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Journal of Global Optimization

, Volume 16, Issue 4, pp 371–392 | Cite as

Multisection in Interval Branch-and-Bound Methods for Global Optimization – I. Theoretical Results

  • András Erik Csallner
  • Tibor Csendes
  • Mihály Csaba markót
Article

Abstract

We have investigated variants of interval branch-and-bound algorithms for global optimization where the bisection step was substituted by the subdivision of the current, actual interval into many subintervals in a single iteration step. The convergence properties of the multisplitting methods, an important class of multisection procedures are investigated in detail. We also studied theoretically the convergence improvements caused by multisection on algorithms which involve the accelerating tests (like e.g. the monotonicity test). The results are published in two papers, the second one contains the numerical test result.

Branch-and-bound method Global optimization Interval arithmetic Multisection Accelerating devices 

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • András Erik Csallner
    • 1
  • Tibor Csendes
    • 2
  • Mihály Csaba markót
    • 3
  1. 1.Department of Computer ScienceJuhász Gyula Teachers Training CollegeSzegedHungary
  2. 2.Department of Applied InformaticsJózsef Attila UniversitySzegedHungary
  3. 3.Institute of InformaticsJózsef Attila UniversitySzegedHungary

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