Mastronardi, Nicola; van Barel, Marc; Vandebril, Raf; van Dooren, Paul Deflating invariant subspaces for rank structured pencils. (English) Zbl 07808048 Electron. J. Linear Algebra 40, 177-202 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Electron. J. Linear Algebra 40, 177--202 (2024; Zbl 07808048) Full Text: DOI
Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf; Van Dooren, Paul Rational QZ steps with perfect shifts. (English) Zbl 07806994 Numer. Algorithms 95, No. 3, 1079-1102 (2024). MSC: 65F15 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Numer. Algorithms 95, No. 3, 1079--1102 (2024; Zbl 07806994) Full Text: DOI OA License
Van Buggenhout, Niel; Van Barel, Marc; Vandebril, Raf Generation of orthogonal rational functions by procedures for structured matrices. (English) Zbl 1480.65103 Numer. Algorithms 89, No. 2, 551-582 (2022). MSC: 65F60 65F18 30C10 PDFBibTeX XMLCite \textit{N. Van Buggenhout} et al., Numer. Algorithms 89, No. 2, 551--582 (2022; Zbl 1480.65103) Full Text: DOI arXiv Link
Noferini, Vanni; Robol, Leonardo; Vandebril, Raf Structured backward errors in linearizations. (English) Zbl 1470.65093 ETNA, Electron. Trans. Numer. Anal. 54, 420-442 (2021). MSC: 65H04 65F35 PDFBibTeX XMLCite \textit{V. Noferini} et al., ETNA, Electron. Trans. Numer. Anal. 54, 420--442 (2021; Zbl 1470.65093) 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
Mach, Thomas; Steel, Thijs; Vandebril, Raf; Watkins, David S. Pole-swapping algorithms for alternating and palindromic eigenvalue problems. (English) Zbl 1461.93179 Vietnam J. Math. 48, No. 4, 679-701 (2020). MSC: 93B60 93B55 15A22 PDFBibTeX XMLCite \textit{T. Mach} et al., Vietnam J. Math. 48, No. 4, 679--701 (2020; Zbl 1461.93179) Full Text: DOI arXiv
Camps, Daan; Mach, Thomas; Vandebril, Raf; Watkins, David S. On pole-swapping algorithms for the eigenvalue problem. (English) Zbl 1456.65025 ETNA, Electron. Trans. Numer. Anal. 52, 480-508 (2020). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{D. Camps} et al., ETNA, Electron. Trans. Numer. Anal. 52, 480--508 (2020; Zbl 1456.65025) Full Text: DOI arXiv Link
Camps, Daan; Mastronardi, Nicola; Vandebril, Raf; Van Dooren, Paul Swapping \(2 \times 2\) blocks in the Schur and generalized Schur form. (English) Zbl 1524.65161 J. Comput. Appl. Math. 373, Article ID 112274, 8 p. (2020). MSC: 65F15 15A21 PDFBibTeX XMLCite \textit{D. Camps} et al., J. Comput. Appl. Math. 373, Article ID 112274, 8 p. (2020; Zbl 1524.65161) Full Text: DOI
Del Corso, Gianna M.; Poloni, Federico; Robol, Leonardo; Vandebril, Raf Factoring block Fiedler companion matrices. (English) Zbl 1443.15008 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, 129-155 (2019). MSC: 15A23 PDFBibTeX XMLCite \textit{G. M. Del Corso} et al., Springer INdAM Ser. 30, 129--155 (2019; Zbl 1443.15008) Full Text: DOI
van Buggenhout, Niel; van Barel, Marc; Vandebril, Raf Biorthogonal rational Krylov subspace methods. (English) Zbl 1433.65058 ETNA, Electron. Trans. Numer. Anal. 51, 451-468 (2019). MSC: 65F15 15A22 65Q30 PDFBibTeX XMLCite \textit{N. van Buggenhout} et al., ETNA, Electron. Trans. Numer. Anal. 51, 451--468 (2019; Zbl 1433.65058) Full Text: DOI arXiv Link
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
Aurentz, Jared; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S. Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials. (English) Zbl 1434.65030 Math. Comput. 88, No. 315, 313-347 (2019). Reviewer: Martin Plešinger (Liberec) MSC: 65F15 15A22 15A18 PDFBibTeX XMLCite \textit{J. Aurentz} et al., Math. Comput. 88, No. 315, 313--347 (2019; Zbl 1434.65030) Full Text: DOI arXiv
Robol, Leonardo; Vandebril, Raf Efficient Ehrlich-Aberth iteration for finding intersections of interpolating polynomials and rational functions. (English) Zbl 1416.65096 Linear Algebra Appl. 542, 282-309 (2018). MSC: 65F15 15A18 65H05 PDFBibTeX XMLCite \textit{L. Robol} and \textit{R. Vandebril}, Linear Algebra Appl. 542, 282--309 (2018; Zbl 1416.65096) Full Text: DOI
Aurentz, Jared L.; Mach, Thomas; Robol, Leonardo; Vandebril, Raf; Watkins, David S. Fast and backward stable computation of roots of polynomials. II: Backward error analysis; companion matrix and companion pencil. (English) Zbl 1398.65056 SIAM J. Matrix Anal. Appl. 39, No. 3, 1245-1269 (2018). MSC: 65F15 65H17 15A18 65H04 PDFBibTeX XMLCite \textit{J. L. Aurentz} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1245--1269 (2018; Zbl 1398.65056) Full Text: DOI arXiv
Robol, Leonardo; Vandebril, Raf; Van Dooren, Paul A framework for structured linearizations of matrix polynomials in various bases. (English) Zbl 1365.15028 SIAM J. Matrix Anal. Appl. 38, No. 1, 188-216 (2017). MSC: 15A54 15A22 PDFBibTeX XMLCite \textit{L. Robol} et al., SIAM J. Matrix Anal. Appl. 38, No. 1, 188--216 (2017; Zbl 1365.15028) Full Text: DOI arXiv
Aurentz, Jared L.; Mach, Thomas; Vandebril, Raf; Watkins, David S. Fast and backward stable computation of roots of polynomials. (English) Zbl 1319.65034 SIAM J. Matrix Anal. Appl. 36, No. 3, 942-973 (2015). MSC: 65H04 65F15 PDFBibTeX XMLCite \textit{J. L. Aurentz} et al., SIAM J. Matrix Anal. Appl. 36, No. 3, 942--973 (2015; Zbl 1319.65034) Full Text: DOI Link
Aurentz, Jared L.; Vandebril, Raf; Watkins, David S. Fast computation of eigenvalues of companion, comrade, and related matrices. (English) Zbl 1293.65052 BIT 54, No. 1, 7-30 (2014). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 65H04 PDFBibTeX XMLCite \textit{J. L. Aurentz} et al., BIT 54, No. 1, 7--30 (2014; Zbl 1293.65052) Full Text: DOI
Vandebril, Raf; Del Corso, Gianna M. A unification of unitary similarity transforms to compressed representations. (English) Zbl 1231.65075 Numer. Math. 119, No. 4, 641-665 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A21 65F10 65F15 PDFBibTeX XMLCite \textit{R. Vandebril} and \textit{G. M. Del Corso}, Numer. Math. 119, No. 4, 641--665 (2011; Zbl 1231.65075) Full Text: DOI Link
Mastronardi, N.; Van Barel, M.; Vandebril, R. A fast algorithm for the recursive calculation of dominant singular subspaces. (English) Zbl 1154.65319 J. Comput. Appl. Math. 218, No. 2, 238-246 (2008). MSC: 65F30 15A15 15A09 15A23 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., J. Comput. Appl. Math. 218, No. 2, 238--246 (2008; Zbl 1154.65319) Full Text: DOI
Mastronardi, N.; Van Barel, M.; Vandebril, R. A Schur-based algorithm for computing bounds to the smallest eigenvalue of a symmetric positive definite Toeplitz matrix. (English) Zbl 1136.65042 Linear Algebra Appl. 428, No. 2-3, 479-491 (2008). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Linear Algebra Appl. 428, No. 2--3, 479--491 (2008; Zbl 1136.65042) Full Text: DOI
Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf A note on the recursive calculation of dominant singular subspaces. (English) Zbl 1068.65054 Numer. Algorithms 38, No. 4, 237-242 (2005). MSC: 65F30 65F20 65F25 PDFBibTeX XMLCite \textit{N. Mastronardi} et al., Numer. Algorithms 38, No. 4, 237--242 (2005; Zbl 1068.65054) Full Text: DOI Link