MIMO interconnects order reductions by using the global Arnoldi algorithm

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2006, Pages 1107-1110

  Lai, Ming Hong ^a   Chu, Chia Chi ^a   Feng, Wu Shiung ^a  

^a CHANG GUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ERROR ANALYSIS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; METHOD OF MOMENTS; TRANSFER MATRIX METHOD;

GLOBAL ARNOLDI ALGORITHMS; KRYLOV SUBSPACE; MULTI-INPUTS AND MULTI-OUTPUTS (MIMO); REDUCED-ORDER SYSTEM; RESIDUAL ERRORS;

INTERCONNECTION NETWORKS;

EID: 34547375949     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. Z. Bai, "Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems," Appl. Numer. Math., vol.43, no. 1-2, pp.9-44, 2002.
2. D.L. Boley, "Krylov space methods on state-space control models," Circuits Syst. Signal Process., vol.13, no.6, pp.733-758, 1994.
3. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, H. van der Vorst, and editors., Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, SIAM, Philadelphia, 2000.
4. C. C. Chu, H. J. Lee and W. S. Feng, "Error Estimations of Arnoldi-Based Interconnect Model-Order Reductions," IEICE Trans. Fundamentals, Vol. E88-A, No. 2, pp. 533-537, 2005.
5. R.W. Freund, "Krylov-subspace methods for reduced-order modeling in circuit simulation," J. Comput. Appl. Math., vol.123, pp.395-421, 2000.
6. P. Feldmann and R. W. Freund, "Reduced-Order Modeling of Large Linear Subcircuits via a Block Lanczos Algorithm," 32nd ACM/IEEE Design Automation Conference, pp. 474-479.
7. K. Gallivan, A. Vandendorpe, and P. Van Dooren, "Sylvester Equations and Projection-based Model Reduction," J. Computational and Applied Mathematics, Vol. 162, pp. 213-229, 2004.
8. K. Jbilou, A. J. Riquet, "Projection Methods for Large Lyapunov Matrix Equations," Linear Algebra and its Applications, to appear, 2005.
9. P. Lancaster and M Tismenetsky, The Theory of Matrices: with Applications, Academic Press, 1985.
10. A. Odabasioglu, M. Celik and L. T. Pileggi, "PRIMA: Passive Reduced-Order Interconnect Macromodeling Algorithm," IEEE Trans. on Computer-Aided Design of Integrated Circuits and Systems, Vol. 17, No. 8, pp. 645-654, 1998.
11. A. Odabasioglu, M. Celik and L. T. Pileggi, "Practical Considerations for Passive Reduction of RLC Circuits," Proc. ICCAD, pp. 214-219, 1999.