Real asymmetric matrix eigenvalue analysis for dynamic instability problems

American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC

Volumn 68, Issue , 2000, Pages 45-51

  Lee, Heewook ^a,b   Kikuchi, Noboru ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b GENERAL MOTORS CORPORATION   (United States)

Author keywords

Asymmetric matrix; Brake squeal noise; Complex eigenvalue analysis; Double shift QR algorithm; Dynamic instability; QZ algorithm

Indexed keywords

EID: 0040196121     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (8)

1. Francis, J. G. F., "The QR transformation - a unitary analogue to the LR transformation: Part 1,2", The Computer Journal 4.3, 4 (1961, 1962): 265-271, 332-345
2. Wilkinson, J. H., The algebraic Eigenvalue Problem, Oxford: Clarendon Press (1965)
3. Wilkinson, J. H. and Reinsch, C., Linear Algebra, Springer-Verlag (1971)
4. Moler, C. B. and Stewart, G. W., "An algorithm for generalized matrix eigenvalue problems", Society for Industrial and Applied Mathematics Journal on Numerical Analysis 10.2 (1973): 241-256
5. Gockel, M. A. ed., Msc/Nastran Handbook for Dynamic Analysis, The Macneal-Schwendler Corporation, 1983
6. Funderlic, R. E. and Rinzel, J., "ALLMAT, A Fortran IV arbitrary matrix eigensystem solver", SHARE Program Library, SDANo. 3441 (1966)
7. Householder, A. S., "Unitary triangularization of a nonsymmetric matrix", Journal of The Association for Computing Machinary 5 (1958): 339-342
8. Lee, H., "An Optimal Design Method for Brake Squeal Noise Based on Complex Eigenvalue and Sensitivity Analyses and Response Surface Methodology", Ann Arbor, Michigan, Ph.D. Dissertation at The University of Michigan (2000)