Quadratic eigenvalue problems.
Abstract
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.
 Authors:
 Publication Date:
 Research Org.:
 Sandia National Laboratories
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 912651
 Report Number(s):
 SAND20072072
TRN: US200801%%965
 DOE Contract Number:
 AC0494AL85000
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; NONLINEAR PROBLEMS; MECHANICS; ACOUSTICS; ALGORITHMS; EIGENVALUES; Eigenvalues.; Quadratic assignment problem.
Citation Formats
Walsh, Timothy Francis, and Day, David Minot. Quadratic eigenvalue problems.. United States: N. p., 2007.
Web. doi:10.2172/912651.
Walsh, Timothy Francis, & Day, David Minot. Quadratic eigenvalue problems.. United States. doi:10.2172/912651.
Walsh, Timothy Francis, and Day, David Minot. 2007.
"Quadratic eigenvalue problems.". United States.
doi:10.2172/912651. https://www.osti.gov/servlets/purl/912651.
@article{osti_912651,
title = {Quadratic eigenvalue problems.},
author = {Walsh, Timothy Francis and Day, David Minot},
abstractNote = {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.},
doi = {10.2172/912651},
journal = {},
number = ,
volume = ,
place = {United States},
year = 2007,
month = 4
}
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