Year: 2022
Author: Meiling Xiang, Hua Dai
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 185–200
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.250321.230821
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 185–200
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Quadratic inverse eigenvalue problem multiparameter eigenvalue problem smooth $QR$-decomposition Newton method.