A partial Padé-via-Lanczos method for reduced-order modeling

By Zhong-Zhi Bai, R. Freund. 2001

78 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems (2006, background): “Recent works have proposed Krylov subspace projection methods to avoid such numerical difficulties [4–14].”
Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems (2002, methodology): “In [7], a post-processing technique for the PVL method is proposed to modify the nth order Padé approximantHn(s) to make it stable, and if the original system is passive, also passive.”
Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective (2014, methodology): “For some reduced-order systems this can be achieved using post-processing techniques [13,14].”
Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form (2005, methodology): “Drawbacks of this technique are that stability and passivity are not necessarily preserved in the reduced-order system and that there is no global approximation error bound, see[6, 7 , 8, 10, 38] for recent contributions on this topic.”