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Publications in Math-Net.Ru |
Citations |
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2019 |
1. |
A. I. Golikov, Yu. G. Evtushenko, I. E. Kaporin, “Newton-type method for solving systems of linear equations and inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019), 2086–2101 ; Comput. Math. Math. Phys., 59:12 (2019), 2017–2032 |
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2018 |
2. |
B. V. Ganin, A. I. Golikov, Yu. G. Evtushenko, “Projective-dual method for solving systems of linear equations with nonnegative variables”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018), 169–180 ; Comput. Math. Math. Phys., 58:2 (2018), 159–169 |
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2016 |
3. |
A. I. Golikov, Yu. G. Evtushenko, “A new class of theorems of the alternative”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:3 (2016), 44–49 ; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 31–36 |
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2015 |
4. |
G. A. Amirkhanova, A. I. Golikov, Yu. G. Evtushenko, “On an inverse linear programming problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:3 (2015), 13–19 ; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 21–27 |
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2014 |
5. |
A. I. Golikov, Yu. G. Evtushenko, “Regularization and normal solutions of systems of linear equations and inequalities”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014), 113–121 ; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 102–110 |
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2013 |
6. |
A. I. Golikov, Yu. G. Evtushenko, “Generalized Newton method for linear optimization problems with inequality constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013), 98–108 ; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 96–107 |
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2011 |
7. |
A. S. Antipin, A. I. Golikov, E. V. Khoroshilova, “Sensitivity function: Properties and applications”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2126–2142 ; Comput. Math. Math. Phys., 51:12 (2011), 2000–2016 |
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2009 |
8. |
V. A. Garanzha, A. I. Golikov, Yu. G. Evtushenko, M. Kh. Nguen, “Parallel implementation of Newton's method for solving large-scale linear programs”, Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009), 1369–1384 ; Comput. Math. Math. Phys., 49:8 (2009), 1303–1317 |
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2008 |
9. |
A. I. Golikov, Yu. G. Evtushenko, “Finding the projection of a given point on the set of solutions of a linear programming problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:2 (2008), 33–47 ; Proc. Steklov Inst. Math. (Suppl.), 14, suppl. 2 (2008), S68–S83 |
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2005 |
10. |
A. I. Golikov, Yu. G. Evtushenko, S. Ketabchi, “On families of hyperplanes that separate polyhedra”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 238–253 ; Comput. Math. Math. Phys., 45:2 (2005), 227–242 |
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2004 |
11. |
A. I. Golikov, Yu. G. Evtushenko, N. Mollaverdi, “Application of Newton's method for solving large linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004), 1564–1573 ; Comput. Math. Math. Phys., 44:9 (2004), 1484–1493 |
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2003 |
12. |
A. I. Golikov, Yu. G. Evtushenko, “Theorems on alternatives and their applications to numerical methods”, Zh. Vychisl. Mat. Mat. Fiz., 43:3 (2003), 354–375 ; Comput. Math. Math. Phys., 43:3 (2003), 338–358 |
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2002 |
13. |
A. I. Golikov, Yu. G. Evtushenko, “Two parametric families of LP problems and their applications”, Trudy Inst. Mat. i Mekh. UrO RAN, 8:1 (2002), 31–44 ; Proc. Steklov Inst. Math. (Suppl.), 2002no. , suppl. 1, S52–S66 |
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2001 |
14. |
A. I. Golikov, Yu. G. Evtushenko, “Application of theorems on the alternative to the determination of normal solutions of linear systems”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 12, 21–31 ; Russian Math. (Iz. VUZ), 45:12 (2001), 18–28 |
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2000 |
15. |
A. I. Golikov, Yu. G. Evtushenko, “Search for normal solutions in linear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000), 1766–1786 ; Comput. Math. Math. Phys., 40:12 (2000), 1694–1714 |
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1988 |
16. |
A. I. Golikov, G. G. Kotkin, “Characterization of the optimal set of the multicriterion optimization problem”, Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988), 1461–1474 ; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 117–126 |
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1983 |
17. |
A. I. Golikov, V. G. Zhadan, “Two modifications of the linearization method in nonlinear programming”, Zh. Vychisl. Mat. Mat. Fiz., 23:2 (1983), 314–325 ; U.S.S.R. Comput. Math. Math. Phys., 23:2 (1983), 36–44 |
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1980 |
18. |
A. I. Golikov, V. G. Zhadan, “Iterative methods for solving non-linear programming problems, using modified Lagrange functions”, Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980), 874–888 ; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 62–78 |
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1978 |
19. |
A. I. Golikov, Yu. G. Evtushenko, “On a class of methods for solving nonlinear programming problems”, Dokl. Akad. Nauk SSSR, 239:3 (1978), 519–522 |
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