Alan L. Andrew

Personal Home Page

http://www.latrobe.edu.au/mathstats/staff/andrew.html

Articles in Scholarly Journals [Incomplete List]

  1. Computing Sturm–Liouville potentials from two spectra
    Inverse Problems, vol. 22, no. 6, pp. 2069–2081, 2006
  2. Numerov's method for inverse Sturm–Liouville problems
    Inverse Problems, vol. 21, no. 1, pp. 223–238, 2004
  3. Asymptotic Correction of More Sturm–Liouville Eigenvalue Estimates
    BIT Numerical Mathematics, vol. 43, no. 3, pp. 485–503, 2003
  4. Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
    Numerical Linear Algebra with Applications, vol. 7, no. 4, pp. 151–167, 2000
  5. Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
    Numerical Linear Algebra with Applications, vol. 7, no. 4, pp. 151–167, 2000
  6. Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions
    Journal of Computational and Applied Mathematics, vol. 125, no. 1-2, pp. 359–366, 2000
  7. Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration
    Communications in Numerical Methods in Engineering, vol. 15, no. 9, pp. 641–649, 1999
  8. Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Symmetric Matrix Pencils
    SIAM Journal on Matrix Analysis and Applications, vol. 20, no. 1, p. 78, 1998
  9. Classroom Note:Centrosymmetric Matrices
    SIAM Review, vol. 40, no. 3, p. 697, 1998
  10. Finite and continuous perturbations of matrix eigenvalues
    Applied Mathematics Letters, vol. 11, no. 1, pp. 47–51, 1998
  11. On the numerical solution of nonlinear eigenvalue problems
    Computing, vol. 55, no. 2, pp. 91–111, 1995
  12. Henrici's transformation and its application to the computation of derivatives of eigensystems
    Journal of Computational and Applied Mathematics, vol. 59, no. 1, pp. 1–8, 1995
  13. Iterative computation of second-order derivatives of eigenvalues and eigenvectors
    Communications in Numerical Methods in Engineering, vol. 10, no. 1, pp. 1–9, 1994
  14. Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
    SIAM Journal on Matrix Analysis and Applications, vol. 14, no. 4, p. 903, 1993
  15. Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter
    Applied Mathematics Letters, vol. 5, no. 3, pp. 69–72, 1992
  16. Eigenvalues and singular values of certain random matrices
    Journal of Computational and Applied Mathematics, vol. 30, no. 2, pp. 165–171, 1990
  17. Computing Derivatives of Eigenvalues and Elgenvectors by Simultaneous Iteration
    IMA Journal of Numerical Analysis, vol. 9, no. 1, pp. 111–122, 1989
  18. Correction of finite element eigenvalues for problems with natural or periodic boundary conditions
    BIT, vol. 28, no. 2, pp. 254–269, 1988
  19. The accuracy of Numerov's method for eigenvalues
    BIT, vol. 26, no. 2, pp. 251–253, 1986
  20. Correction of finite element estimates for Sturm-Liouville eigenvalues
    Numerische Mathematik, vol. 50, no. 2, pp. 205–215, 1986
  21. Correction of Numerov's eigenvalue estimates
    Numerische Mathematik, vol. 47, no. 2, pp. 289–300, 1985
  22. Further comments on "On the eigenvectors of symmetric Toeplitz matrices"
    IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 33, no. 4, pp. 1013–1013, 1985
  23. Bounds and higher-order estimates for Sturm-Liouville eigenvalues
    Journal of Mathematical Analysis and Applications, vol. 96, no. 2, pp. 388–394, 1983
  24. Leighton's bounds for Sturm-Liouville eigenvalues
    Journal of Mathematical Analysis and Applications, vol. 83, no. 1, pp. 11–19, 1981
  25. Variational solution of some nonlinear eigenvalue problems II
    Journal of Mathematical Analysis and Applications, vol. 33, no. 2, pp. 425–432, 1971
  26. Variational solution of some nonlinear eigenvalue problems. I
    Journal of Mathematical Analysis and Applications, vol. 32, no. 2, pp. 400–413, 1970
  27. Two Properties of Integers
    The Mathematical Gazette, vol. 48, no. 365, p. 285, 1964