Il’in, V. P. Conjugate and semi-conjugate direction methods with preconditioning projectors. (English) Zbl 1215.65058 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). 257-265 (2010). MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{V. P. Il'in}, 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. 257--265 (2010; Zbl 1215.65058)
Il’in, V. P.; Itskovich, E. A. On the semi-conjugate direction methods with dynamic preconditioning. (Russian, English) Zbl 1224.65087 Sib. Zh. Ind. Mat. 10, No. 4, 41-54 (2007); translation in J. Appl. Ind. Math. 3, No. 2, 222-233 (2009). MSC: 65F10 65F08 65N06 35J25 PDFBibTeX XMLCite \textit{V. P. Il'in} and \textit{E. A. Itskovich}, Sib. Zh. Ind. Mat. 10, No. 4, 41--54 (2007; Zbl 1224.65087); translation in J. Appl. Ind. Math. 3, No. 2, 222--233 (2009) Full Text: DOI
Larin, M.; Il’in, Valeriĭ Pavlovich Variable-step preconditioned conjugate gradient method for partial symmetric eigenvalue problems. (English) Zbl 1078.65030 Russ. J. Numer. Anal. Math. Model. 20, No. 2, 161-184 (2005). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F15 65F35 PDFBibTeX XMLCite \textit{M. Larin} and \textit{V. P. Il'in}, Russ. J. Numer. Anal. Math. Model. 20, No. 2, 161--184 (2005; Zbl 1078.65030) Full Text: DOI
Axelsson, O.; Gurieva, Y. L.; Il’in, V. P. On the solution of algebraic systems for serendipity FEM. (English) Zbl 0985.65147 Russ. J. Numer. Anal. Math. Model. 16, No. 3, 191-214 (2001). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{O. Axelsson} et al., Russ. J. Numer. Anal. Math. Model. 16, No. 3, 191--214 (2001; Zbl 0985.65147) Full Text: DOI
Ilin, Andrew; Bagheri, Babak; Scott, L. Ridgway; McCammon, J. Andrew; Il’in, Valery P. Parallelizing of preconditioned conjugate gradients for Poisson-Boltzmann calculation. (English) Zbl 0925.65062 Z. Angew. Math. Mech. 76, Suppl. 1, 429-430 (1996). MSC: 65F10 65Y05 65F35 35J05 65N06 PDFBibTeX XMLCite \textit{A. Ilin} et al., Z. Angew. Math. Mech. 76, 429--430 (1996; Zbl 0925.65062) Full Text: DOI
Il’in, V. P.; Livshits, I. Z. A symmetrized Stone’s method. (English. Russian original) Zbl 0832.65030 Comput. Math. Math. Phys. 34, No. 11, 1341-1348 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 11, 1558-1566 (1994). MSC: 65F10 65N06 35J05 PDFBibTeX XMLCite \textit{V. P. Il'in} and \textit{I. Z. Livshits}, Comput. Math. Math. Phys. 34, No. 11, 1341--1348 (1994; Zbl 0832.65030); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 11, 1558--1566 (1994)
Il’in, V. P. The rate of convergence of iterations of implicit incomplete factorization methods. (English. Russian original) Zbl 0795.65017 Comput. Math. Math. Phys. 33, No. 1, 1-7 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 1, 3-11 (1993). Reviewer: R.Lamour (Berlin) MSC: 65F10 65N22 65N06 65N30 35J25 PDFBibTeX XMLCite \textit{V. P. Il'in}, Comput. Math. Math. Phys. 33, No. 1, 3--11 (1993; Zbl 0795.65017); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 1, 3--11 (1993)
Il’in, V. P.; Radionov, S. S. On iterative solving of linear algebraic equations in \(p\)-\(h\)-versions of finite element methods. (English) Zbl 0906.65035 Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 1993, No. 2, 19-35 (1993). Reviewer: V.I.Pinchukov (Novosibirsk) MSC: 65F10 65N30 65F35 35J25 PDFBibTeX XMLCite \textit{V. P. Il'in} and \textit{S. S. Radionov}, Bull. Novosib. Comput. Cent., Ser. Numer. Anal. 1993, No. 2, 19--35 (1993; Zbl 0906.65035)
Il’in, V. P. Application of incomplete factorizations in domain decomposition methods. (English) Zbl 0816.65098 Sov. J. Numer. Anal. Math. Model. 6, No. 4, 299-314 (1991). MSC: 65N55 65F10 65N06 35J25 PDFBibTeX XMLCite \textit{V. P. Il'in}, Sov. J. Numer. Anal. Math. Model. 6, No. 4, 299--314 (1991; Zbl 0816.65098)
Il’in, V. P. On incomplete factorization methods for solving parabolic equations. (English. Russian original) Zbl 0768.65052 Sov. Math., Dokl. 43, No. 3, 915-918 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 6, 1304-1308 (1991). Reviewer: G.Hedstrom (Livermore) MSC: 65M06 65F10 65F35 65M15 35K15 PDFBibTeX XMLCite \textit{V. P. Il'in}, Sov. Math., Dokl. 43, No. 3, 915--918 (1991; Zbl 0768.65052); translation from Dokl. Akad. Nauk SSSR 318, No. 6, 1304--1308 (1991)
Il’in, V. P. On the rate of convergence of iterative methods of incomplete factorization. (English. Russian original) Zbl 0668.65030 Sov. Math., Dokl. 38, No. 1, 102-105 (1989); Translation from Dokl. Akad. Nauk SSSR 301, No. 3, 533-536 (1988). Reviewer: H.Hollatz MSC: 65F10 65N22 PDFBibTeX XMLCite \textit{V. P. Il'in}, Sov. Math., Dokl. 38, No. 1, 102--105 (1989; Zbl 0668.65030)
Il’in, V. P. On incomplete factorization methods for block tridiagonal linear systems of equations. (English) Zbl 0555.65022 Numerical problems, France-Italy-URSS 6th Joint Symp., INRIA, Rocquencourt/France 1983, 40-51 (1984). MSC: 65F10 65F05 PDFBibTeX XML
Axelsson, O.; Brinkkemper, S.; Il’in, V. P. On some versions of incomplete block-matrix factorization iterative methods. (English) Zbl 0548.65016 Linear Algebra Appl. 58, 3-15 (1984). Reviewer: R.P.Tewarson MSC: 65F10 PDFBibTeX XMLCite \textit{O. Axelsson} et al., Linear Algebra Appl. 58, 3--15 (1984; Zbl 0548.65016) Full Text: DOI