| ON THE ｛2｝－INVERSE AND SOME ORDERING PROPERTIES OF NONNEGATIVE DEFINITE MATRICES |
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| 引用本文： | 王松桂.ON THE ｛2｝－INVERSE AND SOME ORDERING PROPERTIES OF NONNEGATIVE DEFINITE MATRICES[J].应用数学学报(英文版),1996,12(1):22-27. |
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| 作者姓名： | 王松桂 |
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| 作者单位： | ERKKI P. LISKI (Depertment of Mathematical Sciences，University of Tampers，Finland)WANG SONGGUI(Department of Applied Mathematics，Beijing Polytechnic University，Beijing 100022，China ) |
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| 摘 要： | ＥＲＫＫＩＰ．ＬＩＳＫＩ（ＤｅｐｅｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃａｌＳｃｉｅｎｃｅｓ，ＵｎｉｖｅｒｓｉｔｙｏｆＴａｍｐｅｒｓ，Ｆｉｎｌａｎｄ）ＷＡＮＧＳＯＮＧＧＵＩ（王松桂）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉ...
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| 收稿时间： | 20 April 1992 |
On the {2}-inverse and some ordering properties of nonnegative definite matrices |
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| Erkki P. Liski,Songgui Wang.On the {2}-inverse and some ordering properties of nonnegative definite matrices[J].Acta Mathematicae Applicatae Sinica,1996,12(1):22-27. |
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| Authors: | Erkki P Liski Songgui Wang |
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| Institution: | (1) Department of Mathematical Sciences, University of Tampere, Finland;(2) Department of Applied Mathematics, Beijing Polytechnic University, 100022 Beijing, China |
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| Abstract: | An inverse G of a given matrix A satisfying the condition GAG=G is known as a {2}-inverse of A. This paper makes the {2}-inverse the starting point for studying the Lowner partial ordering of real nonnegative matrices. Simple basic properties of the {2}-inverses yield various extensions for the reverse ordering property, AB if and only if B-1A-1, of the positive definite matrices. |
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| Keywords: | inverse reflexive generalized inverse matrix partial ordering Lowner ordering |
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