Shcherbakova, E. M.; Tyrtyshnikov, E. E. Fast nonnegative tensor factorizations with tensor train model. (English) Zbl 1502.65023 Lobachevskii J. Math. 43, No. 4, 882-894 (2022). MSC: 65F99 15A69 PDFBibTeX XMLCite \textit{E. M. Shcherbakova} and \textit{E. E. Tyrtyshnikov}, Lobachevskii J. Math. 43, No. 4, 882--894 (2022; Zbl 1502.65023) Full Text: DOI
Matveev, S. A.; Smirnov, A. P.; Timokhin, I. V.; Tyrtyshnikov, E. E. Common structure of reduced bases for aggregation kinetics problems of varying dimensionality. (English. Russian original) Zbl 07538077 Comput. Math. Math. Phys. 62, No. 4, 538-547 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 553-563 (2022). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{S. A. Matveev} et al., Comput. Math. Math. Phys. 62, No. 4, 538--547 (2022; Zbl 07538077); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 553--563 (2022) Full Text: DOI
Botchev, Mike A.; Knizhnerman, Leonid; Tyrtyshnikov, Eugene E. Residual and restarting in Krylov subspace evaluation of the \(\varphi\) function. (English) Zbl 1491.65032 SIAM J. Sci. Comput. 43, No. 6, A3733-A3759 (2021). MSC: 65F60 15A16 65L05 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., SIAM J. Sci. Comput. 43, No. 6, A3733--A3759 (2021; Zbl 1491.65032) Full Text: DOI arXiv
Zamarashkin, N. L.; Oseledets, I. V.; Tyrtyshnikov, E. E. New applications of matrix methods. (English. Russian original) Zbl 1469.65083 Comput. Math. Math. Phys. 61, No. 5, 669-673 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 691-695 (2021). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{N. L. Zamarashkin} et al., Comput. Math. Math. Phys. 61, No. 5, 669--673 (2021; Zbl 1469.65083); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 691--695 (2021) Full Text: DOI
Zheltkov, Dmitry; Tyrtyshnikov, Eugene Global optimization based on TT-decomposition. (English) Zbl 1514.90195 Russ. J. Numer. Anal. Math. Model. 35, No. 4, 247-261 (2020). MSC: 90C26 15A69 PDFBibTeX XMLCite \textit{D. Zheltkov} and \textit{E. Tyrtyshnikov}, Russ. J. Numer. Anal. Math. Model. 35, No. 4, 247--261 (2020; Zbl 1514.90195) Full Text: DOI
Tretyakov, Alexey; Tyrtyshnikov, Eugene; Ustimenko, Alexey On matrix subspaces with trivial quadratic kernels. (English) Zbl 07215835 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, 81-90 (2019). MSC: 65Jxx 47Jxx PDFBibTeX XMLCite \textit{A. Tretyakov} et al., Springer INdAM Ser. 30, 81--90 (2019; Zbl 07215835) Full Text: DOI
Szczepanik, Ewa; Tret’yakov, Alexey A.; Tyrtyshnikov, Eugene E. Solution method for underdetermined systems of nonlinear equations. (English) Zbl 1418.65070 Russ. J. Numer. Anal. Math. Model. 34, No. 3, 163-174 (2019). MSC: 65H10 49M15 PDFBibTeX XMLCite \textit{E. Szczepanik} et al., Russ. J. Numer. Anal. Math. Model. 34, No. 3, 163--174 (2019; Zbl 1418.65070) Full Text: DOI
Tret’yakov, Aleksey; Tyrtyshnikov, Eugene; Ustimenko, Aleksey The triviality condition for kernels of quadratic mappings and its application in optimization methods. (English) Zbl 1371.65044 Russ. J. Numer. Anal. Math. Model. 32, No. 4, 267-274 (2017). MSC: 65H10 65F30 65K05 PDFBibTeX XMLCite \textit{A. Tret'yakov} et al., Russ. J. Numer. Anal. Math. Model. 32, No. 4, 267--274 (2017; Zbl 1371.65044) Full Text: DOI
Botchev, M. A.; Oseledets, I. V.; Tyrtyshnikov, E. E. Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. (English) Zbl 1368.65107 Comput. Math. Appl. 67, No. 12, 2088-2098 (2014). MSC: 65L05 65F30 65M20 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., Comput. Math. Appl. 67, No. 12, 2088--2098 (2014; Zbl 1368.65107) Full Text: DOI
Dolgov, S. V.; Smirnov, A. P.; Tyrtyshnikov, E. E. Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma. (English) Zbl 1349.76453 J. Comput. Phys. 263, 268-282 (2014). MSC: 76M20 82C80 65M06 76X05 82D10 86A25 PDFBibTeX XMLCite \textit{S. V. Dolgov} et al., J. Comput. Phys. 263, 268--282 (2014; Zbl 1349.76453) Full Text: DOI arXiv
Zamarashkin, N. L.; Tyrtyshnikov, E. E.; Chugunov, V. N. Functions generating normal Toeplitz matrices. (English. Russian original) Zbl 1232.42011 Math. Notes 89, No. 4, 480-483 (2011); translation from Mat. Zametki 89, No. 4, 241-245 (2011). Reviewer: Boris Rubin (Baton Rouge) MSC: 42B05 15B05 42A99 PDFBibTeX XMLCite \textit{N. L. Zamarashkin} et al., Math. Notes 89, No. 4, 480--483 (2011; Zbl 1232.42011); translation from Mat. Zametki 89, No. 4, 241--245 (2011) Full Text: DOI