| 矩阵在等价分解下的Penrose型广义逆的通式 |
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| 引用本文： | 何楚宁. 矩阵在等价分解下的Penrose型广义逆的通式[J]. 经济数学, 2009, 0(4) |
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| 作者姓名： | 何楚宁 |
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| 作者单位： | 湖南师范大学,数学与计算机科学学院,湖南,长沙,410081 |
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| 基金项目： | 湖南省自然科学基金资助项目(08JJ3006) |
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| 摘 要： | 设A∈Rrm×n,本文讨论了矩阵A在等价分解下的13类Moore-Penrose型广义逆的通式.由于等价分解是矩阵论及其应用中的一种重要的分解,并且本文所给出的通式只需通过矩阵的初等变换和乘法运算就能得到,故这些通式在相关的理论研究和实际应用中是有一定价值的.
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| 关 键 词： | 通式 等价分解 Penrose型广义逆 |
THE GENERAL FORMS FOR PENROSE-INVERSES OF A MATRIX UNDER THE EQUIVALENCE DECOMPOSTION |
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| HE Chu-ning. THE GENERAL FORMS FOR PENROSE-INVERSES OF A MATRIX UNDER THE EQUIVALENCE DECOMPOSTION[J]. Mathematics in Economics, 2009, 0(4) |
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| Authors: | HE Chu-ning |
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| Affiliation: | HE Chu-ning(College of Mathematics and Computer Science; Hunan Normal University; Changsha; Hunan 410081); |
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| Abstract: | We provide the general forms of Penrose-inverses of a real matrix under the matrix equivalence decomposition.The general forms are useful since the matrix equivalence decomposition is important in matrix theory and its applications,and the new general forms under the decomposition can be obtained easily in many cases. |
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| Keywords: | general form equivalence decomposition Penrose-inverse |
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