@Article{EAJAM-12-1,
author = {Xiang, Meiling and Hua, Dai},
title = {On Parameterised Quadratic Inverse Eigenvalue Problem},
journal = {East Asian Journal on Applied Mathematics},
year = {2022},
volume = {12},
number = {1},
pages = {185--200},
abstract = {<p style="text-align: justify;">It is shown that if prescribed eigenvalues are distinct, then the parameterised
quadratic inverse eigenvalue problem is equivalent to a multiparameter eigenvalue problem. Moreover, a sufficient condition for the problem solvability is established. In order
to find approximate solution of this problem, we employ the Newton method based on
the smooth $QR$-decomposition with column pivoting and prove its locally quadratic convergence. Numerical examples illustrate the effectiveness of the method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.250321.230821},
url = {https://global-sci.com/article/82460/on-parameterised-quadratic-inverse-eigenvalue-problem}
}