Semi-Infinite Programming: Theory, Methods, and Applications

SIAM Review - Tập 35 Số 3 - Trang 380-429 - 1993
R. Hettich, K. O. Kortanek

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Tài liệu tham khảo

Anderson Edward J., 1987, Linear programming in infinite-dimensional spaces

10.1007/978-3-642-46564-2

10.1007/978-3-642-66156-3

10.1007/978-3-642-46477-5

10.1007/978-1-4612-1142-6

10.1007/978-3-642-68874-4_7

10.1007/BFb0003879

10.1007/978-3-322-93108-5

Krabs Werner, 1979, Optimization and approximation

Rockafellar R. Tyrrell, 1970, Convex analysis, 10.1515/9781400873173

10.1007/978-3-642-46216-0

Brosowski B., 1982, Z. Angew. Math. Mech., 62, T322

10.1007/BF02575862

10.1002/nme.1620171009

10.1137/0511049

Christiansen Edmund, 1982, Utilitas Math., 22, 77

10.1007/BF02023060

10.1016/0377-0427(91)90147-C

Collatz Lothar, 1966, Functional analysis and numerical mathematics

Lothar Collatz, Werner Krabs, Approximationstheorie. Tschebyscheffsche Approximation mit Anwendungen, B. G. Teubner, Stuttgart, 1973, 208–56:34970266.41019

10.1137/1026072

10.1137/0144070

10.1016/0022-247X(72)90264-8

10.1007/BFb0003890

10.1287/mnsc.15.11.626

Fedorov V. V., 1972, Theory of optimal experiments

10.1007/BF00934660

10.1090/S0025-5718-1981-0595055-4

10.1068/a040183

10.1109/56.772

Gribik P. R., 1979, Constructive approaches to mathematical models (Proc. Conf. in honor of R. J. Duffin, Pittsburgh, Pa., 1978), 171

10.1137/0132021

10.1137/0707026

10.1216/RMJ-1974-4-2-227

10.1007/BFb0079171

10.1007/BFb0003889

10.1137/0707025

Haaren-Retagne E., 1991, Numerical treatment of eigenvalue problems, Vol. 5 (Oberwolfach, 1990), 96, 209, 10.1007/978-3-0348-6332-2_16

10.1007/978-3-642-46564-2_7

10.1002/zamm.19870671201

10.1007/978-3-0348-7507-3_10

Hettich R., 1991, Parametric optimization and related topics, II (Eisenach, 1989), 62, 112

10.1137/0727060

Hobson E. W., 1927, The Theory of Functions of a Real Variable and the Theory of Fourier series, Vol. 1

Hobson E. W., 1958, The theory of functions of a real variable and the theory of Fourier's series. Vol. I

10.1016/0021-9045(80)90011-8

Juhnke F., 1988, Beiträge Algebra Geom., 27, 13

Juhnke F., 1989, Beiträge Algebra Geom., 28, 147

Karlin Samuel, 1966, Tchebycheff systems: With applications in analysis and statistics

10.1007/978-3-642-46477-5_5

10.1109/TAC.1986.1104345

10.1007/BF01389495

Kortanek K. O., 1985, Utilitas Math., 28, 219

10.1007/978-3-642-46564-2_6

10.1137/0914018

10.1016/0022-247X(82)90214-1

10.1016/0022-247X(66)90187-9

10.1109/9.393

Matthies H., 1979, Energy methods in finite element analysis, 309

Opfer G., 1982, Z. Angew. Math. Mech., 62, T342

10.1007/BF01407872

10.1007/978-3-642-46477-5_15

Pazman Andrej, 1986, Foundations of optimum experimental design

10.1007/978-3-642-46477-5_16

10.1109/TAC.1987.1104614

10.1109/PROC.1984.13086

10.1080/03052157608960598

10.1109/9.21098

10.1016/0378-3758(80)90020-8

Reemtsen R., 1987, Defect minimization in operator equations: theory and applications

10.1007/BF01389470

10.1007/BF01395813

Robertson Tim, 1988, Order restricted statistical inference

10.1090/surv/009

Sommer Rolf, 1981, Wiss. Z. Tech. Hochsch. Karl-Marx-Stadt, 23, 471

10.1287/mnsc.21.7.806

10.1016/0377-2217(79)90227-3

10.1007/BF01396975

Still G., 1989, Defektminimierungsmethoden zur Lösung elliptischer Rand—und Eigenwertaufgaben—Spezielle Klassen von Ansatzfunktionen und ihre Approximationseigenschaften

10.1007/BFb0062087

10.1007/BF02592050

10.1080/01630568508816208

10.1137/0907010

10.1090/S0025-5718-1983-0689476-0

Tichatschke Rainer, 1986, Mitt. Math. Ges. DDR, 20

Tichatschke R., 1989, Z. Oper. Res., 33, 367

Tijs S. H., 1979, Nieuw Arch. Wisk. (3), 27, 197

10.1007/BF00938449

10.1080/02331888008801531

10.1016/0024-3795(86)90155-2

10.1080/02331939208843810

Yamasaki Maretsugu, 1971, Hiroshima Math. J., 1, 177, 10.32917/hmj/1206137972

Yamasaki Maretsugu, 1972, Hiroshima Math. J., 2, 547, 10.32917/hmj/1206137632

10.1016/0021-9045(90)90047-T

Cheney E. W., 1966, Introduction to approximation theory

10.1007/BF01396341

10.1080/01630569008816374

10.1080/01630568508816209

10.1002/zamm.19850650720

10.1137/0315020

10.1080/01630569008816399

10.1080/01630569008816399

10.1007/BFb0003883

10.1007/BFb0121215

10.1007/BF00940041

10.1007/978-3-642-46414-0_16

10.1007/BFb0003881

10.1007/BF01436923

Hettich R., 1977, VIII. Oberwolfach-Tagung über Operations Research (1976), 82

10.1007/BFb0006502

Joffe A. D., 1983, Semi-infinite programming and applications (Austin, Tex., 1981), 215, 262, 10.1007/978-3-642-46477-5_18

Jongen H. Th., 1987, Math. Operationsforsch. Statist., Ser. Optim., 18, 165

10.1007/BF01580754

10.1007/BF01588788

10.1080/02331938808843333

10.1287/moor.10.2.207

10.1007/BF02165377

Ben-Tal A., 1979, Constructive approaches to mathematical models (Proc. Conf. in honor of R. J. Duffin, Pittsburgh, Pa., 1978), 127

10.1016/0022-247X(74)90222-4

10.1007/978-3-642-46477-5_1

10.1007/BF01588327

10.1016/0022-247X(80)90228-0

10.1007/BF01584251

10.1007/978-3-642-46477-5_2

10.1080/02331938308842831

10.1073/pnas.44.9.914

10.1073/pnas.48.5.783

10.1090/S0002-9904-1962-10870-2

10.1287/mnsc.9.2.209

10.1287/mnsc.12.1.113

10.1002/nav.3800160104

10.1007/BF01920270

Charnes A., 1980, Z. Oper. Res. Ser. A-B, 24, A211

10.1007/BF00536646

Duffin R. J., 1956, Linear inequalities and related systems, 157

10.1287/mnsc.12.1.122

10.1007/BF01584656

10.1007/978-3-642-46477-5_4

10.1016/0021-9045(69)90038-0

10.1007/BFb0003880

10.1007/BF01442122

10.1007/978-3-642-46564-2_2

10.1016/0024-3795(88)90024-9

10.1080/00036817608839138

Gol'stein E. G., 1972, Theory of convex programming

10.1007/BF00935754

10.1007/BF02591942

10.1007/BF02771577

10.1137/1013065

10.1007/BF01589340

10.1016/0196-8858(81)90036-1

10.1007/BF02591965

10.1016/0021-9045(85)90068-1

10.1016/0022-247X(74)90270-4

Kortanek K. O., 1975, Zentralblatt f. Math., 283, 491

Kortanek K. O., 1979, Survey of mathematical programming (Proc. Ninth Internat. Math. Programming Sympos., Budapest, 1976), Vol. 1, 43

10.1007/BF01448186

Kortanek K. O., 1977, First Symposium on Operations Research (Univ. Heidelberg, Heidelberg, 1976), Teil 1

10.1007/BF01582242

10.1002/1520-6750(198808)35:4<571::AID-NAV3220350410>3.0.CO;2-L

10.1287/opre.19.7.1571

10.1007/BF01580450

10.1080/02331938008842646

10.1007/BF02591906

10.1098/rspa.1958.0062

10.1080/02331938008842666

10.1016/0022-247X(68)90206-0

Yamasaki Maretsugu, 1968, J. Sci. Hiroshima Univ. Ser. A-I Math., 32, 331, 10.32917/hmj/1206138657

Zhu Y. J., 1966, Acta Math. Sincia, 16, 25

10.1007/BF01587092

10.1007/BFb0120945

10.1007/BF01386389

10.1007/BF02591681

10.1007/BF01582053

10.1007/BF01580439

10.1007/BF01582293

10.1137/0724075

10.1080/02331938708843278

10.1007/BF01740508

10.1137/0317034

10.1109/TAC.1980.1102227

10.1007/BFb0003884

Gribik P. R., 1979, Third Symposium on Operations Research (Univ. Mannheim, Mannheim, 1978), Section I, 31, 275

Gustafson S.-Å., 1973, Numerical solution of systems of nonlinear algebraic equations (NSF-CBMS Regional Conference on the Numerical Solution of Nonlinear Algebraic Systems with Applications to Problems in Physics, Engineering and Economics, Univ. Pittsburgh, Pittsburgh, Pa., 1972), 63

10.1007/978-3-642-46477-5_10

10.1002/nav.3800200310

Gustafson S.-Å., 1973, Meth. Oper. Res., 16, 138

10.1007/BF00932858

10.1007/BFb0087410

10.1007/BFb0003887

10.1007/978-3-642-46477-5_11

10.1007/BF01582235

10.1007/BF01585742

10.1007/BFb0003886

Hoffmann K. H., 1976, Approximation theory, II (Proc. Internat. Sympos., Univ. Texas, Austin, Tex., 1976), 379

10.1007/BFb0003888

10.1007/BF01585730

Kaplan A., 1990, Sov. Dokl., 315, 275

10.1137/0108053

10.1137/0803047

Laurent P. J., 1978, RAIRO Anal. Numér., 12, 10.1051/m2an/1978120403771

10.1007/BF01460116

10.1007/BF00933378

10.1007/BF02165588

10.1137/1029002

10.1137/0323031

10.1137/0321010

10.1007/BF01447767

10.1007/BFb0067703

10.1007/BF01933219

10.1007/BFb0003885

10.1016/0377-0427(88)90276-2

Tichatschke R., 1978, Untersuchungen zur numerischen Lösung semi-infiniter linearer Optimierungsaufgaben

Tichatschke R., 1987, Recent Advances and Historical Development of Vector Optimization, 194, 379

Tichatschke R., 1988, Optimisacija, 43, 62

Töpfer H. J., 1967, Internat. Ser. Numer. Math., 7, 71

10.1109/TAC.1980.1102228

10.1007/BF01941472

10.1007/978-3-642-46477-5_13

10.1007/978-3-642-46564-2_8

Wetterling W., 1963, Math.-Tech.-Wirtschaft, 10, 61

Wetterling W., 1963, Math.-Tech.-Wirtschaft, 10, 112

Brosowski B., 1976, Meth. Oper. Res., 25, 28

10.1007/978-94-009-7901-7_1

Bruno Brosowski, Parametric semi-infinite optimization, Methoden und Verfahren der Mathematischen Physik [Methods and Procedures in Mathematical Physics], Vol. 22, Verlag Peter D. Lang, Frankfurt, 1982, 256–, (Main)-Bern84h:900720502.49001

10.1007/BFb0121209

10.1007/BF00935322

Colgen R., 1986, J. Optim. Theory Appl., 48, 65, 10.1007/BF00938590

Colgen R., 1986, J. Optim. Theory Appl., 48, 65, 10.1007/BF00938590

10.1080/01630568108816099

Fiacco Anthony V., 1983, Introduction to sensitivity and stability analysis in nonlinear programming

Fischer Thomas, 1986, Stetige Selektionen bei semi-infiniter Optimierung

10.1007/BFb0043395

Guddat Jürgen, 1987, Parametric optimization and related topics (Plaue, 1985), 35, 125

10.1007/978-3-663-12160-2

J. Guddat, H. Th. Jongen, B. Kummer, F. Nozicka, Parametric optimization and related topics, Mathematical Research, Vol. 35, Akademie-Verlag, Berlin, 1987, 407–88h:902220619.00012

Helbig S., 1987, Parametrische semi-infinite Optimierung in total geordneten Gruppen

10.1007/978-3-0348-9297-1_8

10.1007/BFb0043396

10.1287/opre.21.1.188

10.1007/BF01582234

10.1016/B978-0-12-590240-3.50009-4

Lehmann Ralph, 1987, Parametric optimization and related topics (Plaue, 1985), 35, 268

G. Nuernberger, Parametric optimization and related topics, Math. Res., Vol. 35, Akademie-Verlag, 1987, 316–326

10.1287/moor.5.1.43

10.1080/02331938908843414

10.1007/BF02592018