solutions of a quadratic inverse eigenvalue problem for damped gyroscopic second-order systems

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ID: 174159
2014
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Abstract
Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n×n real matrices M, D, G, and K, where M>0, K and D are symmetric, and G is skew-symmetric, so that the quadratic pencil Q(λ)=λ2M+λ(D+G)+K has the given k pairs as eigenpairs. First, we construct a general solution to this problem with k≤n. Then, with the special properties D=0 and K<0, we construct a particular solution. Numerical results illustrate these solutions.
Reference Key
zhong2014journalsolutions Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Hong-Xiu Zhong;Guo-Liang Chen;Xiang-Yun Zhang
Journal Chemico-biological interactions
Year 2014
DOI
10.1155/2014/703178
URL
http://dx.doi.org/10.1155/2014/703178
Keywords
mathematics

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