On the general algebraic inverse eigenvalue problems

CSpace

	On the general algebraic inverse eigenvalue problems
	Zhang, YH
	2004-07-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	22 期号:4 页码:567-580
摘要	A number of new results on sufficient conditions for the solvability and numerical algorithms of the following general algebraic inverse eigenvalue problem are obtained: Given n+1 real nxn matrices A = (a(ij)), A(k) = (a(ij)((k))) (k = 1, 2,..., n) and n distinct real numbers lambda(1), lambda(2), ..., lambda(n), find n real numbers c(1), c(2), ..., c(n) such that the matrix A(c) = A + Sigma(k=1)(n)c(k)A(k) has eigenvalues lambda(1), lambda(2), ..., lambda(n).
关键词	linear algebra eigenvalue problem inverse problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000222902000008
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/624
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, YH
作者单位	1.Shandong Univ, Dept Math, Jinan 250100, Peoples R China 2.Chinese Acad Sci, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, YH. On the general algebraic inverse eigenvalue problems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2004,22(4):567-580.
APA	Zhang, YH.(2004).On the general algebraic inverse eigenvalue problems.JOURNAL OF COMPUTATIONAL MATHEMATICS,22(4),567-580.
MLA	Zhang, YH."On the general algebraic inverse eigenvalue problems".JOURNAL OF COMPUTATIONAL MATHEMATICS 22.4(2004):567-580.