A sorting algorithm for complex eigenvalues
Abstract
We present SPECRE, a new algorithm to sort complex eigenvalues, generated as the solutions to algebraic equations, whose coefficients are analytic functions of one or many, possibly complex parameters. The fact that the eigenvalues are analytic functions of the parameters, with atmost algebraic singularities, is used in formulating the algorithm. Several examples are presented to demonstrate the efficacy of the method; simple examples where other methods fail are also presented. The algorithm is likely to be useful in several problems of physics and engineering that require identification and sorting of eigenmodes.
 Publication:

arXiv eprints
 Pub Date:
 June 2020
 DOI:
 10.48550/arXiv.2006.14254
 arXiv:
 arXiv:2006.14254
 Bibcode:
 2020arXiv200614254S
 Keywords:

 Physics  Fluid Dynamics;
 Mathematics  Numerical Analysis
 EPrint:
 9 pages, 7 Figures