The computation of Jordan blocks in parameter-dependent matrices

Richard O Akinola, Melina A Freitag, Alistair Spence

Research output: Contribution to journalArticle

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Abstract

This paper extends the implicit determinant method introduced by Spence & Poulton (2005, J. Comput. Phys., 204, 65–81) to obtain a numerical technique for the calculation of a two-dimensional Jordan block in a parameter-dependent matrix. An important feature of this technique is that the theory is straightforward to understand and an efficient numerical implementation is suggested naturally by the theory. Three interesting physical problems are presented, arising from the panel flutter problem in aerodynamics, the stability of electrical power systems and a problem in quantum mechanics.
Original languageEnglish
Pages (from-to)955-976
Number of pages22
JournalIMA Journal of Numerical Analysis
Volume34
Issue number3
Early online date24 Sep 2013
DOIs
Publication statusPublished - Jul 2014

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Jordan Block
Flutter (aerodynamics)
Quantum theory
Aerodynamics
Dependent
Flutter
Numerical Techniques
Power System
Quantum Mechanics
Determinant

Cite this

The computation of Jordan blocks in parameter-dependent matrices. / Akinola, Richard O; Freitag, Melina A; Spence, Alistair.

In: IMA Journal of Numerical Analysis, Vol. 34, No. 3, 07.2014, p. 955-976.

Research output: Contribution to journalArticle

Akinola, Richard O ; Freitag, Melina A ; Spence, Alistair. / The computation of Jordan blocks in parameter-dependent matrices. In: IMA Journal of Numerical Analysis. 2014 ; Vol. 34, No. 3. pp. 955-976.
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