School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China
Copyright © 2009 Yongxin Yuan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The inverse eigenvalue problem of constructing symmetric positive semidefinite matrix
(written as ) and real-valued skew-symmetric matrix (i.e., ) of order for the quadratic pencil , where , are given
analytical mass and stiffness matrices, so that 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.