No CrossRef data available.
Article contents
Reconstruction of Structured Quadratic Pencils from Eigenvalueson Ellipses and Parabolas
Published online by Cambridge University Press: 17 July 2014
Abstract
In the present paper we study the reconstruction of a structured quadratic pencil fromeigenvalues distributed on ellipses or parabolas. A quadratic pencil is a square matrixpolynomial
QP(λ) = M λ2+Cλ +K,
where M,C, andK are realsquare matrices. The approach developed in the paper is based on the theory of orthogonalpolynomials on the real line. The results can be applied to more general distribution ofeigenvalues. The problem with added single eigenvector is also briefly discussed. As anillustration of the reconstruction method, the eigenvalue problem on linearized stabilityof certain class of stationary exact solution of the Navier-Stokes equations describingatmospheric flows on a spherical surface is reformulated as a simple mass-spring system bymeans of this method.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 5: Spectral problems , 2014 , pp. 138 - 147
- Copyright
- © EDP Sciences, 2014