Numerical deflation of the transcendental eigenvalue problem
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- 作者：Kumar Vikram Singha ; singhkv@miamioh.edu" class="auth_mail" title="E-mail the corresponding author ; Yitshak M. Ramb ; 1
- 关键词：Transcendental eigenvalue problem ; Deflation ; Continuous systems
- 刊名：Mechanical Systems and Signal Processing
- 出版年：2017
- 出版时间：15 January 2017
- 年：2017
- 卷：83
- 期：Complete
- 页码：522-532
- 全文大小：623 K
文摘
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Iterative method for computing eigenvalues using numerical deflation is developed.
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It combines Newton’s method of root finding and numerical deflation of computed roots.
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Prescribed number of roots can be computed iteratively with a fixed initial guess.
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The solution strategy needed for the case of repeated roots is also presented.
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Examples of systems with infinite eigenvalues are given to assess its performance.