Quadratic eigenvalue problems.

Walsh, Timothy Francis ; Day, David Minot

Sandia National Laboratories

关键词: Mechanics;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;    Acoustics;    Quadratic Assignment Problem.;    Eigenvalues Eigenvalues.;   

DOI  :  10.2172/912651
RP-ID  :  SAND2007-2072
RP-ID  :  AC04-94AL85000
RP-ID  :  912651

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.