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Conference on Applications of Numerical Analysis pp 297–309Cite as

The development and application of simultaneous iteration for eigenvalue problems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 228))

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References

  1. S. H. Crandall. "Engineering Analysis, A Survey of Numerical Procedures". McGraw-Hill. New York and London, (1956).

    MATH  Google Scholar 

  2. W. J. Duncan and A. R. Collar. Matrices applied to the motions of damped systems. Philos. Mag. Ser. 7, 19 (1935), 197–219.

    Article  MATH  Google Scholar 

  3. A. Jennings. A direct iteration method of obtaining latent roots and vectors of a symmetric matrix. Proc. Camb. Phil. Soc., 63 (1967), 755–765.

    Article  MathSciNet  MATH  Google Scholar 

  4. M. Clint and A. Jennings. The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration. Comp. J., 13 (1970), 76–80.

    Article  MathSciNet  MATH  Google Scholar 

  5. H. Rutishauser. Computational aspects of F. L. Bauer's simultaneous iteration method. Num. Math., 13 (1969), 4–13.

    Article  MATH  Google Scholar 

  6. H. Rutishauser. Simultaneous iteration method for symmetric matrices. Num. Math., 16 (1970), 205–223.

    Article  MathSciNet  MATH  Google Scholar 

  7. A. Jennings and D. R. L. Orr. Application of the simultaneous iteration method to undamped vibration problems. Int. J. for Num. Meth. in Engng., 3 (1971). 13–24.

    Article  MATH  Google Scholar 

  8. O. E. Brőnlund. "Eigenvalues of Large Matrices". Symp. Finite Elem. Techn., Institut fűr Statik und Dynamik der Luft-und Raumfahrtkonstruktionen, University of Stuttgart (1969).

    Google Scholar 

  9. I. U. Ojalvo and M. Newman. Vibration modes of large structures by an automatic matrix-reduction method. AIAA Journal, 8 (1970), 1234–1239.

    Article  MATH  Google Scholar 

  10. G. Peters and J. H. Wilkinson. Eigenvalues of Ax=λBx with band symmetric A and B. Comp. J., 12 (1969), 398–404.

    Article  MathSciNet  MATH  Google Scholar 

  11. K. K. Gupta. Vibration of frames and other structures with banded stiffness matrix. Int. J. for Num. Meth. in Engng., 2 (1970), 221–228.

    Article  MATH  Google Scholar 

  12. M. Clint and A. Jennings. A simultaneous iteration method for the unsymmetric eigenvalue problem. J.I.M.A. to be published.

    Google Scholar 

  13. M. Clint. The Eigensolution of Unsymmetric Matrices by Simultaneous Iteration. Doctoral Dissertation, Queen's University, Belfast (1970).

    Google Scholar 

  14. G. Strachey. Some matrix problems arising from the consideration of flutter in aircraft, ARC Report Comp. 107a 0.1296a (1956).

    Google Scholar 

  15. J. R. Richardson. A more realistic method for routine flutter calculations. AIAA Symposium of Structural Dynamics and Aeroelasticity (1965).

    Google Scholar 

  16. A. J. Lawrence and P. Jackson. Comparison of Different Methods of Assessing the Free Oscillitary Characteristics of Aeroelastic Systems. ARC Report CP. 1084 (1970).

    Google Scholar 

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Authors
  1. A. Jennings
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John Ll. Morris

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© 1971 Springer-Verlag

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Jennings, A. (1971). The development and application of simultaneous iteration for eigenvalue problems. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069464

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  • DOI: https://doi.org/10.1007/BFb0069464

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05656-0

  • Online ISBN: 978-3-540-36976-9

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