Pad E Approximation of Large-scale Dynamic Systems with Lanczos Methods

  title={Pad E Approximation of Large-scale Dynamic Systems with Lanczos Methods},
  author={E. J. Grimme and Paul Van DoorenCoordinated},
The utility of Lanczos methods for the approximation of large-scale dynamical systems is considered. In particular , it is shown that the Lanczos method is a technique for yielding Pad e approximants which has several advantages over more traditional explicit moment matching approaches. An extension of the Lanczos algorithm is developed for computing multi-point Pad e approximations of descriptor systems. 

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Showing 1-10 of 26 references

E cient linear cir- cuit analysis by Pad e approximation via the Lanczos process,

P. Feldman, R. W. Freund
Technical Report, AT&T Bell Laboratories, • 1994
View 1 Excerpt

Gutknecht, \A completed theory of the unsym- metric Lanczos processes and related algorithms: part II,

M H.
SIAM J. Matrix Anal. Appl., • 1994
View 1 Excerpt

Kasenally, \Oblique pro- jection methods for large scale model reduction,

E.M.I.M. Jaimoukha
SIAM J. Matrix Anal. Appl., • 1994
View 1 Excerpt

Multi- point Pad e approximation of large-scale systems via a two-sided rational Krylov algorithm,

K. Gallivan, E. Grimme, P. Van Dooren
Techical Report, • 1994
View 1 Excerpt

The rational Krylov algorithm for nonsym- metric eigenvalue problems, III: Complex shifts for real matrices,

A. Ruhe
BIT, vol • 1994
View 1 Excerpt

Fre- quency response computation via rational interpola- tion,

C. Kenney, A. J. Laub, S. Stubberud
IEEE Trans. Automatic Control, vol. AC-38, • 1993

Lanczos , \ An iteration method for the solution ofthe eigenvalue problem of linear di erential and integral operators


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