Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul Computing Gaussian quadrature rules with high relative accuracy. (English) Zbl 1506.65053 Numer. Algorithms 92, No. 1, 767-793 (2023). MSC: 65D32 PDFBibTeX XMLCite \textit{T. Laudadio} et al., Numer. Algorithms 92, No. 1, 767--793 (2023; Zbl 1506.65053) Full Text: DOI
Dopico, Froilán M.; Quintana, María C.; van Dooren, Paul Diagonal scalings for the eigenstructure of arbitrary pencils. (English) Zbl 1498.15018 SIAM J. Matrix Anal. Appl. 43, No. 3, 1213-1237 (2022). Reviewer: Ctirad Matonoha (Praha) MSC: 15A22 15A18 65F15 65F35 65F22 PDFBibTeX XMLCite \textit{F. M. Dopico} et al., SIAM J. Matrix Anal. Appl. 43, No. 3, 1213--1237 (2022; Zbl 1498.15018) Full Text: DOI arXiv
Mastronardi, Nicola; Taeter, Harold; van Dooren, Paul On computing eigenvectors of symmetric tridiagonal matrices. (English) Zbl 07215840 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 181-195 (2019). MSC: 65Yxx 15-XX 68-XX 65-XX 65Fxx PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Springer INdAM Ser. 30, 181--195 (2019; Zbl 07215840) Full Text: DOI
Mastronardi, Nicola; van Dooren, Paul The \(QR\) steps with perfect shifts. (English) Zbl 1402.65024 SIAM J. Matrix Anal. Appl. 39, No. 4, 1591-1615 (2018). MSC: 65F15 65F25 PDFBibTeX XMLCite \textit{N. Mastronardi} and \textit{P. van Dooren}, SIAM J. Matrix Anal. Appl. 39, No. 4, 1591--1615 (2018; Zbl 1402.65024) Full Text: DOI
Lawrence, Piers W.; van Barel, Marc; van Dooren, Paul Backward error analysis of polynomial eigenvalue problems solved by linearization. (English) Zbl 1382.65101 SIAM J. Matrix Anal. Appl. 37, No. 1, 123-144 (2016). MSC: 65F15 15A18 65F35 PDFBibTeX XMLCite \textit{P. W. Lawrence} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 123--144 (2016; Zbl 1382.65101) Full Text: DOI
Melchior, Samuel A.; Van Dooren, Paul; Gallivan, Kyle A. Model reduction of linear time-varying systems over finite horizons. (English) Zbl 1302.39003 Appl. Numer. Math. 77, 72-81 (2014). MSC: 39A05 93A30 PDFBibTeX XMLCite \textit{S. A. Melchior} et al., Appl. Numer. Math. 77, 72--81 (2014; Zbl 1302.39003) Full Text: DOI
Baker, C. G.; Gallivan, K. A.; Van Dooren, P. Low-rank incremental methods for computing dominant singular subspaces. (English) Zbl 1241.65036 Linear Algebra Appl. 436, No. 8, 2866-2888 (2012). MSC: 65F20 PDFBibTeX XMLCite \textit{C. G. Baker} et al., Linear Algebra Appl. 436, No. 8, 2866--2888 (2012; Zbl 1241.65036) Full Text: DOI
Gallivan, K.; Vandendorpe, A.; Van Dooren, P. Sylvester equations and projection-based model reduction. (English) Zbl 1044.65054 J. Comput. Appl. Math. 162, No. 1, 213-229 (2004). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 65K10 93B11 93C05 65F10 15A24 93C15 PDFBibTeX XMLCite \textit{K. Gallivan} et al., J. Comput. Appl. Math. 162, No. 1, 213--229 (2004; Zbl 1044.65054) Full Text: DOI
Gallivan, K.; Grimme, E.; Van Dooren, P. A rational Lanczos algorithm for model reduction. (English) Zbl 0870.65053 Numer. Algorithms 12, No. 1-2, 33-63 (1996). Reviewer: G.Jumarie (Montréal) MSC: 65K10 93C15 93A99 65F15 PDFBibTeX XMLCite \textit{K. Gallivan} et al., Numer. Algorithms 12, No. 1--2, 33--63 (1996; Zbl 0870.65053) Full Text: DOI
Grimme, E. J.; Sorensen, D. C.; Van Dooren, P. Model reduction of state space systems via an implicitly restarted Lanczos method. (English) Zbl 0870.65052 Numer. Algorithms 12, No. 1-2, 1-31 (1996). Reviewer: G.Jumarie (Montréal) MSC: 65K10 93A99 93C15 65F15 PDFBibTeX XMLCite \textit{E. J. Grimme} et al., Numer. Algorithms 12, No. 1--2, 1--31 (1996; Zbl 0870.65052) Full Text: DOI
Björck, Åke; Grimme, Eric; van Dooren, Paul An implicit shift bidiagonalization algorithm for ill-posed systems. (English) Zbl 0821.65023 BIT 34, No. 4, 510-534 (1994). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{Å. Björck} et al., BIT 34, No. 4, 510--534 (1994; Zbl 0821.65023) Full Text: DOI
Charlier, J.-P.; Van Dooren, P. A systolic algorithm for Riccati and Lyapunov equations. (English) Zbl 0675.65032 Math. Control Signals Syst. 2, No. 2, 109-136 (1989). Reviewer: Petko Hr.Petkov MSC: 65F30 93B50 15A24 65Y05 PDFBibTeX XMLCite \textit{J. P. Charlier} and \textit{P. Van Dooren}, Math. Control Signals Syst. 2, No. 2, 109--136 (1989; Zbl 0675.65032) Full Text: DOI