Shift Strategy for Gyroscopically Stabilized Quadratic Systems
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2017, Vol 5, Issue 6
Abstract
In this paper we consider a special class of the quadratic eigenvalue problems, gyroscopically stabilized quadratic problems. All eigenvalue of the gyroscopically stabilized quadratic problems are real and lying in four disjoint intervals. Since the bounds of these intervals are not exactly known we cannot apply variational characterization for this kind of problems in full. The aim of this paper is to use a shift strategy to determine the interval at which variational characterization can be applied, for negative eigenvalues the negative type .
Authors and Affiliations
Aleksandra Kostić
Keywords
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