| 一类对称正定及半正定的左右逆特征值问题 |
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| 引用本文： | 傅少川,杜世田,曹建胜,黄炳家. 一类对称正定及半正定的左右逆特征值问题[J]. 山东大学学报(工学版), 2000, 30(4): 311-315 |
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| 作者姓名： | 傅少川 杜世田 曹建胜 黄炳家 |
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| 作者单位： | 1. 山东工业大学数理系济南 250061
2. 石油大学应用数学系东营 257062 |
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| 摘 要： | 针对实际问题中经常遇到广义特征值的逆问题，研究了一类对称正定及半正定的左右逆特征问题，给出了这类问题的对称解，对称正定解，对称半正定解存在的充要条件与其解的表达式.
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| 关 键 词： | 特征值问题；逆问题；解；/对称正定解；广义奇异值分解 |
| 修稿时间： | 1999-12-02 |
A CLASS OF LEFT AND RIGHT INVERSE EIGENVALUE PROBLEMS FOR POSITIVE DEFINITE SYMMETRIC AND POSITIVE SEMIDEFINITE SYMMETRIC MATRICES |
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| Fu Shaochuan Du Shitian. A CLASS OF LEFT AND RIGHT INVERSE EIGENVALUE PROBLEMS FOR POSITIVE DEFINITE SYMMETRIC AND POSITIVE SEMIDEFINITE SYMMETRIC MATRICES[J]. Journal of Shandong University of Technology, 2000, 30(4): 311-315 |
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| Authors: | Fu Shaochuan Du Shitian |
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| Abstract: | It has always been met the generalized inverse eigenvalue problem in accordence with the practical problems. In this paper, a class of left and right inverse eigenvalue problems for positive definite symmetric and positive semidefinite symmetric matrices is investigated. The conditions of existing solutions with necessity and sufficency and their expression of solutions of symmetric, positive definite and positive semidefinite solutions for this problem are given. |
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| Keywords: | Characteristic value problems Inverse problem Solutions /Positive definite symmetric solutions Generalized singular value decomposition |
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