Title
Rational approximations of pre-filtered transfer functions via the Lanczos algorithm
Abstract
this paper trivially extends to the complexcase. As described in the introduction, we are interested in approximating thistransfer function by another one of lower degree and such that both match intheir first 2k terms (called moments) of an expansion around s = #. Since prefilteringamounts to pre-multiplying a transfer function, the following lemma willbe useful.Lemma 1 (see [11] for a proof)Let {A i , B i , C i , D i } for i = 1, 2 be realizations of transfer functions R i (s) then a...
Year
DOI
Venue
1999
10.1023/A:1019168220795
Numerical Algorithms
Keywords
Field
DocType
Lanczos algorithm,Padé approximation,filtering,65F15,65G05
Tridiagonal matrix,Mathematical optimization,Lanczos approximation,Lanczos resampling,Padé approximant,Proper transfer function,Mathematical analysis,Approximations of π,Lanczos algorithm,Transfer function,Mathematics
Journal
Volume
Issue
ISSN
20
4
1572-9265
Citations 
PageRank 
References 
3
0.51
5
Authors
2
Name
Order
Citations
PageRank
Kyle Gallivan1889154.22
Paul van Dooren264990.48