Year: 2016
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 : pp. 664–685
Abstract
We study the convergence of an Ulm-like Cayley transform method for solving inverse eigenvalue problems which avoids solving approximate Jacobian equations. Under the nonsingularity assumption of the relative generalized Jacobian matrices at the solution, a convergence analysis covering both the distinct and multiple eigenvalues cases is provided and the quadratical convergence is proved. Moreover, numerical experiments are given in the last section to illustrate our results.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.2016.y15030
Numerical Mathematics: Theory, Methods and Applications, Vol. 9 (2016), Iss. 4 : pp. 664–685
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
-
An Improved Two‐Step Method for Inverse Eigenvalue Problems
Yang, Xinge | Shen, Weiping | Guo, Rui | Lou, EnpingNumerical Linear Algebra with Applications, Vol. (2024), Iss.
https://doi.org/10.1002/nla.2590 [Citations: 0] -
An extension of the Cayley transform method for a parameterized generalized inverse eigenvalue problem
Dalvand, Zeynab | Hajarian, Masoud | Roman, Jose E.Numerical Linear Algebra with Applications, Vol. 27 (2020), Iss. 6
https://doi.org/10.1002/nla.2327 [Citations: 3] -
Newton‐like and inexact Newton‐like methods for a parameterized generalized inverse eigenvalue problem
Dalvand, Zeynab | Hajarian, MasoudMathematical Methods in the Applied Sciences, Vol. 44 (2021), Iss. 6 P.4217
https://doi.org/10.1002/mma.7025 [Citations: 1] -
Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints
Hajarian, Masoud | Abbas, HassanComputers & Mathematics with Applications, Vol. 76 (2018), Iss. 6 P.1458
https://doi.org/10.1016/j.camwa.2018.06.038 [Citations: 9] -
A two-step Ulm-Chebyshev-like Cayley transform method for inverse eigenvalue problems with multiple eigenvalues
Ma, Wei | Li, Zhenhao | Zhang, YuxinAIMS Mathematics, Vol. 9 (2024), Iss. 8 P.22986
https://doi.org/10.3934/math.20241117 [Citations: 0]