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International Journal of Computer Mathematics Volume 84, 2007 - Issue 7
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Original Articles

Model-order reduction of large-scale second-order MIMO dynamical systems via a block second-order Arnoldi method

Yiqin Lin Department of Mathematics and Computational Science, Hunan University of Science and Engineering, Yongzhou, 425100, P.R. ChinaView further author information
,
Liang Bao Institute of Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, 200433, P.R. ChinaView further author information
&
Yimin Wei Ministry of Education, Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), P.R. ChinaCorrespondence[email protected]
Pages 1003-1019 | Received 20 Oct 2006, Accepted 14 Jan 2007, Published online: 01 Aug 2007

Citations (14)

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Read on this site (2)

Bin Li, Liang Bao, Yiqin Lin & Yimin Wei. (2011) Model-order reduction of kth order MIMO dynamical systems using block kth order Krylov subspaces. International Journal of Computer Mathematics 88:1, pages 150-162.
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Yiqin Lin, Liang Bao & Yimin Wei. (2010) Model-order reduction of large-scale kth-order linear dynamical systems via a kth-order Arnoldi method. International Journal of Computer Mathematics 87:2, pages 435-453.
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Articles from other publishers (12)

Ke Chen, Junhui Chen, Jie Liu & Qing Huo Liu. (2024) Fast Subsurface EM Simulation Based on the Mixed Finite-Element Method and Second-Order Arnoldi Algorithm. IEEE Geoscience and Remote Sensing Letters 21, pages 1-5.
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Zheng Wang, Yuhao Cong & Xiulin Hu. (2021) Static output feedback stabilization for second-order singular systems using model reduction methods. Applied Mathematics and Mechanics 42:3, pages 457-466.
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Yuhao Cong & Zheng Wang. (2021) STATIC OUTPUT FEEDBACK DESIGN USING MODEL REDUCTION METHODS FOR SECOND-ORDER SYSTEMS. Journal of Applied Analysis & Computation 11:4, pages 1852-1867.
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Harikrishnan K. Sreekumar, Rupert Ullmann, Stefan Sicklinger & Sabine C. Langer. 2021. Model Reduction of Complex Dynamical Systems. Model Reduction of Complex Dynamical Systems 259 282 .
Yao‐Lin Jiang, Chun‐Yue Chen & Ping Yang. (2018) Balanced truncation with ε‐embedding for coupled dynamical systems. IET Circuits, Devices & Systems 12:3, pages 271-279.
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Chongru Liu, Xiao Li, Pengfei Tian & Mu Wang. (2017) An Improved IRA Algorithm and Its Application in Critical Eigenvalues Searching for Low Frequency Oscillation Analysis. IEEE Transactions on Power Systems 32:4, pages 2974-2983.
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Ping Yang, Kang-Li Xu & Yao-Lin Jiang. (2016) $\mathscr{H}_{2}$ model order reduction for bilinear systems based on the cross gramian. IMA Journal of Mathematical Control and Information, pages dnw029.
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C. Y. Chung & Bo Dai. (2013) A Combined TSA-SPA Algorithm for Computing Most Sensitive Eigenvalues in Large-Scale Power Systems. IEEE Transactions on Power Systems 28:1, pages 149-157.
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N. Mohd Amin & R. R. Krisnamoorthy. (2012) Krylov Subspace model order reduction for FE seismic analysis. Krylov Subspace model order reduction for FE seismic analysis.
Yiqin Lin & Liang Bao. (2009) On the loss of orthogonality in the second-order Arnoldi process. Journal of Applied Mathematics and Computing 35:1-2, pages 475-482.
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Mitsuteru ASAI, Norliyati MOHD AMIN & Yoshimi SONODA. (2011) Practical Determination of an Effective Reduced Order in a Model Order Reduction of Dynamic FEM via Krylov Subspace. Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 67:2, pages I_85-I_93.
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N M Amin, M Asai & Y Sonoda. (2010) Application of a model order reduction method based on the Krylov subspace to finite element transient analysis imposing several kinds of boundary condition. IOP Conference Series: Materials Science and Engineering 10, pages 012118.
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