Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1267-1274 |
| Number of pages | 8 |
| Journal | International Journal of Systems Science |
| Volume | 20 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1989 |
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New results on relationships between multipoint Padé approximation and stability preserving methods in model reduction. / Lucas, T. Nigel.
In: International Journal of Systems Science, Vol. 20, No. 7, 1989, p. 1267-1274.Research output: Contribution to journal › Article
TY - JOUR
T1 - New results on relationships between multipoint Padé approximation and stability preserving methods in model reduction
AU - Lucas,T. Nigel
PY - 1989
Y1 - 1989
N2 - Three well-known stability preserving methods of reduction are shown to be special forms of the multipoint pade approximation. Two of the methods—the modified forms of the Schwarz approximation and the stability equation method—are consequently shown to be closely related. Previously observed properties of the methods are explained by treating them as multipoint approximants, and the significance of using expansion points on the imaginary axis is shown to be central to stability preservation.
AB - Three well-known stability preserving methods of reduction are shown to be special forms of the multipoint pade approximation. Two of the methods—the modified forms of the Schwarz approximation and the stability equation method—are consequently shown to be closely related. Previously observed properties of the methods are explained by treating them as multipoint approximants, and the significance of using expansion points on the imaginary axis is shown to be central to stability preservation.
U2 - 10.1080/00207728908910211
DO - 10.1080/00207728908910211
M3 - Article
VL - 20
SP - 1267
EP - 1274
JO - International Journal of Systems Science
T2 - International Journal of Systems Science
JF - International Journal of Systems Science
SN - 0020-7721
IS - 7
ER -