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A Rational Lanczos Algorithm for Model Reduction II:  (Make Corrections)  
Interpolation Point Selection E. Grimme and K. Gallivan Coordinated Science...



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Abstract: In part I of this work [10], a rational Lanczos algorithm was developed which led to rational interpolants of dynamical systems. In this sequel, the important implementational issue of interpolation point selection is analyzed in detail. A residual expression is derived for the rational Lanczos algorithm and is used to govern the placement and type of the interpolation points. Algorithms are developed and applied to a problem arising from circuit interconnect modeling. (Update)

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@misc{ selection-rational,
  author = "Interpolation Point Selection",
  title = "A Rational Lanczos Algorithm for Model Reduction II:",
  url = "citeseer.ist.psu.edu/762250.html" }
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102   Feedback Control of Dynamic Systems (context) - Franklin, Powell et al. - 1991
70   The rational Krylov algorithm for nonsymmetric eigenvalue pr.. - Ruhe - 1994
63   Feedback Control Theory - Doyle, Francis et al. - 1992
38   Asymptotic waveform evaluation via a Lanczos method - Gallivan, Grimme et al. - 1994
20   Awe-inspired (context) - Raghavan, Rohrer et al. - 1993
15   Asymptotic Waveform Evaluation and Moment Matching for Inter.. (context) - Chiprout, Nakhla - 1994
8   A rational Lanczos method for model reduction (context) - Gallivan, Grimme et al. - 1996
8   Model Reduction Techniques with Applications in Electrical E.. (context) - Fortuna, Nunnari et al. - 1992
6   A multi-point continued fraction expansion for linear system.. (context) - Hwang, Chen - 1986
6   Rational interpolation and state space variable realizations (context) - Anderson, Antoulas - 1990
5   Linear system reduction using Pad'e approximation to allow r.. (context) - Shamash - 1975
4   Efficient linear circuit analyis by Pad'e approximation via .. (context) - Feldman, Freund - 1995
3   Optimal model reduction by multipoint Pad'e approximation (context) - Lucas - 1993
3   Interconnect analysis in timing simulation using partitionin.. (context) - Chiprout, Grimme et al. - 1997
3   Best rational function approximation for Laplace transform i.. (context) - Longman - 1974

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