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Box-Splitting strategies for the interval Gauss-Seidel step in a global optimization method

https://doi.org/10.1007/bf02307384
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf01396702openalex-snapshot
Global optimization using interval analysis ? the multi-dimensional case
inferredcites →https://doi.org/10.1007/bf01933165openalex-snapshot
Bounding solutions of systems of equations using interval analysis
inferredcites →https://doi.org/10.1016/0096-3003(83)90001-2openalex-snapshot
An interval Newton method
inferredcites →https://doi.org/10.1016/0378-4754(89)90184-5openalex-snapshot
New computer methods for global optimization
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.1990.45openalex-snapshot
New Computer Methods for Global Optimization
inferredcites →https://doi.org/10.1137/0727047openalex-snapshot
Preconditioners for the Interval Gauss–Seidel Method
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.
inferredcites →https://doi.org/10.5445/ir/41092openalex-snapshot
Automatische Ergebnisverifikation bei globalen Optimierungsproblemen

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/0-306-48332-7_232openalex-snapshot
αBB algorithm; Automatic differentiation: Point and interval; Automatic differentiation: Point and interval Taylor operators; Bounding derivative ranges; Continuous global optimization: Applications; Continuous global optimization: Models, algorithms and software; Global optimization: Application…
inferred← citeshttps://doi.org/10.1007/11564751_9openalex-snapshot
Mind the Gaps: A New Splitting Strategy for Consistency Techniques
inferred← citeshttps://doi.org/10.1007/978-0-387-36721-7_2openalex-snapshot
Towards Optimal Techniques for Solving Global Optimization Problems: Symmetry-Based Approach
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_306openalex-snapshot
Interval Global Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4613-3437-8_12openalex-snapshot
Test Results for an Interval Branch and Bound Algorithm for Equality-Constrained Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4613-3440-8_2openalex-snapshot
A Review of Techniques in the Verified Solution of Constrained Global Optimization Problems
inferred← citeshttps://doi.org/10.1007/978-1-4757-2600-8_4openalex-snapshot
New Results on Gap-Treating Techniques in Extended Interval Newton Gauss-Seidel Steps for Global Optimization
inferred← citeshttps://doi.org/10.1007/978-3-319-98334-9_28openalex-snapshot
Finding Solutions by Finding Inconsistencies
inferred← citeshttps://doi.org/10.1007/978-3-540-24687-9_4openalex-snapshot
An Intelligent Hybrid Algorithm for Solving Non-linear Polynomial Systems
inferred← citeshttps://doi.org/10.1007/978-3-540-34690-6_12openalex-snapshot
Swarm Intelligence: Theoretical Proof That Empirical Techniques are Optimal
inferred← citeshttps://doi.org/10.1007/978-3-7091-6282-8_15openalex-snapshot
Nonsmooth Global Optimization
inferred← citeshttps://doi.org/10.1007/978-94-017-1247-7_1openalex-snapshot
Rigorous Global Search: Industrial Applications
inferred← citeshttps://doi.org/10.1007/978-94-017-1247-7_6openalex-snapshot
A Comparison of Subdivision Strategies for Verified Multi-Dimensional Gaussian Quadrature
inferred← citeshttps://doi.org/10.1007/s10107-005-0607-2openalex-snapshot
New interval methods for constrained global optimization
inferred← citeshttps://doi.org/10.1016/b978-1-78548-010-2.50013-1openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/c2014-0-04695-3openalex-snapshot
Abstract Domains in Constraint Programming
inferred← citeshttps://doi.org/10.1016/s0098-1354(02)00005-4openalex-snapshot
New interval methodologies for reliable chemical process modeling
inferred← citeshttps://doi.org/10.1016/s0167-6423(97)00008-7openalex-snapshot
Constraint programming over nonlinear constraints
inferred← citeshttps://doi.org/10.1016/s0304-3975(96)00190-9openalex-snapshot
Helios: A modeling language for global optimization and its implementation in Newton
inferred← citeshttps://doi.org/10.1023/a:1008315927737openalex-snapshot
Using Interval Analysis for Solving Planar Single-Facility Location Problems: New Discarding Tests
inferred← citeshttps://doi.org/10.1109/iccet.2010.5485657openalex-snapshot
A neural network's learning algorithm based on interval optimization
inferred← citeshttps://doi.org/10.1109/icime.2010.5477488openalex-snapshot
An intelligent hybrid algorithm for isolating real solutions of polynomial systems
inferred← citeshttps://doi.org/10.1109/icmtma.2016.74openalex-snapshot
Evaluation Model of Corporate Financial Impact Factor Based on Discrete Neural Network
inferred← citeshttps://doi.org/10.1109/wac.2002.1049529openalex-snapshot
Swarm intelligence: theoretical proof that empirical techniques are optimal
inferred← citeshttps://doi.org/10.1201/9780203026922.bmattopenalex-snapshot
References
inferred← citeshttps://doi.org/10.32657/10356/6217openalex-snapshot
New interval partitioning algorithms for global optimization problems
inferred← citeshttps://doi.org/10.70675/56469ad9zdcddz4491z93eez3cf5ab6ee35fopenalex-snapshot
Analyse des erreurs d’arrondi sur les nombres à virgule flottante par programmation par contraintes
inferred← citeshttps://doi.org/10.70675/7b6c7a97zed72z41e4zaa98z8142c5556c9bopenalex-snapshot
A combination of abstract interpretation and constraint programming
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