On the General Algebraic Inverse Eigenvalue Problems
Year: 2004
Author: Yuhai Zhang
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 567–580
Abstract
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 n×n matrices A=(aij),Ak=(a(k)ij)(k=1,2,⋯,n) and n distinct real numbers λ1,λ2,⋯,λn, find n real number c1,c2,⋯,cn such that the matrix A(c)=A+n∑k=1ckAk has eigenvalues λ1,λ2,⋯,λn.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10306
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 567–580
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Linear algebra Eigenvalue problem Inverse problem.
Author Details
Yuhai Zhang Email