Quadratic inverse eigenvalue problem for damped gyroscopic systems
نویسندگان
چکیده
منابع مشابه
An Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems
The inverse eigenvalue problem of constructing symmetric positive semidefinite matrixD written as D ≥ 0 and real-valued skew-symmetric matrix G i.e., G −G of order n for the quadratic pencilQ λ : λMa λ D G Ka, whereMa > 0,Ka ≥ 0 are given analytical mass and stiffness matrices, so that Q λ has a prescribed subset of eigenvalues and eigenvectors, is considered. Necessary and sufficient condition...
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We first give the representation of the general solution of the following inverse quadratic eigenvalue problem IQEP : given Λ diag{λ1, . . . , λp} ∈ Cp×p , X x1, . . . , xp ∈ Cn×p, and both Λ and X are closed under complex conjugation in the sense that λ2j λ2j−1 ∈ C, x2j x2j−1 ∈ C for j 1, . . . , l, and λk ∈ R, xk ∈ R for k 2l 1, . . . , p, find real-valued symmetric 2r 1 -diagonal matrices M,...
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We consider the quadratic eigenvalues problem (QEP) of gyroscopic systems ðlMþ lGþ KÞx 1⁄4 0, where M 1⁄4 M>;G 1⁄4 G> and K 1⁄4 K> 2 R n with M being positive definite. Guo [Numerical solution of a quadratic eigenvalue problem, Linear Algebra and its Applications 385 (2004) 391–406] showed that all eigenvalues of the QEP can be found by solving the maximal solution of a nonlinear matrix equatio...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2014
ISSN: 0377-0427
DOI: 10.1016/j.cam.2012.11.026