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On the selection of subdivision directions in interval branch-and-bound methods for global optimization

https://doi.org/10.1007/bf01097060
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-78423-1openalex-snapshot
Numerical Toolbox for Verified Computing I
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On the convergence of two branch-and-bound algorithms for nonconvex programming problems
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Lipschitzian optimization without the Lipschitz constant
inferredcites →https://doi.org/10.1007/bf01096417openalex-snapshot
Experiments using interval analysis for solving a circuit design problem
inferredcites →https://doi.org/10.1007/bf01580907openalex-snapshot
Convergence qualification of adaptive partition algorithms in global optimization
inferredcites →https://doi.org/10.1007/bf01933121openalex-snapshot
Computation of rational interval functions
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Construction of isarithms and isarithmic maps by computers
inferredcites →https://doi.org/10.1007/bf02238195openalex-snapshot
Extended univariate algorithms for n-dimensional global optimization
inferredcites →https://doi.org/10.1007/bfb0092957openalex-snapshot
Topics in global optimization
inferredcites →https://doi.org/10.1016/0377-2217(93)90110-9openalex-snapshot
The impact of accelerating tools on the interval subdivision algorithm for global optimization
inferredcites →https://doi.org/10.1016/0378-4754(82)90117-3openalex-snapshot
Numerical optimization of computer models
inferredcites →https://doi.org/10.1016/0378-4754(89)90184-5openalex-snapshot
New computer methods for global optimization
inferredcites →https://doi.org/10.1016/0378-4754(92)90111-sopenalex-snapshot
Interval computations
inferredcites →https://doi.org/10.1016/0898-1221(93)90162-oopenalex-snapshot
Pascal-XSC: Language reference with examples
inferredcites →https://doi.org/10.1016/c2009-0-21898-8openalex-snapshot
Introduction to Interval Computation
inferredcites →https://doi.org/10.1017/cbo9780511526473openalex-snapshot
Interval Methods for Systems of Equations
inferredcites →https://doi.org/10.1057/jors.1982.238openalex-snapshot
Numerical Optimization of Computer Models
inferredcites →https://doi.org/10.1057/jors.1990.45openalex-snapshot
New Computer Methods for Global Optimization
inferredcites →https://doi.org/10.1145/78928.78931openalex-snapshot
Algorithm 681: INTBIS, a portable interval Newton/bisection package
inferredcites →https://doi.org/10.1201/9780203026922openalex-snapshot
Global Optimization Using Interval Analysis
inferredcites →https://doi.org/10.2307/2153591openalex-snapshot
Global Optimization Using Interval Analysis.
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Automatische Ergebnisverifikation bei globalen Optimierungsproblemen

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inferred← citeshttps://doi.org/10.1002/cjce.5450850605openalex-snapshot
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inferred← citeshttps://doi.org/10.1002/rnc.655openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/0-306-48332-7_226openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/11558958_18openalex-snapshot
Interval Parallel Global Optimization with Charm++
inferred← citeshttps://doi.org/10.1007/3-540-48086-2_89openalex-snapshot
A Model of Cooperative Solvers for Computational Problems
inferred← citeshttps://doi.org/10.1007/3-540-48086-2_90openalex-snapshot
A Methodology of Parallelization for Continuous Verified Global Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-36721-7_5openalex-snapshot
An Interval Partitioning Approach for Continuous Constrained Optimization
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_300openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4613-0251-3_17openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4757-2600-8_2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4757-2600-8_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4757-2600-8_4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-13795-3_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-540-39901-8_2openalex-snapshot
GlobSol: History, Composition, and Advice on Use
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inferred← citeshttps://doi.org/10.1007/978-3-642-36803-5_38openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-94-017-1247-7_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10898-010-9578-9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10898-011-9771-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10898-016-0441-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11155-006-9022-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11390-012-1260-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11633-007-0342-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11633-012-0619-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s12597-009-0009-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.automatica.2021.109516openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.compchemeng.2024.108672openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ejor.2006.02.005openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0898-1221(01)00219-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s1570-7946(03)80495-9openalex-snapshot
A novel global optimization algorithm using D.C. envelope and convex cut function
inferred← citeshttps://doi.org/10.1017/s0962492904000194openalex-snapshot
Complete search in continuous global optimization and constraint satisfaction
inferred← citeshttps://doi.org/10.1021/ie970852gopenalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1004613001755openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1008224107486openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1008359223042openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1008382309369openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1011228208051openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1021364526413openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1023086201037openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1024618415645openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/a:1024731306785openalex-snapshot
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inferred← citeshttps://doi.org/10.1023/b:numa.0000049456.81410.fcopenalex-snapshot
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inferred← citeshttps://doi.org/10.1080/03052150802056188openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/10556780802086300openalex-snapshot
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inferred← citeshttps://doi.org/10.1145/358407.358418openalex-snapshot
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inferred← citeshttps://doi.org/10.11606/d.45.2009.tde-20230727-113712openalex-snapshot
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inferred← citeshttps://doi.org/10.32657/10356/5264openalex-snapshot
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