Improvement of the Eigenvalue-Counting Method Based on the Argument Principle

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 comparison 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.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/07339399
• Supplemental Notes:
  • Abstract reprinted with permission from ASCE
• Authors:
  • Jung, Hyung-Jo
  • Jo, Ji-Seong
  • Kim, Byoung-Wan
  • Lee, In-Won
• Publication Date: 2008-10

Language

• English

Media Info

• Media Type: Print
• Features: Figures; References; Tables;
• Pagination: pp 907-912
• Serial:
  • Journal of Engineering Mechanics
  • Volume: 134
  • Issue Number: 10
  • Publisher: American Society of Civil Engineers
  • ISSN: 0733-9399
  • EISSN: 1943-7889
  • Serial URL: http://ascelibrary.org/journal/jenmdt

Subject/Index Terms

• TRT Terms: Algorithms; Damping (Physics); Eigenvalues; Structural analysis; Vibration; Vibration control
• Subject Areas: Bridges and other structures; Design; Highways; I24: Design of Bridges and Retaining Walls;

Filing Info

• Accession Number: 01113157
• Record Type: Publication
• Files: TRIS
• Created Date: Oct 21 2008 8:49AM