Year: 2022
Author: Meiling Xiang, Hua Dai
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 333–352
Abstract
A Newton method for solving quadratic inverse eigenvalue problems is proposed. The method is based on the properties of the smallest singular value of a matrix. In order to reduce computational cost, we use approximations of the smallest singular value and the corresponding unit left and right singular vectors obtained by the one-step inverse iteration. It is shown that both the proposed method and its modification have locally quadratic convergence. Numerical results confirm theoretical findings and demonstrate the effectiveness of the methods proposed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.020921.251121
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 333–352
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Quadratic inverse eigenvalue problem Newton method Newton-like method singular value singular vector.