an inverse eigenvalue problem for damped gyroscopic second-order systems
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ID: 145566
2009
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Abstract
The inverse eigenvalue problem of constructing symmetric positive semidefinite matrix
๐ท (written as ๐ทโฅ0) and real-valued skew-symmetric matrix ๐บ (i.e., ๐บ๐=โ๐บ) of order ๐ for the quadratic pencil ๐(๐)โถ=๐2๐๐+๐(๐ท+๐บ)+๐พ๐, where ๐๐>0, ๐พ๐โฅ0 are given
analytical mass and stiffness matrices, so that ๐(๐) has a prescribed subset of eigenvalues and eigenvectors, is considered. Necessary and sufficient conditions under which this quadratic inverse eigenvalue problem is solvable are specified.
| Reference Key |
yuan2009mathematicalan
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|---|---|
| Authors | ;Yongxin Yuan |
| Journal | journal of power sources |
| Year | 2009 |
| DOI |
10.1155/2009/725616
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