逆的混合吸收律 |
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| 引用本文： | 李莹,高岩. 矩阵和关于{1,2}逆与{1,3}逆的混合吸收律[J]. 上海理工大学学报, 2011, 33(2) |
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| 作者姓名： | 李莹 高岩 |
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| 作者单位： | 1. 上海理工大学管理学院,上海,200093;聊城大学,数学科学学院,聊城,252059
2. 上海理工大学管理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 定义了两个矩阵和关于广义逆的混合第一和第二吸收律的概念,利用矩阵的广义Schur补、秩方法及奇异值分解(SVD)研究了两个矩阵和关于{1,2}-逆与{1,3}-逆的混合第一、第二吸收律成立的充要条件.
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| 关 键 词： | M-P逆 {i,j,k}-逆 广义Schur补 秩方法 奇异值分解 混合吸收律 |
Mixed absorption laws of the sum of two matrices on {1,2}inverse and {1,3}inverse |
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| LI Ying and GAO Yan. Mixed absorption laws of the sum of two matrices on {1,2}inverse and {1,3}inverse[J]. Journal of University of Shanghai For Science and Technology, 2011, 33(2) |
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| Authors: | LI Ying and GAO Yan |
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| Abstract: | The concepts of the mixed first absorption laws and the mixed second absorption laws on generalized inverse were given.Using the matrix rank method,the generalized Schur complement and singular value decomposition (SVD),necessary and sufficient conditions about the mixed first absorption laws and the mixed second absorption laws on {1,2}inverse and {1,3}inverse were established. |
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| Keywords: | MP inverse {i,j,k}inverse generalized Schur complement matrix rank method singular value decomposition mixed absorption laws |
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