Topological analysis of eigenvalues in engineering computations
Abstract
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.
Keywords
Citation
Melnik, R.V.N. (2000), "Topological analysis of eigenvalues in engineering computations", Engineering Computations, Vol. 17 No. 4, pp. 386-416. https://doi.org/10.1108/02644400010334810
Publisher
:MCB UP Ltd
Copyright © 2000, MCB UP Limited