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Extrapolation methods and iterative computation of derivatives of eigensystems

Published online by Cambridge University Press:  17 April 2009

Roger C.E. Tan
Roger C.E. Tan
Affiliation:
Department of MathematicsNational University of Singapore10 Kent Ridge CrescentSingapore 0511
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 39 , Issue 3 , June 1989 , pp. 477 - 478
Copyright
Copyright © Australian Mathematical Society 1989

References

[1] Andrew, A.L., ‘Convergence of an iterative method for derivatives of eigensystems’, J. Comput. Phys. 26 (1978), 107–112.CrossRefGoogle Scholar
[2] Andrew, A.L., ‘Iterative computation of derivatives of eigenvalues and eigenvectors’, J. Inst. Math. Appl. 24 (1979), 209–218.CrossRefGoogle Scholar
[3] Brezinski, C., ‘Généralizations de la transformation de Shanks, de la table de Padé, et de l'ε-algorithme’, Calcolo 12 (1975), 317–360.CrossRefGoogle Scholar
[4] Rudisill, C.S. and Chu, Y.Y., ‘Numerical methods for evaluating the derivatives of eigenvalues and eigenvectors’, AIAA J. 13 (1975), 834–837.CrossRefGoogle Scholar
[5] Smith, D.A., Ford, W.F. and Sidi, A., ‘Extrapolation methods for vector sequences’, SIAM Rev. 29 (1987), 199–233.CrossRefGoogle Scholar
[6] Tan, R.C.E., ‘Accelerating the convergence of an iterative method for derivatives of eigensystems’, J. Comput. Phys. 67 (1986), 230–235.CrossRefGoogle Scholar
[7] Tan, R.C.E., ‘An extrapolation method for computing derivatives of eigensystems’, Internat. J. Comput. Math. 22 (1987), 63–73.CrossRefGoogle Scholar
[8] Tan, R.C.E., ‘Computing derivatives of eigensystems by the topological ε-algorithm’, App. Numer. Math 3 (1987), 539–550.CrossRefGoogle Scholar
[9] Tan, R.C.E., ‘Computing derivatives of eigensystems by the vector ε-algorithm’, IMA J. Numer. Anal. 7 (1987), 485–494.CrossRefGoogle Scholar
[10] Tan, R.C.E., ‘Implementation of the topological ε-algorithm’, SIAM J. Sci. Statist. Comput. 9 (1988), 839–848.CrossRefGoogle Scholar
[11] Tan, R.C.E. and Andrew, A.L., ‘Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration’, IMA J. Numer. Anal. (1989) (to appear).CrossRefGoogle Scholar
[12] Tan, R.C.E., ‘Some acceleration methods for iterative computation of derivatives of eigenvalues and eigenvectors’, Internat. I. Numer. Methods Engrg (1989) (to appear).CrossRefGoogle Scholar