| 一个来自振动理论反问题的矩阵方程 |
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| 引用本文： | 吴筑筑,王国荣. 一个来自振动理论反问题的矩阵方程[J]. 高校应用数学学报(英文版), 2003, 18(1): 77-82. DOI: 10.1007/s11766-003-0087-1 |
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| 作者姓名： | 吴筑筑 王国荣 |
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| 作者单位： | Wu Zhuzhu Wang Guorong Dept. of Computer,Shaoguan Univ.,Guangdong Shaoguan 512005,China. College of Math.Sciences,Shanghai Normal Univ.,Shanghai 200234,China. |
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| 基金项目： | NationalNaturalScienceFoundationofChina(199710 5 7)andScienceandTechnologyFoundationofShanghaiandShanghaiHigherEducationProject (0 0JC140 5 7) . |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＬｅｔＲｎ×ｍｄｅｎｏｔｅｔｈｅｒｅａｌｎ×ｍｍａｔｒｉｘｓｐａｃｅ ,Ｒｎ×ｍｒ ｉｔｓｓｕｂｓｅｔｗｈｏｓｅｅｌｅｍｅｎｔｓｈａｖｅｒａｎｋｒ ,ＯＲｎ×ｎｔｈｅｓｅｔｏｆａｌｌｎ×ｎｏｒｔｈｏｇｏｎａｌｍａｔｒｉｃｅｓ,ＳＲｎ×ｎ(ＳＲｎ×ｎ≥ ,ＳＲｎ×ｎ>)ｔｈｅｓｅｔｏｆａｌｌｎ×ｎｒｅａｌｓｙｍｍｅｔｒｉｃ (ｓｙｍｍｅｔｒｉｃｐｏｓｉｔｉｖｅｓｅｍｉｄｅｆｉｎｉｔｅ ,ｐｏｓｉｔｉｖｅｄｅｆｉｎｉｔｅ)ｍａｔｒｉｃｅｓ.ＴｈｅｎｏｔａｔｉｏｎＡ>0 (≥ 0 ,<0 ,≤ 0 )ｍ…
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| 收稿时间： | 2002-02-22 |
A matrix equation from an inverse problem of vibration theory |
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| Wu Zhuzhu,Wang Guorong. A matrix equation from an inverse problem of vibration theory[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(1): 77-82. DOI: 10.1007/s11766-003-0087-1 |
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| Authors: | Wu Zhuzhu Wang Guorong |
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| Affiliation: | Dept.of Computer,Shaoguan Univ.,Guangdong Shaoguan 512005,China;College of Math.Sciences,Shanghai Normal Univ.,Shanghai 200234,China |
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| Abstract: | The symmetric,positive semidefinite,and positive definite real solutions of the matrix equation XA=YAD from an inverse problem of vibration theory are considered.When D=T the necessary and sufficient conditions for the existence of such solutions and their general forms are derived. |
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| Keywords: | matrix equation symmetric matrix positive semidefinite matrix positive definite matrix generalized inverse matrix. |
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