21
Views
9
CrossRef citations to date
0
Altmetric
Original Articles

An extrapolation method for computing derivatives of eigensystems

Pages 63-73 | Received 21 May 1986, Published online: 19 Mar 2007

References

  • Andrew , A. L. 1973 . Eigenvectors of certain matrices . Linear Algebra Appl. , 7 : 151 – 162 .
  • Andrew , A. L. 1978 . Convergence of an iterative method for derivatives of eigen-systems . J. Comput. Phys. , 26 : 107 – 112 .
  • Andrew , A. L. 1979 . Iterative computation of derivatives of eigenvalues and eigen-vectors . J. Inst. Maths. Appl. , 24 : 209 – 218 .
  • Cardani , C. and Mantegazza , P. 1979 . Calculation of eigenvalue and eigenvector derivatives for algebraic flutter and divergence eigenproblems . AIAA J. , 17 : 408 – 412 .
  • Deutsch , E. and Neumann , M. 1985 . On the first and second order derivatives of the Perron vector . Linear Algebra Appl. , 71 : 57 – 76 .
  • Fairweather , G. 1971 . On the eigenvalues and eigenvectors of a class of Hessenberg matrices . SIAM Rev. , 13 : 220 – 221 .
  • Rudisill , C. S. and Chu , Y. Y. 1975 . Numerical methods for evaluating the derivatives of eigenvalues and eigenvectors . AIAA J. , 13 : 834 – 837 .
  • Schmit , L. A. and Chang , K. J. 1984 . Optimum design sensitivity based on approximation concepts and dual methods . Int. J. Num. Meth. Engng. , 20 : 39 – 75 .
  • Tan R. C. E. Devices for accelerating the convergence of an iterative method for derivatives of eigenvalues and eigenvectors La Trobe University, Mathematics Department 1986 86 88
  • Tan , R. C. E. 1986 . Accelerating the convergence of an iterative method for derivatives of eigensystems . J. Comput. Phys. , 67 : 230 – 235 .
  • Tan R. C. E. Computing derivatives of eigensystems by the vector ε-algorithm IMA J. Numer. Anal. (submitted).
  • Wilkinson , J. H. 1965 . The Algebraic Eigenvalue Problem , Oxford : Clarendon Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.