Sorensen, D. C.; Embree, Mark A DEIM induced CUR factorization. (English) Zbl 1382.65121 SIAM J. Sci. Comput. 38, No. 3, A1454-A1482 (2016). MSC: 65F30 15A23 47A58 65F35 68W25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{M. Embree}, SIAM J. Sci. Comput. 38, No. 3, A1454--A1482 (2016; Zbl 1382.65121) Full Text: DOI arXiv
Zhou, Y.; Sorensen, D. C. Approximate implicit subspace iteration with alternating directions for LTI system model reduction. (English) Zbl 1212.65258 Numer. Linear Algebra Appl. 15, No. 9, 873-886 (2008). MSC: 65K10 65F30 15A24 93B40 65F10 93B11 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{D. C. Sorensen}, Numer. Linear Algebra Appl. 15, No. 9, 873--886 (2008; Zbl 1212.65258) Full Text: DOI
Heinkenschloss, Matthias; Sorensen, Danny C.; Sun, Kai Balanced truncation model reduction for a class of descriptor systems with application to the Oseen equations. (English) Zbl 1216.76015 SIAM J. Sci. Comput. 30, No. 2, 1038-1063 (2008). MSC: 76D05 37N10 76D55 15A24 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., SIAM J. Sci. Comput. 30, No. 2, 1038--1063 (2008; Zbl 1216.76015) Full Text: DOI Link
Shah, Mili I.; Sorensen, Danny C. A symmetry preserving singular value decomposition. (English) Zbl 1124.65042 SIAM J. Matrix Anal. Appl. 28, No. 3, 749-769 (2006). Reviewer: Reinhold Kainhofer (Wien) MSC: 65F20 15A18 62H25 92D20 PDFBibTeX XMLCite \textit{M. I. Shah} and \textit{D. C. Sorensen}, SIAM J. Matrix Anal. Appl. 28, No. 3, 749--769 (2006; Zbl 1124.65042) Full Text: DOI Link
Beattie, Christopher A.; Embree, Mark; Sorensen, D. C. Convergence of polynomial restart Krylov methods for eigenvalue computations. (English) Zbl 1073.65028 SIAM Rev. 47, No. 3, 492-515 (2005). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F15 15A18 15A60 30E10 47A15 PDFBibTeX XMLCite \textit{C. A. Beattie} et al., SIAM Rev. 47, No. 3, 492--515 (2005; Zbl 1073.65028) Full Text: DOI
Sorensen, Danny C.; Zhou, Yunkai Direct methods for matrix Sylvester and Lyapunov equations. (English) Zbl 1028.65039 J. Appl. Math. 2003, No. 6, 277-303 (2003). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{Y. Zhou}, J. Appl. Math. 2003, No. 6, 277--303 (2003; Zbl 1028.65039) Full Text: DOI EuDML
Gugercin, S.; Sorensen, D. C.; Antoulas, A. C. A modified low-rank Smith method for large-scale Lyapunov equations. (English) Zbl 1034.93020 Numer. Algorithms 32, No. 1, 27-55 (2003). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93B40 93A15 15A24 93B11 PDFBibTeX XMLCite \textit{S. Gugercin} et al., Numer. Algorithms 32, No. 1, 27--55 (2003; Zbl 1034.93020) Full Text: DOI
Sorensen, D. C.; Antoulas, A. C. The Sylvester equation and approximate balanced reduction. (English) Zbl 1023.93012 Linear Algebra Appl. 351-352, 671-700 (2002). Reviewer: L.Rodman (Williamsburg) MSC: 93B11 15A24 93B20 41A05 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{A. C. Antoulas}, Linear Algebra Appl. 351--352, 671--700 (2002; Zbl 1023.93012) Full Text: DOI
Antoulas, A. C.; Sorensen, D. C.; Zhou, Y. On the decay rate of Hankel singular values and related issues. (English) Zbl 1003.93024 Syst. Control Lett. 46, No. 5, 323-342 (2002). MSC: 93B60 93B11 15A18 15A24 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., Syst. Control Lett. 46, No. 5, 323--342 (2002; Zbl 1003.93024) Full Text: DOI
Antoulas, A. C.; Sorensen, D. C. Lyapunov, Lanczos, and inertia. (English) Zbl 0997.65065 Linear Algebra Appl. 326, No. 1-3, 137-150 (2001). Reviewer: Raffela Pavani (Milano) MSC: 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{A. C. Antoulas} and \textit{D. C. Sorensen}, Linear Algebra Appl. 326, No. 1--3, 137--150 (2001; Zbl 0997.65065) Full Text: DOI
Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. (English) Zbl 0934.65030 Software - Environments - Tools. 9. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xxi, 407 p. (1999). Reviewer: O.Pastravanu (Iaşi) MSC: 65Fxx 65Y15 65-01 15-04 68-00 68N20 PDFBibTeX XMLCite \textit{E. Anderson} et al., LAPACK user's guide. This work is dedicated to Jim Wilkinson. 3rd ed. Philadelphia, PA: SIAM (1999; Zbl 0934.65030) Full Text: DOI
Lehoucq, R. B.; Sorensen, D. C.; Yang, C. ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. (English) Zbl 0901.65021 Software - Environments - Tools, 6. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 142 p. (1998). Reviewer: P.Narain (Bombay) MSC: 65F15 65-02 15-04 PDFBibTeX XMLCite \textit{R. B. Lehoucq} et al., ARPACK user's guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Philadelphia, PA: SIAM (1998; Zbl 0901.65021) Full Text: DOI
Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. LAPACK user’s guide. 2nd ed. (English) Zbl 0843.65018 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xix, 325 p. (1995). Reviewer: O.Pastravanu (Iaşi) MSC: 65Fxx 65Yxx 65-01 15-04 68-00 68N20 PDFBibTeX XMLCite \textit{E. Anderson} et al., LAPACK user's guide. 2nd ed. Philadelphia, PA: SIAM (1995; Zbl 0843.65018)
Ammar, G. S.; Reichel, L.; Sorensen, D. C. Corrigendum: Algorithm 730. An implementation of a divide and conquer algorithm for the unitary eigenproblem. (English) Zbl 0894.65017 ACM Trans. Math. Softw. 20, No. 1, 161 (1994). MSC: 65F15 15-04 PDFBibTeX XMLCite \textit{G. S. Ammar} et al., ACM Trans. Math. Softw. 20, No. 1, 161 (1994; Zbl 0894.65017) Full Text: DOI Link
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. Solving linear systems on vector and shared memory computers. (English) Zbl 0770.65009 Philadelphia, PA: SIAM (ISBN 0-89871-270-X). xii, 256 p. (1990). Reviewer: I.N.Katz (St.Louis) MSC: 65F05 65F10 65Y05 65-02 65Y10 15-04 68W15 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Solving linear systems on vector and shared memory computers. Philadelphia, PA: SIAM (1990; Zbl 0770.65009)
Dongarra, Jack J.; Sorensen, Danny C. A look at the evolution of mathematical software for dense matrix problems over the past fifteen years. (English) Zbl 0703.65014 Numerical algorithms for modern parallel computer architectures, Proc. Workshop IMA Progr., Minneapolis/MN (USA) 1986-87, IMA Vol. Math. Appl. 13, 29-36 (1988). Reviewer: B.Burrows MSC: 65F05 65F15 65Y20 01A65 68Q25 65-03 15-04 PDFBibTeX XML
Brewer, Orlie; Dongarra, Jack J.; Sorensen, Danny C. Tools to aid in the analysis of memory access patterns for FORTRAN programs. (English) Zbl 0662.68009 Parallel Comput. 9, No. 1, 25-35 (1988). MSC: 68N01 15A23 68N25 PDFBibTeX XMLCite \textit{O. Brewer} et al., Parallel Comput. 9, No. 1, 25--35 (1988; Zbl 0662.68009) Full Text: DOI
Coleman, Thomas F.; Sorensen, Danny C. A note on the computation of an orthonormal basis for the null space of a matrix. (English) Zbl 0539.65020 Math. Program. 29, 234-242 (1984). Reviewer: W.Bunse MSC: 65F25 15A23 PDFBibTeX XMLCite \textit{T. F. Coleman} and \textit{D. C. Sorensen}, Math. Program. 29, 234--242 (1984; Zbl 0539.65020) Full Text: DOI
Fletcher, R.; Sorensen, D. C. An algorithmic derivation of the Jordan canonical form. (English) Zbl 0529.15008 Am. Math. Mon. 90, 12-16 (1983). MSC: 15A21 PDFBibTeX XMLCite \textit{R. Fletcher} and \textit{D. C. Sorensen}, Am. Math. Mon. 90, 12--16 (1983; Zbl 0529.15008) Full Text: DOI