| 由混合数据构造Jacobi矩阵 |
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| 引用本文： | 吕炯兴.由混合数据构造Jacobi矩阵[J].计算数学,1996,18(2):171-176. |
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| 作者姓名： | 吕炯兴 |
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| 作者单位： | 南京航空航天大学 |
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| 摘 要： | 由混合数据构造Ｊａｃｏｂｉ矩阵吕炯兴（南京航空航天大学）ＯＮＴＨＥＣＯＮＳＴＲＵＣＴＩＯＮＯＦＡＪＡＣＯＢＩＭＡＴＲＩＸＦＲＯＭＭＩＸＥＤＤＡＴＡ￥ＬｕＴｏｎｇ－ｘｉｎｇ（ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙｏｆＡｅｒｏｎａｕｔｉｃｓａｎｄＡｓｔｒｏｎ...
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| 关 键 词： | 雅可比矩阵 混合数据 反问题 特征值 |
ON THE CONSTRUCTION OF A JACOBI MATRIX FROM MIXED DATA |
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| Institution: | Lu Tong-xing (Nanjing University of Aeronautics and Astronautics) |
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| Abstract: | Abstract This paper discusses the following inverse problem: Problem MD. Given a set of distinct real numbers and n - 1 real numbers a1, a2,... , an/2], b1, b2, . .. bn-1)/2], (where x] denotes the greatest integer less than or equal to x). Construct a n x n Jacobi matrix J such that J has eigenvalues and where ei denotes the ith column of n×n identity matrix. The sufficient and necessary condition for the solubility of Problem MD is derived, and the algebraic expression of the solution is given if the solution exists. |
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