메뉴 건너뛰기




Volumn 11, Issue 4, 2005, Pages 253-273

Empirical investigation of the convergence speed of inclusion functions in a global optimization context

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; PROBLEM SOLVING;

EID: 22344458130     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-005-6890-z     Document Type: Article
Times cited : (15)

References (19)
  • 2
    • 0038226969 scopus 로고
    • Optimal centered forms
    • Baumann, E.: Optimal Centered Forms, BIT28 (1) (1988), pp. 80-87.
    • (1988) BIT , vol.28 , Issue.1 , pp. 80-87
    • Baumann, E.1
  • 3
    • 0003088011 scopus 로고    scopus 로고
    • Computation and application of Taylor polynomials with interval remainder bounds
    • Berz, M. and Hofstätter, G.: Computation and Application of Taylor Polynomials with Interval Remainder Bounds, Reliable Computing 4 (1) (1998), pp. 83-97.
    • (1998) Reliable Computing , vol.4 , Issue.1 , pp. 83-97
    • Berz, M.1    Hofstätter, G.2
  • 5
    • 0037380653 scopus 로고    scopus 로고
    • Numerical experiences with a new generalized subinterval selection criterion for interval global optimization
    • Csendes, T.: Numerical Experiences with a New Generalized Subinterval Selection Criterion for Interval Global Optimization, Reliable Computing 9 (2) (2003), pp. 109-125.
    • (2003) Reliable Computing , vol.9 , Issue.2 , pp. 109-125
    • Csendes, T.1
  • 8
    • 0002185345 scopus 로고
    • The centered form in interval arithmetics: Quadratic convergence and inclusion isotonicity
    • Krawczyk, R. and Nickel, K.: The Centered Form in Interval Arithmetics: Quadratic Convergence and Inclusion Isotonicity, Computing 28 (2) (1982), pp. 117-137.
    • (1982) Computing , vol.28 , Issue.2 , pp. 117-137
    • Krawczyk, R.1    Nickel, K.2
  • 9
    • 0012758721 scopus 로고    scopus 로고
    • Multisection in interval branch-and-bound methods for global optimization II, numerical tests
    • Markót, M. Cs., Csendes, T., and Csallner, A. E.: Multisection in Interval Branch-and-Bound Methods for Global Optimization II, Numerical Tests, J. Global Optimization 16 (2000), pp. 219-228.
    • (2000) J. Global Optimization , vol.16 , pp. 219-228
    • Markót, M.Cs.1    Csendes, T.2    Csallner, A.E.3
  • 10
    • 10044250329 scopus 로고    scopus 로고
    • On an efficient use of gradient information for accelerating interval global optimization algorithms
    • Martinez, J. A., Casado, L. G., García, I., Sergeyev, Ya. D., and Tóth, B.: On an Efficient Use of Gradient Information for Accelerating Interval Global Optimization Algorithms, Numerical Algorithms 37 (2004), pp. 61-69.
    • (2004) Numerical Algorithms , vol.37 , pp. 61-69
    • Martinez, J.A.1    Casado, L.G.2    García, I.3    Sergeyev, Ya.D.4    Tóth, B.5
  • 11
    • 12344296927 scopus 로고    scopus 로고
    • Extensions of affine arithmetic: Application to global optimization
    • Messine, F.: Extensions of Affine Arithmetic: Application to Global Optimization, Journal of Universal Computer Science 8(11) (2002), pp. 992-1015.
    • (2002) Journal of Universal Computer Science , vol.8 , Issue.11 , pp. 992-1015
    • Messine, F.1
  • 12
    • 0004293209 scopus 로고
    • Prentice Hall, Englewood Cliffs
    • Moore, R. E.: Interval Analysis, Prentice Hall, Englewood Cliffs, 1966.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 13
    • 0037292825 scopus 로고    scopus 로고
    • Taylor forms - Use and limits
    • Neumaier, A.: Taylor Forms - Use and Limits, Reliable Computing 9 (1) (2003), pp. 43-79.
    • (2003) Reliable Computing , vol.9 , Issue.1 , pp. 43-79
    • Neumaier, A.1
  • 18
    • 22344450846 scopus 로고    scopus 로고
    • An efficient computer tool solving mathematical problems
    • in Hungarian
    • Tóth, B. and Vinkó, T.: An Efficient Computer Tool Solving Mathematical Problems, Polygon XI (2002), pp. 19-42 (in Hungarian).
    • (2002) Polygon , vol.11 , pp. 19-42
    • Tóth, B.1    Vinkó, T.2
  • 19
    • 22344451017 scopus 로고    scopus 로고
    • A new inclusion function for optimization: Kite - The one dimensional case
    • accepted
    • Vinkó, T., Lagouanelle, J.-L., and Csendes, T.: A New Inclusion Function for Optimization: Kite - The One Dimensional Case, J. Global Optimization, accepted.
    • J. Global Optimization
    • Vinkó, T.1    Lagouanelle, J.-L.2    Csendes, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.