Open AccessQuadratic eigenvalue problems.
Author(s) -
Timothy Walsh,
David Day
Publication year - 2007
Language(s) - English
Resource type - Reports
DOI - 10.2172/912651
Subject(s) - eigenvalues and eigenvectors , quadratic equation , focus (optics) , nonlinear system , divide and conquer eigenvalue algorithm , mathematics , eigenvalue perturbation , mathematical analysis , calculus (dental) , mathematical optimization , physics , geometry , medicine , dentistry , quantum mechanics , optics
In this report we will describe some nonlinear eigenvalue problems that arise in the areas of solid mechanics, acoustics, and coupled structural acoustics. We will focus mostly on quadratic eigenvalue problems, which are a special case of nonlinear eigenvalue problems. Algorithms for solving the quadratic eigenvalue problem will be presented, along with some example calculations
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