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Academic Journal
A two-step Ulm-Chebyshev-like Cayley transform method for inverse eigenvalue problems with multiple eigenvalues
Wei Ma, Zhenhao Li, Yuxin Zhang
AIMS Mathematics, Vol 9, Iss 8, Pp 22986-23011 (2024)
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| Title | A two-step Ulm-Chebyshev-like Cayley transform method for inverse eigenvalue problems with multiple eigenvalues |
|---|---|
| Authors | Wei Ma, Zhenhao Li, Yuxin Zhang |
| Publication Year |
2024
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| Source |
AIMS Mathematics, Vol 9, Iss 8, Pp 22986-23011 (2024)
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| Description |
Our focus in this study was on examining the convergence problem of a novel method, inspired by the Ulm-Chebyshev-like Cayley transform method, which was designed to solve the inverse eigenvalue problems (IEPs) with multiple eigenvalues. Compared with other existing methods, the proposed method has higher convergence order and/or requires less operations. Under the assumption that the relative generalized Jacobian matrices at a solution are nonsingular, the proposed method was proved to be convergent with cubic convergence. Experimental findings demonstrated the practicality and efficiency of the suggested approaches.
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| Document Type |
article
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| Language |
English
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| Publisher Information |
AIMS Press, 2024.
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| Subject Terms | |
