Ruymbeek, Koen; Meerbergen, Karl; Michiels, Wim Tensor-Krylov method for computing eigenvalues of parameter-dependent matrices. (English) Zbl 1485.65039 J. Comput. Appl. Math. 408, Article ID 113869, 16 p. (2022). MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{K. Ruymbeek} et al., J. Comput. Appl. Math. 408, Article ID 113869, 16 p. (2022; Zbl 1485.65039) Full Text: DOI arXiv Link
Steel, Thijs; Camps, Daan; Meerbergen, Karl; Vandebril, Raf A multishift, multipole rational QZ method with aggressive early deflation. (English) Zbl 1467.65032 SIAM J. Matrix Anal. Appl. 42, No. 2, 753-774 (2021). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{T. Steel} et al., SIAM J. Matrix Anal. Appl. 42, No. 2, 753--774 (2021; Zbl 1467.65032) Full Text: DOI arXiv
Camps, Daan; Meerbergen, Karl; Vandebril, Raf A rational QZ method. (English) Zbl 1420.65044 SIAM J. Matrix Anal. Appl. 40, No. 3, 943-972 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 943--972 (2019; Zbl 1420.65044) Full Text: DOI arXiv
Camps, Daan; Meerbergen, Karl; Vandebril, Raf An implicit filter for rational Krylov using core transformations. (English) Zbl 1403.65016 Linear Algebra Appl. 561, 113-140 (2019). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., Linear Algebra Appl. 561, 113--140 (2019; Zbl 1403.65016) Full Text: DOI Link
Meerbergen, Karl; Plestenjak, Bor A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. (English) Zbl 1349.65122 Numer. Linear Algebra Appl. 22, No. 6, 1131-1146 (2015). Reviewer: Edgar Pereira (Natal) MSC: 65F10 15A18 15A24 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{B. Plestenjak}, Numer. Linear Algebra Appl. 22, No. 6, 1131--1146 (2015; Zbl 1349.65122) Full Text: DOI Link
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim Compact rational Krylov methods for nonlinear eigenvalue problems. (English) Zbl 1319.65042 SIAM J. Matrix Anal. Appl. 36, No. 2, 820-838 (2015). MSC: 65H17 65F15 15A22 65F25 PDFBibTeX XMLCite \textit{R. Van Beeumen} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 820--838 (2015; Zbl 1319.65042) Full Text: DOI Link
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl A linear eigenvalue algorithm for the nonlinear eigenvalue problem. (English) Zbl 1256.65043 Numer. Math. 122, No. 1, 169-195 (2012). Reviewer: Adhemar Bultheel (Leuven) MSC: 65H17 65F15 PDFBibTeX XMLCite \textit{E. Jarlebring} et al., Numer. Math. 122, No. 1, 169--195 (2012; Zbl 1256.65043) Full Text: DOI
Van Beeumen, R.; Van Nimmen, K.; Lombaert, G.; Meerbergen, K. Model reduction for dynamical systems with quadratic output. (English) Zbl 1246.74024 Int. J. Numer. Methods Eng. 91, No. 3, 229-248 (2012). MSC: 74H15 74H45 PDFBibTeX XMLCite \textit{R. Van Beeumen} et al., Int. J. Numer. Methods Eng. 91, No. 3, 229--248 (2012; Zbl 1246.74024) Full Text: DOI
Yue, Yao; Meerbergen, Karl Using Krylov-Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain. (English) Zbl 1242.74222 Int. J. Numer. Methods Eng. 90, No. 10, 1207-1232 (2012). MSC: 74S30 74P10 74H45 PDFBibTeX XMLCite \textit{Y. Yue} and \textit{K. Meerbergen}, Int. J. Numer. Methods Eng. 90, No. 10, 1207--1232 (2012; Zbl 1242.74222) Full Text: DOI
Meerbergen, Karl; Vandebril, Raf A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. (English) Zbl 1247.65049 Linear Algebra Appl. 436, No. 8, 2828-2844 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{R. Vandebril}, Linear Algebra Appl. 436, No. 8, 2828--2844 (2012; Zbl 1247.65049) Full Text: DOI
Saadvandi, Maryam; Meerbergen, Karl; Jarlebring, Elias On dominant poles and model reduction of second order time-delay systems. (English) Zbl 1236.93080 Appl. Numer. Math. 62, No. 1, 21-34 (2012). MSC: 93B60 93B55 93C15 PDFBibTeX XMLCite \textit{M. Saadvandi} et al., Appl. Numer. Math. 62, No. 1, 21--34 (2012; Zbl 1236.93080) Full Text: DOI Link
Meerbergen, Karl; Coyette, Jean-Pierre Connection and comparison between frequency shift time integration and a spectral transformation preconditioner. (English) Zbl 1224.65076 Numer. Linear Algebra Appl. 16, No. 1, 1-17 (2009). Reviewer: Miloslav Vlasák (Praha) MSC: 65F08 65L05 34A30 76Q05 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{J.-P. Coyette}, Numer. Linear Algebra Appl. 16, No. 1, 1--17 (2009; Zbl 1224.65076) Full Text: DOI
Meerbergen, K. Fast frequency response computation for Rayleigh damping. (English) Zbl 1195.74066 Int. J. Numer. Methods Eng. 73, No. 1, 96-106 (2008). MSC: 74H15 74H45 70J50 PDFBibTeX XMLCite \textit{K. Meerbergen}, Int. J. Numer. Methods Eng. 73, No. 1, 96--106 (2008; Zbl 1195.74066) Full Text: DOI Link
Meerbergen, K. Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem. (English) Zbl 1051.65040 Numer. Linear Algebra Appl. 8, No. 1, 33-52 (2001). Reviewer: Josef Kofroň (Praha) MSC: 65F15 PDFBibTeX XMLCite \textit{K. Meerbergen}, Numer. Linear Algebra Appl. 8, No. 1, 33--52 (2001; Zbl 1051.65040) Full Text: DOI
de Samblanx, G.; Meerbergen, K.; Bultheel, A. The implicit application of a rational filter in the RKS method. (English) Zbl 0890.65035 BIT 37, No. 4, 925-947 (1997). Reviewer: A.Meister (Hamburg) MSC: 65F15 PDFBibTeX XMLCite \textit{G. de Samblanx} et al., BIT 37, No. 4, 925--947 (1997; Zbl 0890.65035) Full Text: DOI
Meerbergen, K.; Spence, A.; Roose, D. Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. (English) Zbl 0814.65037 BIT 34, No. 3, 409-423 (1994). Reviewer: A.L.Andrew (Bundoora) MSC: 65F15 65F50 PDFBibTeX XMLCite \textit{K. Meerbergen} et al., BIT 34, No. 3, 409--423 (1994; Zbl 0814.65037) Full Text: DOI