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Original Articles

Direct computation of derivatives of eigenvalues and eigenvectors

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Pages 251-255 | Received 02 Mar 1990, Published online: 20 Mar 2007

References

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  • Andrew , A.L. 1990 . “ Choosing test matrices for numerical software ” . In in: Computational Techniques and Applications: CTAC-89 , Edited by: Hogarth , W. and Noye , J . 561 – 567 . Hemisphere .
  • Chu K-W. E. Dassow J. On multiple eigenvalues of matrices depending on several parameters SI AM J. Numer. Anal to appear
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  • Murthy , D.V. and Haftka , R.T. 1988 . Derivatives of eigenvalues and eigenvectors of a general complex Matrix . Internat. J. Numer. Meth. Engng , 26 : 293 – 311 .
  • Rudisill , C.S. and Chu , Y.Y. 1975 . Numerical methods for evaluating the derivatives of eigenvalues and eigenvectors . AIAA J , 13 : 834 – 837 .
  • Tan , R.C.E. 1987 . An extrapolation method for computing derivatives of eigensystems . Internat. J.Computer Math , 22 : 63 – 73 .
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  • Tan , R.C.E. and Andrew , A.L . 1989 . Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration . IMA J. Numer. Anal , 9 : 111 – 122 .

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