A Unified Krylov Projection Framework for Structure-Preserving Model Reduction

[1]  James Demmel,et al.  Applied Numerical Linear Algebra , 1997 .

[2]  Ren-Cang Li,et al.  Structure-Preserving Model Reduction Using a Krylov Subspace Projection Formulation , 2005 .

[3]  Eric James Grimme,et al.  Krylov Projection Methods for Model Reduction , 1997 .

[4]  Zhaojun Bai,et al.  SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem , 2005, SIAM J. Matrix Anal. Appl..

[5]  Andrew T. Yang,et al.  Preservation of passivity during RLC network reduction via split congruence transformations , 1998, IEEE Trans. Comput. Aided Des. Integr. Circuits Syst..

[6]  Kishore Singhal,et al.  Computer Methods for Circuit Analysis and Design , 1983 .

[7]  Zhaojun Bai,et al.  Dimension Reduction of Large-Scale Second-Order Dynamical Systems via a Second-Order Arnoldi Method , 2005, SIAM J. Sci. Comput..

[8]  R. Craig,et al.  Model reduction and control of flexible structures using Krylov vectors , 1991 .

[9]  Fan Yang,et al.  RLC equivalent circuit synthesis method for structure-preserved reduced-order model of interconnect in VLSI , 2008 .

[10]  Paul Van Dooren,et al.  Model Reduction of Interconnected Systems , 2008 .

[11]  Axel Ruhe Rational Krylov algorithms for nonsymmetric eigenvalue problems. II. matrix pairs , 1994 .

[12]  Gene H. Golub,et al.  Matrix computations , 1983 .

[13]  Xuan Zeng,et al.  SAPOR: second-order Arnoldi method for passive order reduction of RCS circuits , 2004, ICCAD 2004.

[14]  Timo Reis,et al.  Stability analysis and model order reduction of coupled systems , 2007 .

[15]  Åke Björck,et al.  Numerical methods for least square problems , 1996 .

[16]  Axel Ruhe Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems , 1994 .

[17]  Hao Ji,et al.  How to efficiently capture on-chip inductance effects: introducing a new circuit element K , 2000, IEEE/ACM International Conference on Computer Aided Design. ICCAD - 2000. IEEE/ACM Digest of Technical Papers (Cat. No.00CH37140).

[18]  Axel Ruhe Rational Krylov sequence methods for eigenvalue computation , 1984 .

[19]  Lawrence T. Pileggi,et al.  Window-based susceptance models for large-scale RLC circuit analyses , 2002, Proceedings 2002 Design, Automation and Test in Europe Conference and Exhibition.

[20]  Yousef Saad,et al.  Iterative methods for sparse linear systems , 2003 .

[21]  Xuan Zeng,et al.  Block SAPOR: block second-order Arnoldi method for passive order reduction of multi-input multi-output RCS interconnect circuits , 2005, Proceedings of the ASP-DAC 2005. Asia and South Pacific Design Automation Conference, 2005..

[22]  Zhaojun Bai,et al.  Structure-Preserving Model Reduction , 2004, PARA.

[23]  Robert Skelton,et al.  Model reductions using a projection formulation , 1987, 26th IEEE Conference on Decision and Control.