Anzt, Hartwig; Cojean, Terry; Flegar, Goran; Göbel, Fritz; Grützmacher, Thomas; Nayak, Pratik; Ribizel, Tobias; Tsai, Yuhsiang Mike; Quintana-Ortí, Enrique S. Ginkgo: a modern linear operator algebra framework for high performance computing. (English) Zbl 07500127 ACM Trans. Math. Softw. 48, No. 1, Article No. 2, 33 p. (2022). MSC: 65-XX PDFBibTeX XMLCite \textit{H. Anzt} et al., ACM Trans. Math. Softw. 48, No. 1, Article No. 2, 33 p. (2022; Zbl 07500127) Full Text: DOI
Alonso-Jordá, Pedro; Davidović, Davor; Sapunar, Marin; Herrero, José R.; Quintana-Ortí, Enrique S. Efficient update of determinants for many-electron wave function overlaps. (English) Zbl 1523.81041 Comput. Phys. Commun. 258, Article ID 107521, 14 p. (2021). MSC: 81P68 65Y20 13F15 14M12 82B30 81V10 78A35 46A11 PDFBibTeX XMLCite \textit{P. Alonso-Jordá} et al., Comput. Phys. Commun. 258, Article ID 107521, 14 p. (2021; Zbl 1523.81041) Full Text: DOI
Rodríguez-Sánchez, Rafael; Catalán, Sandra; Herrero, José R.; Quintana-Ortí, Enrique S.; Tomás, Andrés E. Look-ahead in the two-sided reduction to compact band forms for symmetric eigenvalue problems and the SVD. (English) Zbl 1415.65090 Numer. Algorithms 80, No. 2, 635-660 (2019). MSC: 65F15 65F30 65Y05 PDFBibTeX XMLCite \textit{R. Rodríguez-Sánchez} et al., Numer. Algorithms 80, No. 2, 635--660 (2019; Zbl 1415.65090) Full Text: DOI arXiv Link
Low, Tze Meng; Igual, Francisco D.; Smith, Tyler M.; Quintana-Orti, Enrique S. Analytical modeling is enough for high-performance BLIS. (English) Zbl 1369.65200 ACM Trans. Math. Softw. 43, No. 2, Article No. 12, 18 p. (2016). MSC: 65Y15 65Fxx PDFBibTeX XMLCite \textit{T. M. Low} et al., ACM Trans. Math. Softw. 43, No. 2, Article No. 12, 18 p. (2016; Zbl 1369.65200) Full Text: DOI Link
Aliaga, José I.; Alonso, Pedro; Badía, José M.; Chacón, Pablo; Davidović, Davor; López-Blanco, José R.; Quintana-Ortí, Enrique S. A fast band-Krylov eigensolver for macromolecular functional motion simulation on multicore architectures and graphics processors. (English) Zbl 1352.65200 J. Comput. Phys. 309, 314-323 (2016). MSC: 65L15 65F15 65Y05 65Y10 PDFBibTeX XMLCite \textit{J. I. Aliaga} et al., J. Comput. Phys. 309, 314--323 (2016; Zbl 1352.65200) Full Text: DOI
Benner, Peter; Ezzatti, Pablo; Quintana-Ortí, Enrique S.; Remón, Alfredo A factored variant of the Newton iteration for the solution of algebraic Riccati equations via the matrix sign function. (English) Zbl 1300.65021 Numer. Algorithms 66, No. 2, 363-377 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 66, No. 2, 363--377 (2014; Zbl 1300.65021) Full Text: DOI
Bientinesi, Paolo; Gunnels, John A.; Myers, Margaret E.; Quintana-Ortí, Enrique S.; Rhodes, Tyler; van de Geijn, Robert A.; van Zee, Field G. Deriving dense linear algebra libraries. (English) Zbl 1298.65003 Formal Asp. Comput. 25, No. 6, 933-945 (2013). MSC: 65-04 65Fxx 15-04 PDFBibTeX XMLCite \textit{P. Bientinesi} et al., Formal Asp. Comput. 25, No. 6, 933--945 (2013; Zbl 1298.65003) Full Text: DOI Link
Aliaga, José I.; Bientinesi, Paolo; Davidović, Davor; Di Napoli, Edoardo; Igual, Francisco D.; Quintana-Ortí, Enrique S. Solving dense generalized eigenproblems on multi-threaded architectures. (English) Zbl 1278.65037 Appl. Math. Comput. 218, No. 22, 11279-11289 (2012). MSC: 65F15 65Y05 PDFBibTeX XMLCite \textit{J. I. Aliaga} et al., Appl. Math. Comput. 218, No. 22, 11279--11289 (2012; Zbl 1278.65037) Full Text: DOI arXiv
Alonso, Pedro; Cortina, Raquel; Quintana-Ortí, Enrique S.; Ranilla, José Increasing data locality and introducing level-3 BLAS in the neville elimination. (English) Zbl 1242.65052 Appl. Math. Comput. 218, No. 7, 3348-3358 (2011). MSC: 65F05 PDFBibTeX XMLCite \textit{P. Alonso} et al., Appl. Math. Comput. 218, No. 7, 3348--3358 (2011; Zbl 1242.65052) Full Text: DOI
Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S.; Remón, Alfredo A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. (English) Zbl 1225.65037 Parallel Comput. 37, No. 8, 439-450 (2011). MSC: 65F10 65F30 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Parallel Comput. 37, No. 8, 439--450 (2011; Zbl 1225.65037) Full Text: DOI
Kågström, B.; Kressner, D.; Quintana-Ortí, E. S.; Quintana-Ortí, G. Blocked algorithms for the reduction to Hessenberg-triangular form revisited. (English) Zbl 1157.65348 BIT 48, No. 3, 563-584 (2008). MSC: 65F15 65Y20 PDFBibTeX XMLCite \textit{B. Kågström} et al., BIT 48, No. 3, 563--584 (2008; Zbl 1157.65348) Full Text: DOI Link
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Solving stable Sylvester equations via rational iterative schemes. (English) Zbl 1098.65041 J. Sci. Comput. 28, No. 1, 51-83 (2006). MSC: 65F30 15A24 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Sci. Comput. 28, No. 1, 51--83 (2006; Zbl 1098.65041) Full Text: DOI
Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G. Parallel algorithms for model reduction of discrete-time systems. (English) Zbl 1044.93012 Int. J. Syst. Sci. 34, No. 5, 319-333 (2003). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 93B11 93B40 93C55 65Y05 PDFBibTeX XMLCite \textit{P. Benner} et al., Int. J. Syst. Sci. 34, No. 5, 319--333 (2003; Zbl 1044.93012) Full Text: DOI
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio Numerical solution of discrete stable linear matrix equations on multicomputers. (English) Zbl 1009.65039 Parallel Algorithms Appl. 17, No. 2, 127-146 (2002). MSC: 65K10 15A24 93C55 94A08 65F30 93E11 65Y05 65Y20 PDFBibTeX XMLCite \textit{P. Benner} et al., Parallel Algorithms Appl. 17, No. 2, 127--146 (2002; Zbl 1009.65039) Full Text: DOI
Mayo, Rafael; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio; Hernández, Vicente Parallel solvers for discrete-time algebraic Riccati equations. (English) Zbl 1008.65505 Concurrency Comput. Pract. Exp. 13, No. 2, 153-162 (2001). MSC: 65Y10 65Y05 93B40 PDFBibTeX XMLCite \textit{R. Mayo} et al., Concurrency Comput. Pract. Exp. 13, No. 2, 153--162 (2001; Zbl 1008.65505) Full Text: DOI
Quintana-Orti, Enrique S.; Hernandez, Vicente Parallel solution of Riccati matrix equations with the matrix sign function. (English) Zbl 0905.65055 Automatica 34, No. 2, 151-156 (1998). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 49N10 65K10 15A24 65Y05 PDFBibTeX XMLCite \textit{E. S. Quintana-Orti} and \textit{V. Hernandez}, Automatica 34, No. 2, 151--156 (1998; Zbl 0905.65055) Full Text: DOI