TY - JOUR
T1 - The computation of Jordan blocks in parameter-dependent matrices
AU - Akinola, Richard O
AU - Freitag, Melina A
AU - Spence, Alistair
PY - 2014/7
Y1 - 2014/7
N2 - 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.
AB - 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.
UR - http://dx.doi.org/10.1093/imanum/drt028
UR - https://www.scopus.com/pages/publications/84902829219
U2 - 10.1093/imanum/drt028
DO - 10.1093/imanum/drt028
M3 - Article
SN - 0272-4979
VL - 34
SP - 955
EP - 976
JO - IMA Journal of Numerical Analysis
JF - IMA Journal of Numerical Analysis
IS - 3
ER -