7. Eigensolution Procedures

  1. Debasish Roy1 and
  2. G Visweswara Rao2

Published Online: 3 SEP 2012

DOI: 10.1002/9781118360989.ch7

Elements of Structural Dynamics: A New Perspective

Elements of Structural Dynamics: A New Perspective

How to Cite

Roy, D. and Rao, G. V. (2012) Eigensolution Procedures, in Elements of Structural Dynamics: A New Perspective, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781118360989.ch7

Author Information

  1. 1

    Indian Institute of Science, Bangalore, India

  2. 2

    Bangalore, India

Publication History

  1. Published Online: 3 SEP 2012
  2. Published Print: 14 AUG 2012

ISBN Information

Print ISBN: 9781118339626

Online ISBN: 9781118360989

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Keywords:

  • eigensolution procedures;
  • power and inverse iteration methods/eigensolutions;
  • order and rate of convergence, distinct eigenvalues;
  • shifting and convergence;
  • multiple eigenvalues;
  • Jacobi, Householder, QR transformation methods/eigensolutions;
  • subspace iteration;
  • Lanczos transformation method;
  • systems with unsymmetric matrices;
  • dynamic condensation and eigensolution

Summary

This chapter contains sections titled:

  • Introduction

  • Power and Inverse Iteration Methods and Eigensolutions

  • Jacobi, Householder, QR Transformation Methods and Eigensolutions

  • Subspace Iteration

  • Lanczos Transformation Method

  • Systems with Unsymmetric Matrices

  • Dynamic Condensation and Eigensolution

  • Conclusions

  • Exercises

  • Notations

  • References

  • Bibliography