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Research Output 2002 2017

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Article
2014
9 Citations (Scopus)

Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method

Freitag, M. A., Spence, A. & Van Dooren, P., 15 May 2014, In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 35, 2, p. 619-635 17 p.

Research output: Contribution to journalArticle

Open Access
File
Determinant
Norm
Linear Systems
Jordan Block
Hamiltonian Matrix
File
programming
mathematics
Teaching
computer scientist
student
4 Citations (Scopus)

The calculation of the distance to a nearby defective matrix

Akinola, R. O., Freitag, M. A. & Spence, A., May 2014, In : Numerical Linear Algebra with Applications. 21, 3, p. 403-414

Research output: Contribution to journalArticle

Numerical Linear Algebra
Linear algebra
Eigenvalue Decomposition
Fast Algorithm
Eigenvalue Problem
5 Citations (Scopus)

The computation of Jordan blocks in parameter-dependent matrices

Akinola, R. O., Freitag, M. A. & Spence, A., Jul 2014, In : IMA Journal of Numerical Analysis. 34, 3, p. 955-976 22 p.

Research output: Contribution to journalArticle

Open Access
File
Jordan Block
Flutter (aerodynamics)
Quantum theory
Aerodynamics
Dependent
2013
6 Citations (Scopus)

A new approach for calculating the real stability radius

Freitag, M. A. & Spence, A., 23 Nov 2013, In : BIT Numerical Mathematics. 54, 2, p. 381-400 20 p.

Research output: Contribution to journalArticle

Stability Radius
Hamiltonian Matrix
Hamiltonians
Singular Values
Jordan Block
2012

Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow

Elman, H. C., Meerbergen, K., Spence, A. & Wu, M., 2012, In : SIAM Journal on Scientific Computing. 34, 3, p. A1584-A1606 23 p.

Research output: Contribution to journalArticle

Open Access
File
Inverse Iteration
Lyapunov Equation
Hopf bifurcation
Incompressible flow
Fluid dynamics
2011
22 Citations (Scopus)

A Newton-based method for the calculation of the distance to instability

Freitag, M. A. & Spence, A., 15 Dec 2011, In : Linear Algebra and its Applications. 435, 12, p. 3189-3205 17 p.

Research output: Contribution to journalArticle

Open Access
Unstable
Bisection Method
Jordan Block
Computing
Hamiltonians
2010
19 Citations (Scopus)
Inverse Iteration
Large-scale Problems
Hopf Bifurcation
Eigenvalue
Guess
16 Citations (Scopus)
Arnoldi Method
Invert
Iterative Solver
Iteration
Preconditioner
2009
17 Citations (Scopus)

Inexact inverse subspace iteration with preconditioning applied to non-Hermitian eigenvalue problems

Robbé, M., Sadkane, M. & Spence, A., 2009, In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 31, 1, p. 92-113 22 p.

Research output: Contribution to journalArticle

File
Preconditioning
Eigenvalue Problem
Subspace
Iteration
Iterative Solver
2008
27 Citations (Scopus)
Inverse Iteration
Preconditioner
Eigenvalue Problem
MINRES
Spectral Properties
19 Citations (Scopus)
Open Access
File
Jacobi-Davidson Method
Rayleigh Quotient Iteration
Jacobi-Davidson
Preconditioner
Galerkin
2007
25 Citations (Scopus)

Convergence of inexact inverse iteration with application to preconditioned iterative solves

Freitag, MA. & Spence, A., Mar 2007, In : BIT Numerical Mathematics. 47, 1, p. 27-44 18 p.

Research output: Contribution to journalArticle

Open Access
File
Inverse Iteration
Newton-Raphson method
Linear systems
Preconditioner
Modified Newton Method
17 Citations (Scopus)
Open Access
File
Inverse Iteration
Convergence Theory
Eigenproblem
Jacobi-Davidson
Generalized Eigenproblem

Is the transcript from the overlapping region of two converging genes part of either gene?

Spence, A., 2007, In : BMC Systems Biology. 1, Suppl, p. 11-

Research output: Contribution to journalArticle

File
2006
4 Citations (Scopus)

Analysis of box schemes for reactive flow problems

Mitchell, SL., Morton, KW. & Spence, A., Jan 2006, In : SIAM Journal on Scientific Computing. 27, 4, p. 1202-1225 24 p.

Research output: Contribution to journalArticle

File
Box Scheme
Conservation
Modified Equations
Unconditional Stability
Hyperbolic Conservation Laws
32 Citations (Scopus)

Inexact inverse iteration for symmetric matrices

Berns-Müller, J., Graham, I. G. & Spence, A., 15 Jul 2006, In : Linear Algebra and its Applications. 416, 2-3, p. 389-413 25 p.

Research output: Contribution to journalArticle

File
Inverse Iteration
Iterative methods
Symmetric matrix
Linear systems
Rayleigh quotient
16 Citations (Scopus)

Inexact inverse iteration with variable shift for nonsymmetric generalised Eigenvalue problems

Berns-Miller, J. & Spence, A., Dec 2006, In : SIAM Journal on Matrix Analysis and Applications. 28, 4, p. 1069-1082 14 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Shift for nonsymmetric generalised eigenvalue problems

Berns-Muller, J. & Spence, A., Dec 2006, In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 28, 4, p. 1069-1082 14 p.

Research output: Contribution to journalArticle

File
Generalized Eigenvalue Problem
Inverse Iteration
Preconditioned Iterative Methods
Rayleigh quotient
Positive definite
2005
27 Citations (Scopus)

Photonic band structure calculations using nonlinear eigenvalue techniques

Spence, A. & Poulton, C., Mar 2005, In : Journal of Computational Physics. 204, 1, p. 65-81 17 p.

Research output: Contribution to journalArticle

File
Band structure
Photonics
eigenvalues
photonics
linear systems
2003
4 Citations (Scopus)

Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation

Graham, I. G., Spence, A. & Vainikko, E., Sep 2003, In : Concurrency and Computation-Practice & Experience. 15, 11-12, p. 1151-1168 18 p.

Research output: Contribution to journalArticle

Parallel Iterative Methods
Eigenvalue Computation
Iterative methods
Navier Stokes equations
Navier-Stokes Equations