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Volumn 21, Issue 4, 2005, Pages 543-556

Complexity of integer quasiconvex polynomial optimization

Author keywords

Integer optimization; Lenstra's algorithm; Quasiconvex polynomials

Indexed keywords

ALGORITHMS; INTEGER PROGRAMMING; MATRIX ALGEBRA; OPTIMIZATION; POLYNOMIALS; SET THEORY;

EID: 21844472492     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2005.04.004     Document Type: Article
Times cited : (32)

References (16)
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    • (1990) C. R. Acad. Sci. Ser. I , vol.310 , Issue.6 , pp. 475-478
    • Bank, B.1    Heintz, J.2    Krick, T.3    Mandel, R.4    Solernó, P.5
  • 6
    • 0006362327 scopus 로고
    • Geometric algorithms and combinatorial optimization
    • second, corrected ed., Springer, Berlin
    • M. Grötschel, L. Lovász, A. Schrijver, Geometric algorithms and combinatorial optimization, Algorithms and Combinatorics, vol. 2, second, corrected ed., Springer, Berlin, 1993.
    • (1993) Algorithms and Combinatorics , vol.2
    • Grötschel, M.1    Lovász, L.2    Schrijver, A.3
  • 7
    • 0011778875 scopus 로고
    • There cannot be any algorithm for integer programming with quadratic constraints
    • R.G. Jeroslow There cannot be any algorithm for integer programming with quadratic constraints Oper. Res. 21 1973 221-224
    • (1973) Oper. Res. , vol.21 , pp. 221-224
    • Jeroslow, R.G.1
  • 8
    • 0002940114 scopus 로고
    • Extremum problems with inequalities as subsidiary conditions
    • presented to R. Courant on his 60th Birthday, January 8th 1948 Interscience Publishers New York
    • F. John Extremum problems with inequalities as subsidiary conditions, in: Studies and Essays presented to R. Courant on his 60th Birthday, January 8th 1948 Interscience Publishers New York 187-204
    • (1948) Studies and Essays , pp. 187-204
    • John, F.1
  • 10
    • 0034405351 scopus 로고    scopus 로고
    • Integer optimization on convex semialgebraic sets
    • L. Khachiyan L. Porkolab Integer optimization on convex semialgebraic sets Discrete Comput. Geom. 23 2000 207-224
    • (2000) Discrete Comput. Geom. , vol.23 , pp. 207-224
    • Khachiyan, L.1    Porkolab, L.2
  • 11
    • 34250244723 scopus 로고
    • Factoring polynomials with rational coefficients
    • A.K. Lenstra H.W. Lenstra L. Lovász Factoring polynomials with rational coefficients Math. Ann. 261 1982 515-534
    • (1982) Math. Ann. , vol.261 , pp. 515-534
    • Lenstra, A.K.1    Lenstra, H.W.2    Lovász, L.3
  • 12
    • 0020845921 scopus 로고
    • Integer programming with a fixed number of variables
    • H.W. Lenstra Integer programming with a fixed number of variables Math. Oper. Res. 8 1983 538-548
    • (1983) Math. Oper. Res. , vol.8 , pp. 538-548
    • Lenstra, H.W.1
  • 13
    • 0012850357 scopus 로고
    • The diophantineness of enumerable sets
    • J.V. Matiyasevic The diophantineness of enumerable sets Dokl. Akad. Nauk SSSR 191 1970 279-282
    • (1970) Dokl. Akad. Nauk SSSR , vol.191 , pp. 279-282
    • Matiyasevic, J.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.