# On the Inverse Symmetric Quadratic Eigenvalue Problem

@article{Lancaster2014OnTI, title={On the Inverse Symmetric Quadratic Eigenvalue Problem}, author={Peter Lancaster and Ion Zaballa}, journal={SIAM J. Matrix Anal. Appl.}, year={2014}, volume={35}, pages={254-278} }

The detailed spectral structure of symmetric, algebraic, quadratic eigenvalue problems has been developed recently. In this paper we take advantage of these canonical forms to provide a detailed analysis of inverse problems of the following form: construct the coefficient matrices from the spectral data including the classical eigenvalue/eigenvector data and sign characteristics for the real eigenvalues. An orthogonality condition dependent on these signs plays a vital role in this construction…

## 14 Citations

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