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2014 Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems
Hong-Xiu Zhong, Guo-Liang Chen, Xiang-Yun Zhang
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/703178

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 kn. Then, with the special properties D=0 and K<0, we construct a particular solution. Numerical results illustrate these solutions.

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Hong-Xiu Zhong. Guo-Liang Chen. Xiang-Yun Zhang. "Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/703178

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010719
MathSciNet: MR3166781
Digital Object Identifier: 10.1155/2014/703178

Rights: Copyright © 2014 Hindawi

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