Chen, Jing; Huang, Biao; Gan, Min; Chen, C. L. Philip A novel reduced-order algorithm for rational models based on Arnoldi process and Krylov subspace. (English) Zbl 1478.93081 Automatica 129, Article ID 109663, 11 p. (2021). MSC: 93B11 93-08 PDFBibTeX XMLCite \textit{J. Chen} et al., Automatica 129, Article ID 109663, 11 p. (2021; Zbl 1478.93081) Full Text: DOI
Chen, Jing; Rong, Yingjiao; Zhu, Quanmin; Chandra, Budi; Zhong, Hongxiu A generalized minimal residual based iterative back propagation algorithm for polynomial nonlinear models. (English) Zbl 1478.93263 Syst. Control Lett. 153, Article ID 104966, 8 p. (2021). MSC: 93C10 93B30 PDFBibTeX XMLCite \textit{J. Chen} et al., Syst. Control Lett. 153, Article ID 104966, 8 p. (2021; Zbl 1478.93263) Full Text: DOI
Ramadan, Mohamed A.; El-Sayed, Ehab A. A projection algorithm for partial eigenvalue assignment problem using implicitly restarted Arnoldi method. (English) Zbl 1348.65072 J. Vib. Control 19, No. 3, 367-375 (2013). MSC: 65F15 93C05 65L15 93B52 PDFBibTeX XMLCite \textit{M. A. Ramadan} and \textit{E. A. El-Sayed}, J. Vib. Control 19, No. 3, 367--375 (2013; Zbl 1348.65072) Full Text: DOI
Chen, Haibao; Jiang, Yaolin An accelerated waveform relaxation approach based on model order reduction for large coupling systems. (English) Zbl 1289.65152 J. Comput. Math. 31, No. 2, 190-208 (2013). MSC: 65L05 65L20 93A15 34A34 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Jiang}, J. Comput. Math. 31, No. 2, 190--208 (2013; Zbl 1289.65152) Full Text: DOI
Yue, Yao; Meerbergen, Karl Parametric model order reduction of damped mechanical systems via the block Arnoldi process. (English) Zbl 1261.93025 Appl. Math. Lett. 26, No. 6, 643-648 (2013). MSC: 93B11 93C35 70Q05 PDFBibTeX XMLCite \textit{Y. Yue} and \textit{K. Meerbergen}, Appl. Math. Lett. 26, No. 6, 643--648 (2013; Zbl 1261.93025) Full Text: DOI
Jiang, Yao-Lin; Chen, Chun-Yue; Chen, Hai-Bao Model-order reduction of coupled DAE systems via \(\varepsilon\) technique and Krylov subspace method. (English) Zbl 1255.93030 J. Franklin Inst. 349, No. 10, 3027-3045 (2012). MSC: 93B11 93C15 93D15 PDFBibTeX XMLCite \textit{Y.-L. Jiang} et al., J. Franklin Inst. 349, No. 10, 3027--3045 (2012; Zbl 1255.93030) Full Text: DOI
Rommes, Joost Challenges in model order reduction for industrial problems. (English) Zbl 1247.78057 Michielsen, Bastiaan (ed.) et al., Scientific computing in electrical engineering SCEE 2010. Selected papers based on the presentations at the 8th conference, Toulouse, France, September 2010. Berlin: Springer (ISBN 978-3-642-22452-2/hbk; 978-3-642-22453-9/ebook). Mathematics in Industry 16, 367-375 (2012). MSC: 78M34 93B05 65F15 PDFBibTeX XMLCite \textit{J. Rommes}, Math. Ind. 16, 367--375 (2012; Zbl 1247.78057) Full Text: DOI
Michiels, Wim; Jarlebring, Elias; Meerbergen, Karl Krylov-based model order reduction of time-delay systems. (English) Zbl 1247.65086 SIAM J. Matrix Anal. Appl. 32, No. 4, 1399-1421 (2011). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65K10 93A15 93B11 93C15 93D25 PDFBibTeX XMLCite \textit{W. Michiels} et al., SIAM J. Matrix Anal. Appl. 32, No. 4, 1399--1421 (2011; Zbl 1247.65086) Full Text: DOI Link
Bouhamidi, A.; Heyouni, M.; Jbilou, K. Block Arnoldi-based methods for large scale discrete-time algebraic Riccati equations. (English) Zbl 1236.93054 J. Comput. Appl. Math. 236, No. 6, 1531-1542 (2011). MSC: 93B40 93C55 93A15 PDFBibTeX XMLCite \textit{A. Bouhamidi} et al., J. Comput. Appl. Math. 236, No. 6, 1531--1542 (2011; Zbl 1236.93054) Full Text: DOI
Li, Bin; Bao, Liang; Lin, Yiqin; Wei, Yimin Model-order reduction of \(k\)th order MIMO dynamical systems using block \(k\)th order Krylov subspaces. (English) Zbl 1211.65080 Int. J. Comput. Math. 88, No. 1, 150-162 (2011). MSC: 65K10 93C15 93D25 65F10 PDFBibTeX XMLCite \textit{B. Li} et al., Int. J. Comput. Math. 88, No. 1, 150--162 (2011; Zbl 1211.65080) Full Text: DOI
Chu, Chia-Chi; Tsai, Hung-Chi; Lai, Ming-Hong Structure preserving model-order reductions of MIMO second-order systems using Arnoldi methods. (English) Zbl 1193.93083 Math. Comput. Modelling 51, No. 7-8, 956-973 (2010). MSC: 93B11 93C35 65F30 PDFBibTeX XMLCite \textit{C.-C. Chu} et al., Math. Comput. Modelling 51, No. 7--8, 956--973 (2010; Zbl 1193.93083) Full Text: DOI
Polyuga, Rostyslav V.; van der Schaft, Arjan Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity. (English) Zbl 1193.93085 Automatica 46, No. 4, 665-672 (2010). MSC: 93B11 93C05 93C15 PDFBibTeX XMLCite \textit{R. V. Polyuga} and \textit{A. van der Schaft}, Automatica 46, No. 4, 665--672 (2010; Zbl 1193.93085) Full Text: DOI Link
Rommes, Joost; Martins, Nelson Exploiting structure in large-scale electrical circuit and power system problems. (English) Zbl 1185.93010 Linear Algebra Appl. 431, No. 3-4, 318-333 (2009). Reviewer: Nina Shokina (Freiburg) MSC: 93A15 65F15 65F50 93C40 94A12 93B11 PDFBibTeX XMLCite \textit{J. Rommes} and \textit{N. Martins}, Linear Algebra Appl. 431, No. 3--4, 318--333 (2009; Zbl 1185.93010) Full Text: DOI
Heyouni, M.; Jbilou, K. Matrix Krylov subspace methods for large scale model reduction problems. (English) Zbl 1115.65042 Appl. Math. Comput. 181, No. 2, 1215-1228 (2006). Reviewer: Keehwan Kim (Kyongsan) MSC: 65F30 15A24 93C05 PDFBibTeX XMLCite \textit{M. Heyouni} and \textit{K. Jbilou}, Appl. Math. Comput. 181, No. 2, 1215--1228 (2006; Zbl 1115.65042) Full Text: DOI
Lee, Herng-Jer; Chu, Chia-Chi; Feng, Wu-Shiung An adaptive-order rational Arnoldi method for model-order reductions of linear time-invariant systems. (English) Zbl 1105.93019 Linear Algebra Appl. 415, No. 2-3, 235-261 (2006). MSC: 93B11 93C15 93A15 PDFBibTeX XMLCite \textit{H.-J. Lee} et al., Linear Algebra Appl. 415, No. 2--3, 235--261 (2006; Zbl 1105.93019) Full Text: DOI
Hoffnung, Leonard; Li, Ren-Cang; Ye, Qiang Krylov type subspace methods for matrix polynomials. (English) Zbl 1104.65032 Linear Algebra Appl. 415, No. 1, 52-81 (2006). Reviewer: Ronald H. W. Hoppe (Augsburg) MSC: 65F15 93B15 93B11 65F50 65F10 65K10 PDFBibTeX XMLCite \textit{L. Hoffnung} et al., Linear Algebra Appl. 415, No. 1, 52--81 (2006; Zbl 1104.65032) Full Text: DOI
Bai, Zhaojun; Su, Yangfeng Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. (English) Zbl 1078.65058 SIAM J. Sci. Comput. 26, No. 5, 1692-1709 (2005). Reviewer: Michael I. Krastanov (Sofia) MSC: 65K10 93B11 93C15 93B40 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{Y. Su}, SIAM J. Sci. Comput. 26, No. 5, 1692--1709 (2005; Zbl 1078.65058) Full Text: DOI HAL
Jbilou, K. Block Krylov subspace methods for large algebraic Riccati equations. (English) Zbl 1045.65036 Numer. Algorithms 34, No. 2-4, 339-353 (2003). Reviewer: Krassimir Georgiev (Sofia) MSC: 65F30 65F10 65F50 15A24 65K10 93C55 93B36 PDFBibTeX XMLCite \textit{K. Jbilou}, Numer. Algorithms 34, No. 2--4, 339--353 (2003; Zbl 1045.65036) Full Text: DOI
Calvetti, D.; Reichel, L. Pole placement preconditioning. (English) Zbl 1018.65059 Linear Algebra Appl. 366, 99-120 (2003). MSC: 65F35 65F10 93B55 PDFBibTeX XMLCite \textit{D. Calvetti} and \textit{L. Reichel}, Linear Algebra Appl. 366, 99--120 (2003; Zbl 1018.65059) Full Text: DOI
Calvetti, D.; Lewis, B.; Reichel, L. Partial eigenvalue assignment for large linear control systems. (English) Zbl 1011.93055 Olshevsky, Vadim (ed.), Structured matrices in mathematics, computer science, and engineering I. Proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27-July 1, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 280, 241-254 (2001). Reviewer: Petko Hr.Petkov (Sofia) MSC: 93B55 65F15 93B40 93B60 PDFBibTeX XMLCite \textit{D. Calvetti} et al., Contemp. Math. 280, 241--254 (2001; Zbl 1011.93055)
Datta, Biswa Nath Large-scale matrix computations in control. (English) Zbl 0929.93012 Appl. Numer. Math. 30, No. 1, 53-63 (1999). Reviewer: Petko Hr.Petkov (Sofia) MSC: 93B40 93A15 93B55 93-02 65F30 PDFBibTeX XMLCite \textit{B. N. Datta}, Appl. Numer. Math. 30, No. 1, 53--63 (1999; Zbl 0929.93012) Full Text: DOI
Nasr, H.; Ramadan, M. An efficient frequency response computation using Arnoldi’s algorithm. (English) Zbl 0812.65052 Int. J. Comput. Math. 46, No. 3-4, 183-194 (1992). MSC: 65K10 65F30 93C05 93C15 PDFBibTeX XMLCite \textit{H. Nasr} and \textit{M. Ramadan}, Int. J. Comput. Math. 46, No. 3--4, 183--194 (1992; Zbl 0812.65052) Full Text: DOI
Datta, Biswa Nath; Saad, Youcef Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment. (English) Zbl 0734.65037 Linear Algebra Appl. 154-156, 225-244 (1991). Reviewer: A.Pil’kevich (Kiev) MSC: 65F30 65F50 65K10 15A24 93B55 PDFBibTeX XMLCite \textit{B. N. Datta} and \textit{Y. Saad}, Linear Algebra Appl. 154--156, 225--244 (1991; Zbl 0734.65037) Full Text: DOI