| Titre : | Improvement of the eigenvalue-counting method based on the argument principle (2008) |
| Auteurs : | Hyung-Jo Jung, Auteur ; Ji-Seong Jo, Auteur ; Byoung-Wan Kim, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Journal of engineering mechanics (Vol. 134 N°10, Octobre 2008) |
| Article en page(s) : | pp.907–912. |
| Note générale : | Mécanique appliquée |
| Langues : | Anglais |
| Tags : | Eigenvalues Damping Algorithms |
| Résumé : | This note proposes an improved eigenvalue-counting method based on the argument principle by introducing Rombouts’ algorithm, which is a stable, efficient, and accurate algorithm to calculate the coefficients of the characteristic polynomial of a general square matrix. In addition, this note comprehensively investigates the effectiveness of the proposed method from the viewpoint of the practical consideration by comparing with the modified Sturm sequence property-based counting method which has been recently developed and also known as the well-proven method. In this note, the operation counts in each method are carefully compared and numerically verified. According to analytical and numerical comparison, the argument principle-based counting method is much better than the modified Sturm sequence property-based method from a practical point of view, even if the latter method is much well-established one theoretically. |
| ISSN : | 0733-9399 |
| En ligne : | http://ascelibrary.org/doi/abs/10.1061/%28ASCE%290733-9399%282008%29134%3A10%28907%29 |
