If you made any changes in Pure these will be visible here soon.

Research Output

2017
Open Access
File
100 Downloads (Pure)
2014

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

Freitag, M. A., Spence, A. & Van Dooren, P., 31 Dec 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
10 Citations (Scopus)
123 Downloads (Pure)
File
137 Downloads (Pure)

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

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
7 Citations (Scopus)
126 Downloads (Pure)
2013

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

7 Citations (Scopus)
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
126 Downloads (Pure)

Lyapunov inverse iteration for stability analysis using computational fluid dynamics

Timme, S., Badcock, K. J., Wu, M. & Spence, A., 2012.

Research output: Contribution to conferencePaper

2 Citations (Scopus)
2011

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
26 Citations (Scopus)
2010
19 Citations (Scopus)

Shift-invert Arnoldi's method with preconditioned iterative solves

Freitag, M. A. & Spence, A., 2010, In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 31, 3, p. 942-969 28 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)
2009

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
19 Citations (Scopus)
120 Downloads (Pure)

The calculation of the distance to instability by the computation of a Jordan block

Freitag, M. & Spence, A., 11 Aug 2009, Linear and Nonlinear Eigenproblems for PDEs. Zurich: European Mathematical Society, p. 274-275 (Oberwolfach Reports; vol. 37/2009).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2008

A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems

Freitag, M. A. & Spence, A., 2008, In : IMA Journal of Numerical Analysis. 28, 3, p. 522-551 30 p.

Research output: Contribution to journalArticle

30 Citations (Scopus)

Rayleigh quotient iteration and simplified Jacobi-Davidson method with preconditioned iterative solves

Freitag, M. A. & Spence, A., 15 Apr 2008, In : Linear Algebra and its Applications. 428, 8-9, p. 2049-2060 12 p.

Research output: Contribution to journalArticle

Open Access
File
24 Citations (Scopus)
117 Downloads (Pure)
2007

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
26 Citations (Scopus)
90 Downloads (Pure)
Open Access
File
18 Citations (Scopus)
33 Downloads (Pure)

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
75 Downloads (Pure)
2006

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
4 Citations (Scopus)
83 Downloads (Pure)

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
36 Citations (Scopus)
91 Downloads (Pure)

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

18 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
18 Citations (Scopus)
55 Downloads (Pure)
2005

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
32 Citations (Scopus)
99 Downloads (Pure)
2003

Inverse Iteration for Nonlinear Eigenvalue Problems in Electromagnetic Scattering

Spence, A., Poulton, C. G. & Movchan, A. B. (ed.), Dec 2003.

Research output: Contribution to conferencePaper

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

4 Citations (Scopus)
2002

Eigenvalue and Parameter Estimation at Hopf Bifurcation

Spence, A., Estep, D. (ed.) & Tavener, S. J. (ed.), 2002.

Research output: Contribution to conferencePaper

Parallel iterative methods for Navier-Stokes equations and application to stability assessment

Graham, I. G., Spence, A. & Vainikko, E., 2002, Euro-Par 2002 Parallel Processing, Proceedings. Vol. 2400. p. 705-714 10 p. (Lecture Notes in Computer Science).

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)