Goreinov, Sergei A. A note on the fast direct method for discrete elliptic problems. (English) Zbl 1431.65023 Russ. J. Numer. Anal. Math. Model. 34, No. 6, 317-326 (2019). MSC: 65F05 65N22 65Y05 PDFBibTeX XMLCite \textit{S. A. Goreinov}, Russ. J. Numer. Anal. Math. Model. 34, No. 6, 317--326 (2019; Zbl 1431.65023) Full Text: DOI
Bezrodnykh, Sergei; Bogatyrëv, Andrei; Goreinov, Sergei; Grigor’ev, Oleg; Hakula, Harri; Vuorinen, Matti On capacity computation for symmetric polygonal condensers. (English) Zbl 1416.65076 J. Comput. Appl. Math. 361, 271-282 (2019). MSC: 65E05 30C85 30C30 31A15 31B15 PDFBibTeX XMLCite \textit{S. Bezrodnykh} et al., J. Comput. Appl. Math. 361, 271--282 (2019; Zbl 1416.65076) Full Text: DOI arXiv
Bogatyrev, A. B.; Goreinov, Sergeĭ A.; Lyamaev, Sergeĭ Yu. Analytical approach to multiband filter synthesis and comparison to other approaches. (English. Russian original) Zbl 1387.94027 Probl. Inf. Transm. 53, No. 3, 260-273 (2017); translation from Probl. Peredachi Inf. 53, No. 3, 64-77 (2017). MSC: 94A12 93E11 PDFBibTeX XMLCite \textit{A. B. Bogatyrev} et al., Probl. Inf. Transm. 53, No. 3, 260--273 (2017; Zbl 1387.94027); translation from Probl. Peredachi Inf. 53, No. 3, 64--77 (2017) Full Text: DOI arXiv
Bogatyrev, Andrei B.; Goreinov, Sergei A.; Lyamaev, Sergei Yu. Efficient synthesis of optimal multiband filter. (English) Zbl 1369.93190 Russ. J. Numer. Anal. Math. Model. 32, No. 4, 217-223 (2017). MSC: 93B50 93E11 93C95 30E10 41A20 41A25 PDFBibTeX XMLCite \textit{A. B. Bogatyrev} et al., Russ. J. Numer. Anal. Math. Model. 32, No. 4, 217--223 (2017; Zbl 1369.93190) Full Text: DOI
Goreinov, S. A.; Oseledets, I. V.; Savostyanov, D. V. Wedderburn rank reduction and Krylov subspace method for tensor approximation. I: Tucker case. (English) Zbl 1242.15011 SIAM J. Sci. Comput. 34, No. 1, A1-A27 (2012). Reviewer: Răzvan Răducanu (Iaşi) MSC: 15A23 15A69 65F50 65F10 65F30 PDFBibTeX XMLCite \textit{S. A. Goreinov} et al., SIAM J. Sci. Comput. 34, No. 1, A1--A27 (2012; Zbl 1242.15011) Full Text: DOI arXiv
Goreinov, S. A.; Tyrtyshnikov, E. E. Quasioptimality of skeleton approximation of a matrix in the Chebyshev norm. (English. Russian original) Zbl 1252.65078 Dokl. Math. 83, No. 3, 374-375 (2011); translation from Dokl. Akad. Nauk 438, No. 5, 593-594 (2011). MSC: 65F20 PDFBibTeX XMLCite \textit{S. A. Goreinov} and \textit{E. E. Tyrtyshnikov}, Dokl. Math. 83, No. 3, 374--375 (2011; Zbl 1252.65078); translation from Dokl. Akad. Nauk 438, No. 5, 593--594 (2011) Full Text: DOI
Goreinov, S. A.; Oseledets, I. V.; Savostyanov, D. V.; Tyrtyshnikov, E. E.; Zamarashkin, N. L. How to find a good submatrix. (English) Zbl 1215.65078 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 247-256 (2010). MSC: 65F30 15B52 PDFBibTeX XMLCite \textit{S. A. Goreinov} et al., in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 247--256 (2010; Zbl 1215.65078)
Goreinov, S. A. On cross approximation of multi-index arrays. (English. Russian original) Zbl 1155.65034 Dokl. Math. 77, No. 3, 404-406 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 4, 439-441 (2008). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65F30 PDFBibTeX XMLCite \textit{S. A. Goreinov}, Dokl. Math. 77, No. 3, 404--406 (2008; Zbl 1155.65034); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 420, No. 4, 439--441 (2008) Full Text: DOI
Beckermann, B.; Goreinov, S. A.; Tyrtyshnikov, E. E. Some remarks on the Elman estimate for GMRES. (English) Zbl 1101.65032 SIAM J. Matrix Anal. Appl. 27, No. 3, 772-778 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDFBibTeX XMLCite \textit{B. Beckermann} et al., SIAM J. Matrix Anal. Appl. 27, No. 3, 772--778 (2006; Zbl 1101.65032) Full Text: DOI
Goreinov, S. A.; Tyrtyshnikov, E. E. The maximal-volume concept in approximation by low-rank matrices. (English) Zbl 1003.15025 Olshevsky, Vadim (ed.), Structured matrices in mathematics, computer science, and engineering I. Proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27-July 1, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 280, 47-51 (2001). MSC: 15A60 41A35 PDFBibTeX XMLCite \textit{S. A. Goreinov} and \textit{E. E. Tyrtyshnikov}, Contemp. Math. 280, 47--51 (2001; Zbl 1003.15025)
Goreinov, S. A.; Zamarashkin, N. L.; Tyrtyshnikov, E. E. Pseudo-skeleton approximations by matrices of maximal volume. (English. Russian original) Zbl 0916.65040 Math. Notes 62, No. 4, 515-519 (1997); translation from Mat. Zametki 62, No. 4, 619-623 (1997). MSC: 65F30 PDFBibTeX XMLCite \textit{S. A. Goreinov} et al., Math. Notes 62, No. 4, 515--519 (1997; Zbl 0916.65040); translation from Mat. Zametki 62, No. 4, 619--623 (1997) Full Text: DOI
Goreinov, S. A.; Tyrtyshnikov, E. E.; Yeremin, A. Yu. Matrix-free iterative solution strategies for large dense linear systems. (English) Zbl 0889.65031 Numer. Linear Algebra Appl. 4, No. 4, 273-294 (1997). MSC: 65F10 65N38 PDFBibTeX XMLCite \textit{S. A. Goreinov} et al., Numer. Linear Algebra Appl. 4, No. 4, 273--294 (1997; Zbl 0889.65031) Full Text: DOI
Goreinov, S. A.; Tyrtyshnikov, E. E.; Zamarashkin, N. L. A theory of pseudoskeleton approximations. (English) Zbl 0877.65021 Linear Algebra Appl. 261, 1-21 (1997). Reviewer: A.Meister (Hamburg) MSC: 65F30 PDFBibTeX XMLCite \textit{S. A. Goreinov} et al., Linear Algebra Appl. 261, 1--21 (1997; Zbl 0877.65021) Full Text: DOI
Goreinov, S. A.; Zamarashkin, N. L.; Tyrtyshnikov, E. E. Pseudoskeleton approximations of matrices. (English. Russian original) Zbl 0875.15004 Dokl. Math. 52, No. 1, 18-19 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 2, 151-152 (1995). MSC: 15A45 65F30 PDFBibTeX XMLCite \textit{S. A. Goreinov} et al., Dokl. Math. 52, No. 1, 18--19 (1995; Zbl 0875.15004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No. 2, 151--152 (1995)