Alan L. Andrew
Personal Home Page
http://www.latrobe.edu.au/mathstats/staff/andrew.html
Articles in Scholarly Journals [Incomplete List]
- Computing Sturm–Liouville potentials from two spectra
Inverse Problems, vol. 22, no. 6, pp. 2069–2081, 2006 - Numerov's method for inverse Sturm–Liouville problems
Inverse Problems, vol. 21, no. 1, pp. 223–238, 2004 - Asymptotic Correction of More Sturm–Liouville Eigenvalue Estimates
BIT Numerical Mathematics, vol. 43, no. 3, pp. 485–503, 2003 - Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
Numerical Linear Algebra with Applications, vol. 7, no. 4, pp. 151–167, 2000 - Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
Numerical Linear Algebra with Applications, vol. 7, no. 4, pp. 151–167, 2000 - 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 - 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 - 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 - Classroom Note:Centrosymmetric Matrices
SIAM Review, vol. 40, no. 3, p. 697, 1998 - Finite and continuous perturbations of matrix eigenvalues
Applied Mathematics Letters, vol. 11, no. 1, pp. 47–51, 1998 - On the numerical solution of nonlinear eigenvalue problems
Computing, vol. 55, no. 2, pp. 91–111, 1995 - 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 - Iterative computation of second-order derivatives of eigenvalues and eigenvectors
Communications in Numerical Methods in Engineering, vol. 10, no. 1, pp. 1–9, 1994 - Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
SIAM Journal on Matrix Analysis and Applications, vol. 14, no. 4, p. 903, 1993 - Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter
Applied Mathematics Letters, vol. 5, no. 3, pp. 69–72, 1992 - Eigenvalues and singular values of certain random matrices
Journal of Computational and Applied Mathematics, vol. 30, no. 2, pp. 165–171, 1990 - Computing Derivatives of Eigenvalues and Elgenvectors by Simultaneous Iteration
IMA Journal of Numerical Analysis, vol. 9, no. 1, pp. 111–122, 1989 - Correction of finite element eigenvalues for problems with natural or periodic boundary conditions
BIT, vol. 28, no. 2, pp. 254–269, 1988 - The accuracy of Numerov's method for eigenvalues
BIT, vol. 26, no. 2, pp. 251–253, 1986 - Correction of finite element estimates for Sturm-Liouville eigenvalues
Numerische Mathematik, vol. 50, no. 2, pp. 205–215, 1986 - Correction of Numerov's eigenvalue estimates
Numerische Mathematik, vol. 47, no. 2, pp. 289–300, 1985 - 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 - Bounds and higher-order estimates for Sturm-Liouville eigenvalues
Journal of Mathematical Analysis and Applications, vol. 96, no. 2, pp. 388–394, 1983 - Leighton's bounds for Sturm-Liouville eigenvalues
Journal of Mathematical Analysis and Applications, vol. 83, no. 1, pp. 11–19, 1981 - Variational solution of some nonlinear eigenvalue problems II
Journal of Mathematical Analysis and Applications, vol. 33, no. 2, pp. 425–432, 1971 - Variational solution of some nonlinear eigenvalue problems. I
Journal of Mathematical Analysis and Applications, vol. 32, no. 2, pp. 400–413, 1970 - Two Properties of Integers
The Mathematical Gazette, vol. 48, no. 365, p. 285, 1964