Geodesic
Author’s results on Mathematical Programming in retrospect
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 58-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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In 2001, Information Bulletin no 9 of the Association of Mathematical Programming was published containing annotations of priority results in mathematical programming. In the Bulletin, 22 authors were represented, including the author of this paper. The following of his results were mentioned: (1) the discovery of exact penalty functions; (2) the elaboration of the duality constructions (as well as theorems of duality) for improper, lexicographic, Pareto lexicographic, disjunctive, and other problems. In this paper, we present the author’s results mentioned in the bulletin. Publication data and annotations of some monographs and papers of recent years are also given where the author continues the development of the subjects. 
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I. I. Eremin. Author’s results on Mathematical Programming in retrospect. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 2, pp. 58-66. http://geodesic.mathdoc.fr/item/TIMM_2008_14_2_a6/

[1] Eremin I. I., “Iterativnyi metod dlya chebyshevskikh priblizhenii nesovmestnykh sistem lineinykh neravenstv”, Dokl. AN SSSR, 143:6 (1962), 1254–1256 | MR | Zbl

[2] Eremin I. I., “O sistemakh neravenstv s vypuklymi funktsiyami v levykh chastyakh”, Izvestiya AN SSSR. Ser. matematicheskaya, 30:2 (1966), 265–278 | MR

[3] Eremin I. I., “O metode “shtrafov” v vypuklom programmirovanii”, Tez. dokl. mezhdunar. kongressa matematikov, Tetrad No 14, Moskva, 1966, 34

[4] Eremin I. I., “Metod “shtrafov” v vypuklom programmirovanii”, Dokl. AN SSSR, 173:4 (1967), 748–751 | MR | Zbl

[5] Eremin I. I., “O metode “shtrafov” v vypuklom programmirovanii”, Kibernetika, 1967, no. 4, 63–68 | MR

[6] Eremin I. I., Protivorechivye modeli optimalnogo planirovaniya, Nauka, M., 1988 | MR

[7] Eremin I. I., “K metodu shtrafov v matematicheskom programmirovanii”, Dokl. AN SSSR, 346:4 (1996), 459–461 | MR | Zbl

[8] Zangwill W. I., “Non-linear programming via penalty function”, Management Sci., 13:5 (1967), 344–358 | DOI | MR | Zbl

[9] Eremin I. I., “O zadachakh posledovatelnogo programmirovaniya”, Sib. mat. zhurn., 14:1 (1973), 53–63 | MR | Zbl

[10] Eremin I. I., “Simmetrichnaya dvoistvennost dlya zadach posledovatelnogo lineinogo programmirovaniya”, Dokl. AN SSSR, 317:5 (1991), 1045–1048 | MR | Zbl

[11] Eremin I. I., “Leksikograficheskaya dvoistvennost dlya nesobstvennykh zadach lineinogo i kvadratichnogo programmirovaniya”, Tr. In-ta matematiki i mekhaniki UrO RAN, 1, 1992, 178–192

[12] Eremin I. I., “Dvoistvennost dlya pareto-posledovatelnykh zadach lineinoi optimizatsii”, Izv. vuzov. Matematika, 1993, no. 12(379), 3–10 | MR | Zbl

[13] Eremin I. I., “Pareto-posledovatelnaya zadacha lineinoi optimizatsii i dvoistvennost”, Dokl. RAN, 334:2 (1994), 141–143 | MR | Zbl

[14] Eremin I. I., “Dvoistvennost dlya pareto-posledovatelnykh zadach lineinogo programmirovaniya”, Tr. In-ta matematiki i mekhaniki UrO RAN, 3, 1995, 245–260 | MR | Zbl

[15] Eremin I. I., “Dvoistvennost dlya nesobstvennykh zadach paretovskoi i leksikograficheskoi lineinoi optimizatsii”, Tr. In-ta matematiki i mekhaniki UrO RAN, 4, 1996, 322–336 | MR | Zbl

[16] Eremin I. I., “Dvoistvennost dlya nesobstvennykh zadach lineinogo i vypuklogo programmirovaniya”, Dokl. AN SSSR, 256:2 (1981), 272–276 | MR | Zbl

[17] Eremin I. I., Mazurov V. D., Astafev N. N., Nesobstvennye zadachi lineinogo i vypuklogo programmirovaniya, Nauka, M., 1983 | MR

[18] Eremin I. I., “Relaksatsionnyi metod resheniya sistem neravenstv s vypuklymi funktsiyami v levykh chastyakh”, Dokl. AN SSSR, 160:5 (1965), 994–996 | MR | Zbl

[19] Eremin I. I., “O sistemakh neravenstv s vypuklymi funktsiyami v levykh chastyakh”, Izv. AN SSSR. Ser. matematicheskaya, 30:2 (1966), 265–278 | MR

[20] Eremin I. I., Mazurov V. D., Nestatsionarnye protsessy matematicheskogo programmirovaniya, Nauka, M., 1979 | MR

[21] Eremin I. I., “Nekotorye voprosy kusochno-lineinogo programmirovaniya”, Izv. vuzov. Matematika, 1997, no. 12, 49–61 | MR | Zbl

[22] Eremin I. I., “Sigma-kusochnye funktsii i zadachi diz'yunktivnogo programmirovaniya”, Dokl. RAN, 358:5 (1998), 588–590 | MR | Zbl

[23] Eremin I. I., Teoriya lineinoi optimizatsii, Izd-vo “Ekaterinburg”, Ekaterinburg, 1999