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Found 121 Documents (Results 1–100)

Method for false extrema localization in global optimization. (English. Russian original) Zbl 07786648

Dokl. Math. 108, No. 1, 309-311 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 78-80 (2023).
MSC:  90Cxx 49Mxx 65Kxx
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Degenerate equality constrained optimization problems and P-regularity theory. (English) Zbl 1528.90274

Olenev, Nicholas (ed.) et al., Optimization and applications. 13th international conference, OPTIMA 2022, Petrovac, Montenegro, September 26–30, 2022. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13781, 18-33 (2023).
MSC:  90C46 90C30 49K27
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Optimization and applications. 13th international conference, OPTIMA 2022, Petrovac, Montenegro, September 26–30, 2022. Revised selected papers. (English) Zbl 1516.90004

Lecture Notes in Computer Science 13781. Cham: Springer (ISBN 978-3-031-22542-0/pbk; 978-3-031-22543-7/ebook). xvi, 251 p. (2023).
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Advances in optimization and applications. 13th international conference, OPTIMA 2022, Petrovac, Montenegro, September 26–30, 2022. Revised selected papers. (English) Zbl 1515.90010

Communications in Computer and Information Science 1739. Cham: Springer (ISBN 978-3-031-22989-3/pbk; 978-3-031-22990-9/ebook). xiii, 197 p. (2022).
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Advances in optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Revised selected papers. (English) Zbl 1496.90007

Communications in Computer and Information Science 1514. Cham: Springer (ISBN 978-3-030-92710-3/pbk; 978-3-030-92711-0/ebook). xii, 287 p. (2021).
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Optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Proceedings. (English) Zbl 1508.90001

Lecture Notes in Computer Science 13078. Cham: Springer (ISBN 978-3-030-91058-7/pbk; 978-3-030-91059-4/ebook). xxi, 365 p. (2021).
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Some properties of smooth convex functions and Newton’s method. (English. Russian original) Zbl 1480.90192

Dokl. Math. 103, No. 2, 76-80 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 12-17 (2021).
MSC:  90C25 90C53
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Advances in optimization and applications. 11th international conference, OPTIMA 2020, Moscow, Russia, September 28 – October 2, 2020. Revised selected papers. (English) Zbl 1515.90011

Communications in Computer and Information Science 1340. Cham: Springer (ISBN 978-3-030-65738-3/pbk; 978-3-030-65739-0/ebook). xxii, 251 p. (2020).
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\(P\)-regularity theory: applications to optimization. (English) Zbl 1516.90097

Olenev, Nicholas (ed.) et al., Optimization and applications. 11th international conference, OPTIMA 2020, Moscow, Russia, September 28 – October 2, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12422, 97-109 (2020).
MSC:  90C30
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\(p\)-regularity theory and nonlinear optimization problems. (English) Zbl 1485.49025

Jaćimović, Milojica (ed.) et al., Optimization and applications. 10th international conference, OPTIMA 2019, Petrovac, Montenegro, September 30 – October 4, 2019. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1145, 237-253 (2020).
MSC:  49K15 90C30
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Optimization and applications. 11th international conference, OPTIMA 2020, Moscow, Russia, September 28 – October 2, 2020. Proceedings. (English) Zbl 1503.90001

Lecture Notes in Computer Science 12422. Cham: Springer (ISBN 978-3-030-62866-6/pbk; 978-3-030-62867-3/ebook). xiv, 331 p. (2020).
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A new view of some fundamental results in optimization. (English. Russian original) Zbl 1496.90093

Comput. Math. Math. Phys. 60, No. 9, 1412-1421 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 9, 1462-1471 (2020).
MSC:  90C30
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New perspective on slack variables applications to singular optimization problems. (English) Zbl 1468.90127

Evtushenko, Yury (ed.) et al., Optimization and applications. 9th international conference, OPTIMA 2018, Petrovac, Montenegro, October 1–5, 2018. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 974, 3-20 (2019).
MSC:  90C30
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Optimization and applications. 9th international conference, OPTIMA 2018, Petrovac, Montenegro, October 1–5, 2018. Revised selected papers. (English) Zbl 1460.90004

Communications in Computer and Information Science 974. Cham: Springer (ISBN 978-3-030-10933-2/pbk; 978-3-030-10934-9/ebook). xx, 528 p. (2019).
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Newton-type method for solving systems of linear equations and inequalities. (English. Russian original) Zbl 1451.65029

Comput. Math. Math. Phys. 59, No. 12, 2017-2032 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 12, 2086-2101 (2019).
MSC:  65F10 65K05
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Constructive generalization of classical sufficient second-order optimality conditions. (English. Russian original) Zbl 1434.90196

Dokl. Math. 100, No. 1, 372-373 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 493-495 (2019).
MSC:  90C30 90C46
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An approach to determining the variation of a functional with singularities. (English. Russian original) Zbl 07139674

Comput. Math. Math. Phys. 59, No. 8, 1215-1232 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1277-1295 (2019).
MSC:  65-XX 90-XX
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New approach to Farkas’ theorem of the alternative. (English. Russian original) Zbl 1428.46002

Dokl. Math. 99, No. 2, 208-210 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 655-658 (2019).
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2-factor Newton method for solving constrained optimization problems with a degenerate Kuhn-Tucker system. (English. Russian original) Zbl 1418.90281

Dokl. Math. 99, No. 2, 129-131 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 1, 19-21 (2019).
MSC:  90C46
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A new proof of the Kuhn-Tucker and Farkas theorems. (English. Russian original) Zbl 1408.46069

Comput. Math. Math. Phys. 58, No. 7, 1035-1039 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 7 (2018).
Reviewer: Rita Pini (Milano)
MSC:  46N10 90C30 90C46
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Projective-dual method for solving systems of linear equations with nonnegative variables. (English. Russian original) Zbl 06892369

Comput. Math. Math. Phys. 58, No. 2, 159-169 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 2, 169-180 (2018).
MSC:  65-XX 90-XX
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A new class of theorems of the alternative. (English. Russian original) Zbl 1396.90043

Proc. Steklov Inst. Math. 299, Suppl. 1, S31-S36 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 3, 44-49 (2016).
MSC:  90C05 90C46
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Finding sets of solutions to systems of nonlinear inequalities. (English. Russian original) Zbl 1381.65044

Comput. Math. Math. Phys. 57, No. 8, 1241-1247 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 8, 1248-1254 (2017).
MSC:  65K05 90C30 70E60
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On an inverse linear programming problem. (English. Russian original) Zbl 1398.90094

Proc. Steklov Inst. Math. 295, Suppl. 1, S21-S27 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 3, 13-19 (2015).
MSC:  90C05 90C46 90C30
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Regularization and normal solutions of systems of linear equations and inequalities. (English. Russian original) Zbl 1335.90066

Proc. Steklov Inst. Math. 289, Suppl. 1, S102-S110 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 2, 113-121 (2014).
MSC:  90C25 90C20 90C46
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Method of non-uniform coverages to solve the multicriteria optimization problems with guaranteed accuracy. (English. Russian original) Zbl 1325.90080

Autom. Remote Control 75, No. 6, 1025-1040 (2014); translation from Avtom. Telemekh. 2014, No. 6, 49-68 (2014).
MSC:  90C29
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Generalized Newton method for linear optimization problems with inequality constraints. (English. Russian original) Zbl 1302.90123

Proc. Steklov Inst. Math. 284, Suppl. 1, S96-S107 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 2, 98-108 (2013).
MSC:  90C05 65K05
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Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy. (Russian, English) Zbl 1274.90344

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 2, 209-224 (2013); translation in Comput. Math. Math. Phys. 53, No. 2, 144-157 (2013).
MSC:  90C29
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A deterministic algorithm for global optimization. (English) Zbl 1412.90121

Ermoliev, Yuri (ed.) et al., Managing safety of heterogeneous systems. Decisions under uncertainties and risks. Contributions based on selected presentations at the 4th workshop on coping with uncertainty, CwU 2009, Laxenburg, Austria, December 14–16, 2009. Heidelberg: Springer. Lect. Notes Econ. Math. Syst. 658, 205-218 (2012).
MSC:  90C26
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An application of the nonuniform covering method to the global optimization of mixed integer nonlinear problems. (Russian, English) Zbl 1249.90204

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 8, 1376-1389 (2011); translation in Comput. Math. Math. Phys. 51, No. 8, 1286-1298 (2011).
MSC:  90C26 90C31
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Versions of the method of nonuniform coverings for global optimization of mixed integer nonlinear problems. (English. Russian original) Zbl 1244.90183

Dokl. Math. 83, No. 2, 268-271 (2011); translation from Dokl. Akad. Nauk 437, No. 2, 168-172 (2011).
MSC:  90C26 90C11
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Parallel implementation of Newton’s method for solving large scale linear programs. (Russian, English) Zbl 1183.90297

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 8, 1369-1384 (2009); translation in Comput. Math., Math. Phys. 49, No. 8, 1303-1317 (2009).
MSC:  90C05
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Finding the projection of a given point on the set of solutions of a linear programming problem. (English. Russian original) Zbl 1178.90264

Proc. Steklov Inst. Math. 263, Suppl. 2, 68-83 (2008); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 2, 33-47 (2008).
MSC:  90C20 90C05
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The 2-factor-method with a modified Lagrange function for degenerate constrained optimization problems. (English. Russian original) Zbl 1327.90302

Dokl. Math. 73, No. 3, 384-387 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 4, 439-442 (2006).
MSC:  90C30 65K05
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Numerical methods for separating two polyhedra. (English) Zbl 1108.90027

Di Pillo, Gianni (ed.) et al., Large-scale nonlinear optimization. Papers based on the presentation at the workshop on large scale nonlinear optimization, Erice, Italy, June 22–July 1, 2004. New York, NY: Springer (ISBN 0-387-30063-5/hbk). Nonconvex Optimization and Its Applications 83, 95-113 (2006).
MSC:  90C05
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On families of hyperplanes, which separate polyhedra. (Russian, English) Zbl 1100.14041

Zh. Vychisl. Mat. Mat. Fiz. 45, No. 2, 238-253 (2005); translation in Comput. Math. Math. Phys. 45, No. 2, 227-242 (2005).
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Application of Newton’s method for solving large linear programming problems. (Russian, English) Zbl 1136.90392

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 9, 1564-1573 (2004); translation in Comput. Math. Math. Phys. 44, No. 9, 1484-1493 (2004).
MSC:  90C05 90C06 90C55
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Applications of theorems of alternative to numerical methods. (English) Zbl 1274.90232

Mladenović, Nenad (ed.) et al., XXX Jugoslovenski simpozijum o operacionim istraživanjima, SYM-OP-IS 2003. Beograd: Matematički Institut SANU (ISBN 86-80593-33-8). 15-17 (2003).
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Theorems on alternatives and their applications to numerical methods. (Russian, English) Zbl 1105.49011

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 3, 354-375 (2003); translation in Comput. Math. Math. Phys. 43, No. 3, 338-358 (2003).
MSC:  49J35 49J40 90C47 65F30 90C30
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New perspective on the theorems of alternative. (English) Zbl 1044.90088

Di Pillo, Gianni (ed.) et al., High performance algorithms and software for nonlinear optimization. Selected lectures presented at the workshop, Erice, Italy, June 30 –July 8, 2001. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7532-4/hbk). Appl. Optim. 82, 227-241 (2003).
MSC:  90C46
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Two parametric families of LP problems and their applications. (English) Zbl 1119.90326

Eremin, I. I. (ed.), Mathematical programming, regularization and approximation. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2002, Suppl. 1, S52-S66 (2002).
MSC:  90C05
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A new method for solving systems of linear equalities and inequalities. (English. Russian original) Zbl 1090.90537

Dokl. Math. 64, No. 3, 370-373 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 4, 444-447 (2001).
MSC:  90C08 15A06 65F05
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Application of theorems on alternatives to the determination of normal solutions of linear systems. (English. Russian original) Zbl 1039.90040

Russ. Math. 45, No. 12, 18-28 (2001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 12, 21-31 (2001).
MSC:  90C08 90C46
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Search for normal solutions in linear programming problems. (English. Russian original) Zbl 1030.90052

Comput. Math. Math. Phys. 40, No. 12, 1694-1714 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 12, 1766-1786 (2000).
MSC:  90C05 90C08
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Numerical optimization of solutions to Burgers problem by means of boundary conditions. (English. Russian original) Zbl 0947.90123

Comput. Math. Math. Phys. 37, No. 12, 1406-1414 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 12, 1449-1458 (1997).
MSC:  90C52 65K05 76M30
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Dual barrier-projection and barrier-Newton methods for linear programming problems. (English. Russian original) Zbl 1161.90435

Comput. Math. Math. Phys. 36, No. 7, 847-859 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 7, 30-45 (1996).
MSC:  90C05
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Space-transformation technique: The state of the art. (English) Zbl 0976.90103

Di Pillo, Gianni (ed.) et al., Nonlinear optimization and applications. Proceedings of the 21st workshop, Erice, Italy, June 13-21, 1995. New York, NY: Plenum Press. 101-123 (1996).
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Letter to the editor: Concerning some publications on internal point methods. (English. Russian original) Zbl 0917.90244

Comput. Math. Math. Phys. 36, No. 12, 1777-1778 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 12, 161-162 (1996).
MSC:  90C05
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Deterministic global optimization. (English) Zbl 0829.90113

Spedicato, Emilio (ed.), Algorithms for continuous optimization: the state of the art. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Barga, Italy, September 5-18, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 434, 481-500 (1994).
MSC:  90C30 90C29 90-08
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Stable barrier-projection and Barrier-Newton methods for linear and nonlinear programming. (English) Zbl 0828.90122

Spedicato, Emilio (ed.), Algorithms for continuous optimization: the state of the art. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Barga, Italy, September 5-18, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 434, 255-285 (1994).
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The space transformation technique in mathematical programming. (English) Zbl 0787.90090

Kall, Peter (ed.), System modelling and optimization. Proceedings of the 15th IFIP conference, Zurich, Switzerland, September 2-6, 1991. Berlin: Springer-Verlag. Lect. Notes Control Inf. Sci. 180, 292-300 (1992).
MSC:  90C30 90C05 90-08
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Exact auxiliary functions in optimization problems. (English. Russian original) Zbl 0719.90067

U.S.S.R. Comput. Math. Math. Phys. 30, No. 1, 31-42 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 1, 43-57 (1990).
MSC:  90C30 49M30 65K05
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Problems in systematization of numerical methods for nonlinear programming. (K voprosu o sistematizatsii chislennykh metodov nelinejnogo programmirovaniya. Metody posledovatel’noj bezuslovnoj minimizatsii.) (Russian) Zbl 1092.90537

Soobshcheniya po Prikladnoĭ Matematike. Moskva: Vychislitel’nyĭ Tsentr AN SSSR. 66 p. (1988).
MSC:  90C30
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The method of half-divisions for global optimization of a function of many variables. (English. Russian original) Zbl 0654.90079

Sov. J. Comput. Syst. Sci. 25, No. 5, 75-84 (1987); translation from Izv. Akad. Nauk SSSR, Tekh. Kibern. 1987, No. 1, 119-127 (1987).
MSC:  90C30 65K05
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A relaxation method for solving problems of non-linear programming. (English. Russian original) Zbl 0397.90089

U.S.S.R. Comput. Math. Math. Phys. 17(1977), No. 4, 73-87 (1978); translation from Zh. Vychisl. Mat. Mat. Fiz. 17, 890-904 (1977).
MSC:  90C30 41A25 65K05
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