On global optimization using interval arithmetic

DOI10.1007/BF02238641zbMath0774.65036OpenAlexW190239871MaRDI QIDQ1195964

H. Munack

Publication date: 11 January 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238641

zbMATH Keywords

global optimizationinterval analysisnumerical testsinterval arithmeticinclusion function

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Interval and finite arithmetic (65G30)

Related Items (3)

Branch-and-Model: a derivative-free global optimization algorithm ⋮ On global optimization using interval arithmetic ⋮ Intersection points algorithm for piecewise algebraic curves based on Groebner bases

Uses Software

• TOMS659
• ALGOL 60

Cites Work

• Unnamed Item
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• Global optimization using interval analysis - the multi-dimensional case
• On global optimization using interval arithmetic
• On computing the range of a rational function of n variables over a bounded region
• Global optimization using interval analysis: The one-dimensional case
• The algorithmic language Triplex-ALGOL 60
• Algorithm 659
• An economic method of computing LPτ-sequences
• On the Systematic Search in a Hypercube
• Uniformly distributed sequences with an additional uniform property
• On the distribution of points in a cube and the approximate evaluation of integrals
• On irregularities of distribution

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