@Article{JCM-22-4,
author = {Zhang, Yuhai},
title = {On the General Algebraic Inverse Eigenvalue Problems},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {4},
pages = {567--580},
abstract = {<p style="text-align: justify;">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 $n\times n$ matrices $A=(a_{ij}),A_k=(a_{ij}^{(k)})(k=1,2,\cdots,n)$ and $n$ distinct real numbers $\lambda_1,\lambda_2,\cdots,\lambda_n,$ find $n$ real number $c_1,c_2,\cdots,c_n$ such that the matrix $A(c)=A+\sum\limits_{k=1}^{n}c_k A_k$ has eigenvalues $\lambda_1,\lambda_2,\cdots,\lambda_n.$</p>},
issn = {1991-7139},
doi = {https://doi.org/2004-JCM-10306},
url = {https://global-sci.com/article/85243/on-the-general-algebraic-inverse-eigenvalue-problems}
}