Ivanitskiy, A. Y.; Ejov, V. V.; Vasilyev, F. P. Pointwise residual method for solving primal and dual ill-posed linear programming problems with approximate data. (English) Zbl 1465.90042 ANZIAM J. 62, No. 3, 302-317 (2020). MSC: 90C05 PDFBibTeX XMLCite \textit{A. Y. Ivanitskiy} et al., ANZIAM J. 62, No. 3, 302--317 (2020; Zbl 1465.90042) Full Text: DOI
Artem’eva, L. A.; Vasil’ev, F. P.; Potapov, M. M. Extragradient method for correction of inconsistent linear programming problems. (English. Russian original) Zbl 1414.90207 Comput. Math. Math. Phys. 58, No. 12, 1919-1925 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 1992-1998 (2018). MSC: 90C05 90C46 90C52 PDFBibTeX XMLCite \textit{L. A. Artem'eva} et al., Comput. Math. Math. Phys. 58, No. 12, 1919--1925 (2018; Zbl 1414.90207); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 1992--1998 (2018) Full Text: DOI
Vasil’ev, F. P.; Antipin, A. S.; Artem’eva, L. A. Extragradient method for finding a saddle point in a multicriteria problem with dynamics. (English. Russian original) Zbl 1373.49027 Proc. Steklov Inst. Math. 297, Suppl. 1, S203-S210 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 2, 71-78 (2016). MSC: 49K40 90C29 93C05 34H05 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., Proc. Steklov Inst. Math. 297, S203--S210 (2017; Zbl 1373.49027); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 2, 71--78 (2016) Full Text: DOI
Vasil’ev, F. P.; Ivanitskiĭ, A. Yu. Linear programming. 3rd ed. (Линейное программирование.) (Russian) Zbl 1200.90004 Moscow: Faktorial Press (ISBN 978-5-88688-092-2). 347 p. (2008). MSC: 90-01 90C05 90C08 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} and \textit{A. Yu. Ivanitskiĭ}, Линейное программирование (Russian). 3rd ed. Moscow: Faktorial Press (2008; Zbl 1200.90004)
Antipin, A. S.; Vasil’ev, F. P. Regularization methods for solving unstable equilibrium programming problems with coupled constraints. (Russian, English) Zbl 1114.90150 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 27-40 (2005); translation in Comput. Math. Math. Phys. 45, No. 1, 23-36 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 90C47 65F22 90C33 65K05 91A06 91B50 PDFBibTeX XMLCite \textit{A. S. Antipin} and \textit{F. P. Vasil'ev}, Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 27--40 (2005; Zbl 1114.90150); translation in Comput. Math. Math. Phys. 45, No. 1, 23--36 (2005)
Vasil’ev, F. P.; Stukalov, A. S. Approximation of an equilibrium problem with respect to the argument. (Russian, English) Zbl 1072.91002 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1972-1982 (2004); translation in Comput. Math. Math. Phys. 44, No. 11, 1875-1884 (2004). Reviewer: Evgenij Nechaev (Moskva) MSC: 91A10 49K40 90C31 90C47 91A05 91A23 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} and \textit{A. S. Stukalov}, Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 1972--1982 (2004; Zbl 1072.91002); translation in Comput. Math. Math. Phys. 44, No. 11, 1875--1884 (2004)
Vasil’ev, F. P.; Ivanitskiĭ, A. Yu. Linear programming. 2nd ed. (Линейное программирование.) (Russian) Zbl 1200.90003 Seriya “XX Vek. Matematika i Mekhanika”. Moscow: Faktorial Press (ISBN 5-88688-062-3). 348 p. (2003). Reviewer: K. Zimmermann (MR 2094318) MSC: 90-01 90C05 90C08 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} and \textit{A. Yu. Ivanitskiĭ}, Линейное программирование (Russian). 2nd ed. Moscow: Faktorial Press (2003; Zbl 1200.90003)
Antipin, A. S.; Vasil’ev, F. P.; Shpirko, S. V. A regularized extra-gradient method for solving the equilibrium programming problems. (Russian, English) Zbl 1083.47502 Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1451-1458 (2003); translation in Comput. Math. Math. Phys. 43, No. 10, 1391-1393 (2003). Reviewer: Andrei Zemskov (Moskva) MSC: 47A52 68N19 68Q25 90C52 PDFBibTeX XMLCite \textit{A. S. Antipin} et al., Zh. Vychisl. Mat. Mat. Fiz. 43, No. 10, 1451--1458 (2003; Zbl 1083.47502); translation in Comput. Math. Math. Phys. 43, No. 10, 1391--1393 (2003)
Vasil’ev, F. P. On the stability of regularization methods in linear programming. (English. Russian original) Zbl 1078.90556 Mosc. Univ. Comput. Math. Cybern. 1998, No. 4, 30-36 (1998); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 4, 19-23 (1998). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 90C05 90C31 65K05 PDFBibTeX XML
Vasil’ev, F. P. Stability criteria for a general linear programming problem. (English. Russian original) Zbl 0997.90044 Mosc. Univ. Comput. Math. Cybern. 1998, No. 2, 24-29 (1998); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 2, 17-21 (1998). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 90C05 65K05 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Mosc. Univ. Comput. Math. Cybern. 1998, No. 2, 1 (1998; Zbl 0997.90044); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 2, 17--21 (1998)
Vasil’ev, F. P.; Ivanitskii, A. Yu.; Morozov, V. A. Pointwise residual method as applied to some problems of linear algebra and linear programming. (English. Russian original) Zbl 0966.90047 Comput. Math. Math. Phys. 38, No. 7, 1090-1102 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 7, 1140-1152 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 90C05 65F35 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., Comput. Math. Math. Phys. 38, No. 7, 1090--1102 (1998; Zbl 0966.90047); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 7, 1140--1152 (1998)
Vasilyev, F. P.; Ivanitsky, A. Yu.; Jaćimović, M. Pointwise residual method for solving linear lexicographical problems. (English) Zbl 1044.90520 Math. Montisnigri 8, 217-229 (1997). Reviewer: Nenad Mladenović (Beograd) MSC: 90C20 65K05 PDFBibTeX XMLCite \textit{F. P. Vasilyev} et al., Math. Montisnigri 8, 217--229 (1997; Zbl 1044.90520)
Vasil’ev, F. P.; Yachimovich, M. Discrepancy method for the lexicographic linear programming problem. (English. Russian original) Zbl 1331.90039 Comput. Math. Model. 6, No. 1, 31-38 (1995); translation from Matematicheskoe modelirovanie i reshenie obratnykh zadach matematicheskoĭ fiziki, Moscow University Press, Moscow, 1993, 82-92 (1993). MSC: 90C05 90C47 49J35 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} and \textit{M. Yachimovich}, Comput. Math. Model. 6, No. 1, 31--38 (1995; Zbl 1331.90039); translation from Matematicheskoe modelirovanie i reshenie obratnykh zadach matematicheskoĭ fiziki, Moscow University Press, Moscow, 1993, 82--92 (1993) Full Text: DOI
Vasil’ev, F. P.; Morozov, V. V.; Yachimovich, M. The stabilization method for the lexicographical linear programming problem. (Russian) Zbl 0777.90054 Vestn. Mosk. Univ., Ser. XV 1992, No. 4, 15-21 (1992). Reviewer: L.Grygarova (Praha) MSC: 90C29 90C31 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., Vestn. Mosk. Univ., Ser. XV 1992, No. 4, 15--21 (1992; Zbl 0777.90054)
Ivanitskii, A. Yu.; Vasil’ev, F. P.; Morozov, V. A. Pointwise residual method for solving systems of linear algebraic equations and inequalities. (English) Zbl 0785.65075 Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 33-43 (1992). MSC: 65K05 90C05 PDFBibTeX XMLCite \textit{A. Yu. Ivanitskii} et al., in: Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP; Moscow: TVP Science Publishers. 33--43 (1992; Zbl 0785.65075)
Vasil’ev, F. P.; Morozov, V. V.; Yachimovich, M. Stabilization method for a lexicographic linear programming problem. (English. Russian original) Zbl 0790.90059 Mosc. Univ. Comput. Math. Cybern. 47, No. 4, 11-16 (1992); translation from Vestn. Mosk. Univ., Ser. XV 1992, No. 4, 15-21 (1992). MSC: 90C29 90C31 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., Mosc. Univ. Comput. Math. Cybern. 1992, No. 4, 11--16 (1992; Zbl 0790.90059); translation from Vestn. Mosk. Univ., Ser. XV 1992, No. 4, 15--21 (1992)
Aliakbarov, S. M.; Vasil’ev, F. P. Dynamic programming method for a standardization problem with a piecewise-linear objective function. (English. Russian original) Zbl 0785.90093 Comput. Math. Math. Phys. 31, No. 12, 7-15 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 12, 1772-1782 (1991). MSC: 90C39 PDFBibTeX XMLCite \textit{S. M. Aliakbarov} and \textit{F. P. Vasil'ev}, Comput. Math. Math. Phys. 31, No. 12, 7--15 (1991; Zbl 0785.90093); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 12, 1772--1782 (1991)
Vasil’ev, F. P.; Morozov, V. V.; Yachimovich, M. The method of quasisolutions for the lexicographic problem of linear programming. (Russian) Zbl 0791.90034 Bakhvalov, N. S. (ed.) et al., Numerical analysis: methods, algorithms, programs. Moskva: Izdatel’stvo Moskovskogo Universiteta. 88-96 (1991). MSC: 90C05 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., in: Chislennyj analiz: metody, algoritmy, programmy. Moskva: Izdatel'stvo Moskovskogo Universiteta. 88--96 (1991; Zbl 0791.90034)
Aliakbarov, S. M.; Vasil’ev, F. P. Method of dynamic programming for a problem of standardization type with piecewise linear goal function. (Russian) Zbl 0758.90077 Zh. Vychisl. Mat. Mat. Fiz. 31, No. 12, 1772-1782 (1991). Reviewer: L.E.Faibusovich (Cambridge / Mass.) MSC: 90C39 PDFBibTeX XMLCite \textit{S. M. Aliakbarov} and \textit{F. P. Vasil'ev}, Zh. Vychisl. Mat. Mat. Fiz. 31, No. 12, 1772--1782 (1991; Zbl 0758.90077)
Vasil’ev, F. P. An estimate of the convergence rate for the linear programming quasisolution method. (English. Russian original) Zbl 0733.90045 Mosc. Univ. Comput. Math. Cybern. 1991, No. 1, 15-20 (1991); translation from Vestn. Mosk. Univ., Ser. XV 1991, No. 1, 16-22 (1991). Reviewer: M.Todorov (Plovdiv) MSC: 90C05 90-08 65K05 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Mosc. Univ. Comput. Math. Cybern. 1991, No. 1, 15--20 (1991; Zbl 0733.90045); translation from Vestn. Mosk. Univ., Ser. XV 1991, No. 1, 16--22 (1991)
Vasil’ev, F. P.; Ivanitskij, A. Yu.; Morozov, V. A. An estimate of the rate of convergence of the discrepancy method for a linear programming problem with approximate data. (English. Russian original) Zbl 0738.90054 U.S.S.R. Comput. Math. Math. Phys. 30, No. 4, 204-208 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 8, 1257-1262 (1990). MSC: 90C05 90-08 65G30 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., U.S.S.R. Comput. Math. Math. Phys. 30, No. 4, 204--208 (1990; Zbl 0738.90054); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 8, 1257--1262 (1990) Full Text: DOI
Vasil’ev, F. P.; Potapov, M. M.; Chekanov, Yu. N. Estimation of the convergence rate of Tikhonov’s regularization method for a linear programming problem. (English. Russian original) Zbl 0719.65050 Comput. Math. Model. 1, No. 3, 283-287 (1990); translation from Mathematical models and numerical methods, Work Collect., Moskva 1987, 21-27 (1987). MSC: 65K05 90C05 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., Comput. Math. Model. 1, No. 3, 283--287 (1990; Zbl 0719.65050); translation from Mathematical models and numerical methods, Work Collect., Moskva 1987, 21--27 (1987) Full Text: DOI
Vasil’ev, F. P.; Ivanitskij, A. Yu.; Morozov, V. A. Estimate of the rate of convergence of the discrepancy method for linear programming problems with approximate data. (Russian) Zbl 0718.90062 Zh. Vychisl. Mat. Mat. Fiz. 30, No. 8, 1257-1262 (1990). Reviewer: T.Rapcsák (Budapest) MSC: 90C05 90-08 65G30 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., Zh. Vychisl. Mat. Mat. Fiz. 30, No. 8, 1257--1262 (1990; Zbl 0718.90062)
Vasil’ev, F. P.; Morozov, V. V.; Yachimovich, M. Estimate of the rate of convergence of the regularization method for solving the linear programming problem. (English. Russian original) Zbl 0702.90052 U.S.S.R. Comput. Math. Math. Phys. 29, No. 2, 216-219 (1989); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 4, 631-635 (1989). MSC: 90C05 90-08 PDFBibTeX XMLCite \textit{F. P. Vasil'ev} et al., U.S.S.R. Comput. Math. Math. Phys. 29, No. 2, 216--219 (1989; Zbl 0702.90052); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 4, 631--635 (1989) Full Text: DOI
Vasil’ev, F. P. A residual method for solving unstable minimization problems. (English. Russian original) Zbl 0665.49005 Mosc. Univ. Comput. Math. Cybern. 1987, No. 4, 1-6 (1987). MSC: 49J27 49J45 90C48 46B99 49K40 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Mosc. Univ. Comput. Math. Cybern. 1987, No. 4, 1--6 (1987; Zbl 0665.49005)
Vasil’ev, F. P.; Potapov, M. M.; Chekanov, Yu. N. Estimation of the convergence rate of Tikhonov’s regularization method for a linear programming problem. (Russian) Zbl 0645.65031 Mathematical models and numerical methods, Work Collect., Moskva 1987, 21-27 (1987). Reviewer: S.Grzegórski MSC: 65K05 90C05 PDFBibTeX XML
Vasil’ev, F. P. A residual method for solving unstable minimization problems. (Russian) Zbl 0639.49008 Vestn. Mosk. Univ., Ser. XV 1987, No. 4, 6-10 (1987). Reviewer: Shouchuan Hu (Springfield) MSC: 49J27 49J45 90C48 46B99 49K40 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Vestn. Mosk. Univ., Ser. XV 1987, No. 4, 6--10 (1987; Zbl 0639.49008)
Vasil’ev, F. P.; Kovacs, M. On the regularization of ill-posed extremal problems using a general penalty function. (Russian) Zbl 0443.90110 Problems of numerical mathematics and systems programming, Work Collect., Budapest 1980, 19-41 (1980). MSC: 90C48 46A99 49M30 PDFBibTeX XML
Vasil’ev, F. P. On the regularization of ill-posed extremal problems. (English. Russian original) Zbl 0423.90059 Sov. Math., Dokl. 19, 933-937 (1978); translation from Dokl. Akad. Nauk SSSR 241, 1001-1004 (1978). MSC: 90C20 90C05 49M30 65K05 PDFBibTeX XMLCite \textit{F. P. Vasil'ev}, Sov. Math., Dokl. 19, 933--937 (1978; Zbl 0423.90059); translation from Dokl. Akad. Nauk SSSR 241, 1001--1004 (1978)