| ON THE MULTIPLICATIVE INVERSE EIGENVALUE PROBLEMS |
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| 引用本文： | 张玉海. ON THE MULTIPLICATIVE INVERSE EIGENVALUE PROBLEMS[J]. 高等学校计算数学学报(英文版), 2003, 12(1) |
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| 作者姓名： | 张玉海 |
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| 作者单位： | School of |
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| 摘 要： | We present new sufficient conditions on the solvability and numerical methods for the following multiplicative inverse eigenvalue problem: Given an n x n real matrix A and n real numbers λ1 , λ2,..., λn, find n real numbers c1, c2,..., cn such that the matrix diag(c1,c2,...,cn)A has eigenvalues λ1,λ2,..., λn.
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ON THE MULTIPLICATIVE INVERSE EIGENVALUE PROBLEMS |
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| Zhang Yuhai School of Mathematics and System Sciences,Shandong University,Jinan ,PRC.. ON THE MULTIPLICATIVE INVERSE EIGENVALUE PROBLEMS[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2003, 12(1) |
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| Authors: | Zhang Yuhai School of Mathematics System Sciences Shandong University Jinan PRC. |
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| Affiliation: | School of Mathematics and System Sciences, Shandong University, Jinan 250100, PRC |
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| Abstract: | We present new sufficient conditions on the solvability and numericalmethods for the following multiplicative inverse eigenvalue problem: Given an n × nreal matrix A and n real numbers λ1 , λ2 , . . . ,λn, find n real numbers c1 , c2 , . . . , cn suchthat the matrix diag(c1, c2,..., cn)A has eigenvalues λ1, λ2,..., λn. |
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| Keywords: | linear algebra eigenvalue problem inverse problem |
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