Steel, Thijs; Vandebril, Raf A novel, blocked algorithm for the reduction to Hessenberg-triangular form. (English) Zbl 1510.65071 Electron. J. Linear Algebra 38, 712-728 (2022). MSC: 65F15 15A18 65Y10 PDFBibTeX XMLCite \textit{T. Steel} and \textit{R. Vandebril}, Electron. J. Linear Algebra 38, 712--728 (2022; Zbl 1510.65071) Full Text: Link
Mohanty, Sraban Kumar; Sajith, G. An input/output efficient algorithm for Hessenberg reduction. (English) Zbl 1480.65110 Int. J. Found. Comput. Sci. 30, No. 8, 1279-1300 (2019). MSC: 65F99 68W40 15A23 PDFBibTeX XMLCite \textit{S. K. Mohanty} and \textit{G. Sajith}, Int. J. Found. Comput. Sci. 30, No. 8, 1279--1300 (2019; Zbl 1480.65110) Full Text: DOI
Dongarra, Jack; Gates, Mark; Haidar, Azzam; Kurzak, Jakub; Luszczek, Piotr; Tomov, Stanimire; Yamazaki, Ichitaro The singular value decomposition: anatomy of optimizing an algorithm for extreme scale. (English) Zbl 1410.65114 SIAM Rev. 60, No. 4, 808-865 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 65Y15 15A18 15A23 65Y05 PDFBibTeX XMLCite \textit{J. Dongarra} et al., SIAM Rev. 60, No. 4, 808--865 (2018; Zbl 1410.65114) Full Text: DOI
Bujanović, Zvonimir; Karlsson, Lars; Kressner, Daniel A Householder-based algorithm for Hessenberg-triangular reduction. (English) Zbl 1431.65041 SIAM J. Matrix Anal. Appl. 39, No. 3, 1270-1294 (2018). Reviewer: Wei-Ru Xu (Chengdu) MSC: 65F15 15A22 15A23 65Y20 PDFBibTeX XMLCite \textit{Z. Bujanović} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1270--1294 (2018; Zbl 1431.65041) Full Text: DOI arXiv
Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A. Linear algebra software for large-scale accelerated multicore computing. (English) Zbl 1353.65019 Acta Numerica 25, 1-160 (2016). Reviewer: Raffaella Pavani (Milano) MSC: 65F05 65Y15 65F15 65F20 65F50 PDFBibTeX XMLCite \textit{A. Abdelfattah} et al., Acta Numerica 25, 1--160 (2016; Zbl 1353.65019) Full Text: DOI
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Karlsson, L.; Kågström, B. Parallel two-stage reduction to Hessenberg form using dynamic scheduling on shared-memory architectures. (English) Zbl 1248.65043 Parallel Comput. 37, No. 12, 771-782 (2011). MSC: 65F30 65Y05 PDFBibTeX XMLCite \textit{L. Karlsson} and \textit{B. Kågström}, Parallel Comput. 37, No. 12, 771--782 (2011; Zbl 1248.65043) Full Text: DOI
Gorodetsky, Dmitry A.; Wilsey, Philip A. Advantages of modal decomposition for efficient scaling of parallel FDTD computations. (English) Zbl 1245.78017 Int. J. Numer. Model. 24, No. 6, 507-514 (2011). MSC: 78M20 65Y05 78A50 PDFBibTeX XMLCite \textit{D. A. Gorodetsky} and \textit{P. A. Wilsey}, Int. J. Numer. Model. 24, No. 6, 507--514 (2011; Zbl 1245.78017) Full Text: DOI
Katagiri, Takahiro; Itoh, Shoji A massively parallel dense symmetric eigensolver with communication splitting multicasting algorithm. (English) Zbl 1323.65129 Palma, José M. Laginha M. (ed.) et al., High performance computing for computational science – VECPAR 2010. 9th international conference, Berkeley, CA, USA, June 22–25, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-19327-9/pbk). Lecture Notes in Computer Science 6449, 139-150 (2011). MSC: 65Y05 65F15 65Y10 65Y20 PDFBibTeX XMLCite \textit{T. Katagiri} and \textit{S. Itoh}, Lect. Notes Comput. Sci. 6449, 139--150 (2011; Zbl 1323.65129) Full Text: DOI
Tomov, Stanimire; Nath, Rajib; Dongarra, Jack Accelerating the reduction to upper Hessenberg, tridiagonal, and bidiagonal forms through hybrid GPU-based computing. (English) Zbl 1214.65020 Parallel Comput. 36, No. 12, 645-654 (2010). MSC: 65F30 65Y10 PDFBibTeX XMLCite \textit{S. Tomov} et al., Parallel Comput. 36, No. 12, 645--654 (2010; Zbl 1214.65020) Full Text: DOI
Bai, Yihua; Ward, Robert C. Parallel block tridiagonalization of real symmetric matrices. (English) Zbl 1243.65174 J. Parallel Distrib. Comput. 68, No. 5, 703-715 (2008). MSC: 65Y05 65F15 65F30 PDFBibTeX XMLCite \textit{Y. Bai} and \textit{R. C. Ward}, J. Parallel Distrib. Comput. 68, No. 5, 703--715 (2008; Zbl 1243.65174) 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
Kaya, Doǧan Parallel algorithms for reduction of a symmetric matrix to tridiagonal form on a shared memory multiprocessor. (English) Zbl 1082.65522 Appl. Math. Comput. 169, No. 2, 1045-1062 (2005). MSC: 65F30 65Y05 15A21 65F15 PDFBibTeX XMLCite \textit{D. Kaya}, Appl. Math. Comput. 169, No. 2, 1045--1062 (2005; Zbl 1082.65522) Full Text: DOI
Kaya, D.; Wright, K. Parallel algorithms for reduction of a general matrix to upper Hessenberg form on a shared memory multiprocessor. (English) Zbl 1070.65029 Appl. Math. Comput. 165, No. 1, 195-212 (2005). MSC: 65F30 65F15 65Y05 PDFBibTeX XMLCite \textit{D. Kaya} and \textit{K. Wright}, Appl. Math. Comput. 165, No. 1, 195--212 (2005; Zbl 1070.65029) Full Text: DOI
Choi, Jaeyoung; Dongarra, Jack J.; Walker, David W. The design of a parallel dense linear algebra software library: Reduction to Hessenberg, tridiagonal, and bidiagonal form. (English) Zbl 0839.65050 Numer. Algorithms 10, No. 3-4, 379-399 (1995). Reviewer: N.Köckler (Paderborn) MSC: 65F30 65F15 15A21 15A12 65Y15 65Y20 65F35 PDFBibTeX XMLCite \textit{J. Choi} et al., Numer. Algorithms 10, No. 3--4, 379--399 (1995; Zbl 0839.65050) Full Text: DOI
Jessup, E. R. A case against a divide and conquer approach to the nonsymmetric eigenvalue problem. (English) Zbl 0782.65052 Appl. Numer. Math. 12, No. 5, 403-420 (1993). Reviewer: J.Zítko (Praha) MSC: 65F15 65Y05 65H05 30C15 PDFBibTeX XMLCite \textit{E. R. Jessup}, Appl. Numer. Math. 12, No. 5, 403--420 (1993; Zbl 0782.65052) Full Text: DOI
Bischof, Christian H. Adaptive blocking in the QR factorization. (English) Zbl 1215.65213 J. Supercomput. 3, No. 3, 193-208 (1989). MSC: 65Y05 15-04 PDFBibTeX XMLCite \textit{C. H. Bischof}, J. Supercomput. 3, No. 3, 193--208 (1989; Zbl 1215.65213) Full Text: DOI