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Topological analysis of eigenvalues in engineering computations

R.V.N. Melnik (Mathematical Modelling of Industrial Processes, CSIRO Mathematical and Information Sciences – Sydney, Macquarie University Campus, North Ryde, NSW, Australia)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 June 2000



The dynamics of coupling between spectrum and resolvent under ε‐perturbations of operator and matrix spectra are studied both theoretically and numerically. The phenomenon of non‐trivial pseudospectra encountered in these dynamics is treated by relating information in the complex plane to the behaviour of operators and matrices. On a number of numerical results we show how an intrinsic blend of theory with symbolic and numerical computations can be used effectively for the analysis of spectral problems arising from engineering applications.



Melnik, R.V.N. (2000), "Topological analysis of eigenvalues in engineering computations", Engineering Computations, Vol. 17 No. 4, pp. 386-416.




Copyright © 2000, MCB UP Limited

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