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Volumn 10, Issue 3, 2004, Pages 209-225

On a refined analysis of some problems in interval arithmetic using real number complexity theory

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; DIGITAL ARITHMETIC; ERROR ANALYSIS; INFORMATION ANALYSIS; MATHEMATICAL OPERATORS; OPTIMIZATION; PROBLEM SOLVING; QUADRATIC PROGRAMMING; SET THEORY;

EID: 3042798881     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:REOM.0000032109.55408.1a     Document Type: Article
Times cited : (5)

References (22)
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    • Grädel, E.1    Meer, K.2
  • 7
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    • Semi-Infinte programming and applications
    • Bachern, A., Grötschel, M., and Korte, B. (eds), Springer
    • Gustafson, S. Å. and Kortanek, K. O.: Semi-Infinte Programming and Applications, in: Bachern, A., Grötschel, M., and Korte, B. (eds), Mathematical Programming: The State of the Art, Springer, 1983, pp. 132-157.
    • (1983) Mathematical Programming: The State of the Art , pp. 132-157
    • Gustafson, S.Å.1    Kortanek, K.O.2
  • 9
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    • Semi-infinite programming
    • Hettich, R. and Kortanek, K. O.: Semi-Infinite Programming, SIAM Review 35 (3) (1993), pp. 380-429.
    • (1993) SIAM Review , vol.35 , Issue.3 , pp. 380-429
    • Hettich, R.1    Kortanek, K.O.2
  • 10
    • 0026835377 scopus 로고
    • Semi-infinite optimization: Structure and stability of the feasible set
    • Jongen, H. Th., Twilt, F., and Weber, G. W.: Semi-Infinite Optimization: Structure and Stability of the Feasible Set, Journal Opt. Theory Applications 72 (1992), pp. 529-552.
    • (1992) Journal Opt. Theory Applications , vol.72 , pp. 529-552
    • Jongen, H.Th.1    Twilt, F.2    Weber, G.W.3
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    • 3042723058 scopus 로고    scopus 로고
    • Optimal enclusure of quadratic interval functions
    • Koshelev, M., Longpré, L., and Taillibert, P.: Optimal Enclusure of Quadratic Interval Functions, Reliable Computing 4 (4) (1998), pp. 351-360.
    • (1998) Reliable Computing , vol.4 , Issue.4 , pp. 351-360
    • Koshelev, M.1    Longpré, L.2    Taillibert, P.3
  • 14
    • 2342486666 scopus 로고
    • A description of the set of solutions of a linear equation with interval defined operator and right-hand side
    • Lakeyev, A. V. and Noskov, S. I.: A Description of the Set of Solutions of a Linear Equation with Interval Defined Operator and Right-Hand Side, Russain Acad. Sci. Dokl. Math. 47 (3) (1993), pp. 518-523.
    • (1993) Russain Acad. Sci. Dokl. Math. , vol.47 , Issue.3 , pp. 518-523
    • Lakeyev, A.V.1    Noskov, S.I.2
  • 15
    • 0028518386 scopus 로고
    • On the complexity of quadratic programming in real number models of computation
    • Meer, K.: On the Complexity of Quadratic Programming in Real Number Models of Computation, Theoretical Computer Science 133 (1994), pp. 85-94.
    • (1994) Theoretical Computer Science , vol.133 , pp. 85-94
    • Meer, K.1
  • 17
    • 0021425650 scopus 로고
    • New NP-hard and NP-complete polynomial and integer divisibility problems
    • Plaisted, D. A.: New NP-Hard and NP-Complete Polynomial and Integer Divisibility Problems, Theoretical Computer Science 31 (1984), pp. 125-138.
    • (1984) Theoretical Computer Science , vol.31 , pp. 125-138
    • Plaisted, D.A.1
  • 18
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    • Some remarks on Bezout's theorem and complexity theory
    • Hirsch, M., Marsden, J., and Shub, M. (eds), Springer
    • Shub, M.: Some Remarks on Bezout's Theorem and Complexity Theory, in: Hirsch, M., Marsden, J., and Shub, M. (eds), Form Topology to Computation: Proc. of the Smalefest, Springer, 1993, pp. 443-455.
    • (1993) Form Topology to Computation: Proc. of the Smalefest , pp. 443-455
    • Shub, M.1
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    • Why does information-based complexity use the real number model?
    • Woźniakowski, H.: Why Does Information-Based Complexity Use the Real Number Model? Theoretical Computer Science 219 (1999), pp. 451-465.
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    • Woźniakowski, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.