References
- Antoulas , A. C. 2005 . Approximation of Large-scale Dynamical Systems , Philadelphia : SIAM .
- Antoulas , A. C. , Sorensen , D. C. and Gugercin , S. 2001 . A survey of model reduction methods for large-scale systems . Contemp. Math. , 280 : 193 – 219 .
- Bai , Z. 2002 . Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems . Appl. Numer. Math. , 43 : 9 – 44 .
- Bai , Z. and Su , Y. 2005 . SOAR: A second-order Arnoldi method for the solution of the quadratic eigenvalue problem . SIAM J. Matrix Anal. Appl. , 26 : 640 – 659 .
- Bai , Z. and Su , Y. 2005 . Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method . SIAM J. Sci. Comput. , 26 : 1692 – 1709 .
- Benner , P. , Mehrmann , V. and Sorensen , D. C. 2005 . Dimension Reduction of Large-Scale Systems , Edited by: Benner , P. , Mehrmann , V. and Sorensen , D. C. Vol. 45 , Berlin : Springer . Lecture Notes in Computational Science and Engineering
- Brenan , K. E. , Campbell , S. L. and Petzold , L. R. 1996 . Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations , Philadelphia : SIAM .
- Clark , J. V. , Zhou , N. , Bindel , D. , Schenato , L. , Wu , W. , Demmel , J. and Pister , K. S.J. Proceedings of Microscale Systems: Mechanics and Measurements Symposium . June 8 , Orlando, FL, USA. 3D MEMS simulation using modified nodal analysis , pp. 68 – 75 .
- Craig , J. R.R. 1981 . Structural Dynamics: An Introduction to Computer Methods , New Jersey : John Wiley and Sons .
- Demmel , J. 1997 . Applied Numerical Linear Algebra , SIAM : Philadelphia .
- Freund , R. W. 2000 . Krylov-subspace methods for reduced-order modeling in circuit simulation . J. Comput. Appl. Math. , 123 : 395 – 421 .
- Freund , R. W. 2003 . Model reduction methods based on Krylov subspaces . Acta Numer. , 12 : 267 – 319 .
- Freund , R. W. 2005 . Krylov subspaces associated with higher-order linear dynamical systems . BIT Numer. Math. , 45 : 495 – 516 .
- Golub , G. H. and van Loan , C. F. 1996 . Matrix Computations , 3 , Baltimore : Johns Hopkins University Press .
- Kowalski , T. 2000 . Extracting a few eigenpairs of symmetric indefinite matrix pencils , Lexington : University of Kentucky . Ph.D. thesis
- Kunkel , P. and Mehrmann , V. 2006 . Differential-Algebraic Equations: Analysis and Numerical Solution , Zurich : European Mathematical Society .
- Lin , Y. and Bao , L. 2006 . Block second-order Krylov subspace methods for large quadratic eigenvalue problems . Appl. Math. Comput. , 181 : 413 – 422 .
- Lin , Y. , Bao , L. and Wei , Y. 2007 . Model-order reduction of large-scale second-order MIMO dynamical systems via a block second-order Arnoldi method . Int. J. Comput. Math. , 84 : 1003 – 1019 .
- Lin , Y. , Bao , L. and Wei , Y. 2010 . Model-order reduction of large-scale kth-order linear dynamical systems via a kth-order Arnoldi method . Int. J. Comput. Math. , 87 : 435 – 453 .
- Moore , B. C. 1981 . Principal component analysis in linear systems: Controllability, observability, and model reduction . IEEE Trans. Automat. Control , 26 : 17 – 32 .
- Odabasioglu , A. , Celik , M. and Pileggi , L. T. 1998 . PRIMA: Passive reduced-order interconnect macro-modeling algorithm . IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. , 17 : 645 – 654 .
- Saad , Y. 2003 . Iterative Methods for Sparse Linear Systems , 2 , Philadelphia : SIAM .
- Saad , Y. and Schultz , M. H. 1986 . GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems . SIAM J. Sci. Statist. Comput. , 7 : 856 – 869 .
- Su , T. J. and Craig , J. R.R. 1991 . Model reduction and control of flexible structures using Krylov vectors . J. Guid. Control Dyn. , 14 : 260 – 267 .