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Improvement of the eigenvalue-counting method based on the argument principle / Hyung-Jo Jung in Journal of engineering mechanics, Vol. 134 N°10 (Octobre 2008) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 134 N°10 (Octobre 2008) . - pp.907–912. Titre : Improvement of the eigenvalue-counting method based on the argument principle Type de document : texte imprimé Auteurs : Hyung-Jo Jung, Auteur ; Ji-Seong Jo, Auteur ; Byoung-Wan Kim, Auteur Année de publication : 2008 Article en page(s) : pp.907–912. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : 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%289 [...] [article] Improvement of the eigenvalue-counting method based on the argument principle [texte imprimé] / Hyung-Jo Jung, Auteur ; Ji-Seong Jo, Auteur ; Byoung-Wan Kim, Auteur . - 2008 . - pp.907–912. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 134 N°10 (Octobre 2008) . - pp.907–912. Mots-clés : 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%289 [...]