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Methods for solving underdetermined systems

Numerical Linear Algebra with Applications
2018-01 | Journal article
Contributors: Jiang Qian; Alan L. Andrew; Delin Chu; Roger C. E. Tan
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Crossref

Solving inverse Sturm-Liouville problems: theory and practice

ANZIAM Journal
2017 | Journal article
Source: Self-asserted source
Alan L Andrew

Computing derivatives of repeated eigenvalues and corresponding eigenvectors of quadratic eigenvalue problems

SIAM J. Matrix Anal. Appl.
2013 | Journal article
Source: Self-asserted source
Alan L Andrew

Finite difference methods for half inverse Sturm-Liouville problems

Appl. Math. Comput.
2011 | Journal article
Source: Self-asserted source
Alan L Andrew

Inverse Sturm-Liouville problems: some recent developments

ANZIAM J. Electron. Suppl.
2010 | Journal article
Source: Self-asserted source
Alan L Andrew

Acceleration of inexact inverse iteration for eigenvalue problems

ANZIAM J.
2008 | Journal article
Source: Self-asserted source
Alan L Andrew

Computing Sturm-Liouville potentials from two spectra

Inverse Problems
2006 | Journal article
Source: Self-asserted source
Alan L Andrew

Numerov's method for inverse Sturm-Liouville problems

Inverse Problems
2005 | Journal article
Source: Self-asserted source
Alan L Andrew

Asymptotic correction of more Sturm-Liouville eigenvalue estimates

Source: Self-asserted source
Alan L Andrew

Asymptotic correction of Numerov's eigenvalue estimates with general boundary conditions

ANZIAM J.
2002 | Journal article
Source: Self-asserted source
Alan L Andrew

Iterative computation of higher derivatives of repeated eigenvalues and the corresponding eigenvectors

Linear operators and matrices
2002 | Book chapter
Source: Self-asserted source
Alan L Andrew

Asymptotic correction of Numerov's eigenvalue estimates with natural boundary conditions

J. Comput. Appl. Math.
2000 | Journal article
Source: Self-asserted source
Alan L Andrew

Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors

Numer. Linear Algebra Appl.
2000 | Journal article
Source: Self-asserted source
Alan L Andrew

Quadrature errors in finite element eigenvalue computations

ANZIAM J.
2000 | Journal article
Source: Self-asserted source
Alan L Andrew

Computation of derivatives of repeated eigenvalues and the corresponding eigenvectors of symmetric matrix pencils

SIAM J. Matrix Anal. Appl.
1999 | Journal article
Source: Self-asserted source
Alan L Andrew

Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration

Comm. Numer. Methods Engrg.
1999 | Journal article
Source: Self-asserted source
Alan L Andrew

Centrosymmetric matrices

SIAM Rev.
1998 | Journal article
Source: Self-asserted source
Alan L Andrew

Computation of derivatives of eigenvalues and eigenvectors of parameter-dependent matrices

Computational techniques and applications: CTAC97 (Adelaide)
1998 | Book chapter
Source: Self-asserted source
Alan L Andrew

Computing derivatives of eigenvectors corresponding to multiple eigenvalues of nonsymmetric matrix functions

Proceedings of the Eighth International Colloquium on Differential Equations (Plovdiv, 1997)
1998 | Conference paper
Source: Self-asserted source
Alan L Andrew

Finite and continuous perturbations of matrix eigenvalues

Appl. Math. Lett.
1998 | Journal article
Source: Self-asserted source
Alan L Andrew

Solution of nonlinear and multiparameter eigenvalue problems

Computational techniques and applications: CTAC95 (Melbourne, 1995)
1996 | Book chapter
Source: Self-asserted source
Alan L Andrew

Henrici's transformation and its application to the computation of derivatives of eigensystems

J. Comput. Appl. Math.
1995 | Journal article
Source: Self-asserted source
Alan L Andrew

On the numerical solution of nonlinear eigenvalue problems

Computing
1995 | Journal article
Source: Self-asserted source
Alan L Andrew

Asymptotic correction of computed eigenvalues of differential equations

Ann. Numer. Math.
1994 | Journal article
Source: Self-asserted source
Alan L Andrew

Iterative computation of second-order derivatives of eigenvalues and eigenvectors

Comm. Numer. Methods Engrg.
1994 | Journal article
Source: Self-asserted source
Alan L Andrew

Derivatives of eigenvalues and eigenvectors of matrix functions

SIAM J. Matrix Anal. Appl.
1993 | Journal article
Source: Self-asserted source
Alan L Andrew

Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter

Appl. Math. Lett.
1992 | Journal article
Source: Self-asserted source
Alan L Andrew

Choosing test matrices for numerical software

Computational techniques and applications: CTAC-89 (Brisbane, 1989)
1990 | Book chapter
Source: Self-asserted source
Alan L Andrew

Eigenvalues and singular values of certain random matrices

J. Comput. Appl. Math.
1990 | Journal article
Source: Self-asserted source
Alan L Andrew

Computing derivatives of eigenvalues and eigenvectors by simultaneous iteration

IMA J. Numer. Anal.
1989 | Journal article
Source: Self-asserted source
Alan L Andrew

Correction of finite difference eigenvalues of periodic Sturm-Liouville problems

J. Austral. Math. Soc. Ser. B
1989 | Journal article
Source: Self-asserted source
Alan L Andrew

Correction of finite element eigenvalues for problems with natural or periodic boundary conditions

BIT
1988 | Journal article
Source: Self-asserted source
Alan L Andrew

Efficient computation of higher Sturm-Liouville eigenvalues

Numerical mathematics, Singapore 1988
1988 | Book chapter
Source: Self-asserted source
Alan L Andrew

Some recent developments in finite element eigenvalue computation

Computational techniques and applications: CTAC-87 (Sydney, 1987)
1988 | Book chapter
Source: Self-asserted source
Alan L Andrew

Asymptotic correction of finite difference eigenvalues

Computational techniques and applications: CTAC-85 (Melbourne, 1985)
1986 | Book chapter
Source: Self-asserted source
Alan L Andrew

Correction of finite element estimates for Sturm-Liouville eigenvalues

Numer. Math.
1986 | Journal article
Source: Self-asserted source
Alan L Andrew

The accuracy of Numerov's method for eigenvalues

BIT
1986 | Journal article
Source: Self-asserted source
Alan L Andrew

Correction of Numerov's eigenvalue estimates

Numer. Math.
1985 | Journal article
Source: Self-asserted source
Alan L Andrew

Further comments on: ``On the eigenvectors of symmetric Toeplitz matrices'' [IEEE Trans. Acoust. Speech Signal Process. \bf 29 (1981), no. 4, 868--872; MR0623193 (82m:94012)] by John Makhoul

IEEE Trans. Acoust. Speech Signal Process.
1985 | Journal article
Source: Self-asserted source
Alan L Andrew

Numerical solution of eigenvalue problems for ordinary differential equations

Computational techniques and applications: CTAC-83 (Sydney, 1983)
1984 | Book chapter
Source: Self-asserted source
Alan L Andrew

Bounds and higher-order estimates for Sturm-Liouville eigenvalues

J. Math. Anal. Appl.
1983 | Journal article
Source: Self-asserted source
Alan L Andrew

Computation of higher Sturm-Liouville eigenvalues

Congr. Numer.
1982 | Journal article
Source: Self-asserted source
Alan L Andrew

Leighton's bounds for Sturm-Liouville eigenvalues

J. Math. Anal. Appl.
1981 | Journal article
Source: Self-asserted source
Alan L Andrew

Iterative computation of derivatives of eigenvalues and eigenvectors

J. Inst. Math. Appl.
1979 | Journal article
Source: Self-asserted source
Alan L Andrew

Convergence of an iterative method for derivatives of eigensystems

J. Computational Phys.
1978 | Journal article
Source: Self-asserted source
Alan L Andrew

Existence and uniqueness regions for solutions of nonlinear equations

Bull. Austral. Math. Soc.
1978 | Journal article
Source: Self-asserted source
Alan L Andrew

On mixed partial derivatives

Austral. Math. Soc. Gaz.
1977 | Journal article
Source: Self-asserted source
Alan L Andrew

Error bounds for the modified Newton's method

Bull. Austral. Math. Soc.
1976 | Journal article
Source: Self-asserted source
Alan L Andrew

Eigenvectors of certain matrices

Linear Algebra and Appl.
1973 | Journal article
Source: Self-asserted source
Alan L Andrew

Computation of eigenvectors corresponding to multiple eigenvalues

Bull. Austral. Math. Soc.
1971 | Journal article
Source: Self-asserted source
Alan L Andrew
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