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A Ulm-like method for inverse eigenvalue problems |
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| Authors: | W.P. Shen C. Li X.Q. Jin |
| Affiliation: | a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China b Department of Mathematics, Zhejiang University, Hangzhou 310027, PR China c Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia d Department of Mathematics, University of Macau, Macao, PR China |
| Abstract: | We propose a Ulm-like method for solving inverse eigenvalue problems, which avoids solving approximate Jacobian equations comparing with other known methods. A convergence analysis of this method is provided and the R-quadratic convergence property is proved under the assumption of the distinction of given eigenvalues. Numerical experiments as well as the comparison with the inexact Newton-like method are given in the last section. |
| Keywords: | Nonlinear equation Inverse eigenvalue problem Inexact Newton-like method Ulm-like method |
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