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What can interval analysis do for global optimization?
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-07170-9_14openalex-snapshot
Einschliessung des Minimalpunktes einer streng konvexen Funktion auf einem n-dimensionalen Quader
inferredcites →https://doi.org/10.1007/978-1-4615-8285-4_19openalex-snapshot
Interval Arithmetic in Unidimensional Signomial Programming
inferredcites →https://doi.org/10.1007/978-1-4615-8285-4_20openalex-snapshot
Signomial Dual Kuhn-Tucker Intervals
inferredcites →https://doi.org/10.1007/bf00933139openalex-snapshot
Global optimization using interval analysis: The one-dimensional case
inferredcites →https://doi.org/10.1007/bf00933408openalex-snapshot
Interval arithmetic in unidimensional signomial programming
inferredcites →https://doi.org/10.1007/bf00933598openalex-snapshot
Signomial dual Kuhn-tucker intervals
inferredcites →https://doi.org/10.1007/bf01396702openalex-snapshot
Global optimization using interval analysis ? the multi-dimensional case
inferredcites →https://doi.org/10.1007/bf01580124openalex-snapshot
Computable error bounds for nonlinear programming
inferredcites →https://doi.org/10.1007/bf01580772openalex-snapshot
Inclusion functions and global optimization II
inferredcites →https://doi.org/10.1007/bf01582889openalex-snapshot
An analytical approach to global optimization
inferredcites →https://doi.org/10.1007/bf01584379openalex-snapshot
Inclusion functions and global optimization
inferredcites →https://doi.org/10.1007/bf01933121openalex-snapshot
Computation of rational interval functions
inferredcites →https://doi.org/10.1007/bf01934369openalex-snapshot
Strict estimation of the maximum of a function of one variable
inferredcites →https://doi.org/10.1007/bf01939851openalex-snapshot
Construction of isarithms and isarithmic maps by computers
inferredcites →https://doi.org/10.1007/bf02234767openalex-snapshot
Newton-Algorithmen zur Bestimmung von Nullstellen mit Fehlerschranken
inferredcites →https://doi.org/10.1007/bf02238641openalex-snapshot
On global optimization using interval arithmetic
inferredcites →https://doi.org/10.1007/bf02241731openalex-snapshot
Die Berechnung von Schranken für den Wertebereich eines Polynoms in einem Intervall
inferredcites →https://doi.org/10.1007/bf02241818openalex-snapshot
Die zentrische Form in der Intervallarithmetik, ihre quadratische Konvergenz und ihre Inklusionsisotonie
inferredcites →https://doi.org/10.1007/bf02241975openalex-snapshot
On computing the range of a rational function of n variables over a bounded region
inferredcites →https://doi.org/10.1007/bf02252616openalex-snapshot
An interval arithmetic method for global optimization
inferredcites →https://doi.org/10.1016/0378-4754(85)90023-0openalex-snapshot
Computer methods for the range of functions
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(91)90159-2openalex-snapshot
Interval tools for global optimization
inferredcites →https://doi.org/10.1016/b978-0-12-468662-5.50014-8openalex-snapshot
FINDING THE GLOBAL MINIMUM OF A FUNCTION OF ONE VARIABLE USING THE METHOD OF CONSTANT SIGNED HIGHER ORDER DERIVATIVES11Research supported by Army Research Office under contract DAAG-79-C-0062 and Office of Naval Research contract N00014-75-C-0729.
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/10.1080/02331937808842503openalex-snapshot
Fehlerabsehätzung beim verfahren von wolfe zur lösung quadratischer optimierungsproblem mit hilfe der intervallarithmetik
inferredcites →https://doi.org/10.1090/s0025-5718-1987-0890261-9openalex-snapshot
Abstract Generalized Bisection and a Cost Bound
inferredcites →https://doi.org/10.1137/0328031openalex-snapshot
Global Optimization over Unbounded Domains
inferredcites →https://doi.org/10.1137/0714040openalex-snapshot
A Test for Existence of Solutions to Nonlinear Systems
inferredcites →https://doi.org/10.1137/0724078openalex-snapshot
Efficiency of a Global Optimization Algorithm
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.1137/1.9781611971309openalex-snapshot
Optimization and Nonsmooth Analysis
inferredcites →https://doi.org/10.1137/1028001openalex-snapshot
The Arithmetic of the Digital Computer: A New Approach
inferredcites →https://doi.org/10.1145/1217048.1217052openalex-snapshot
One-dimensional problems in unconstrained signomial programming
inferredcites →https://doi.org/10.1201/9780203026922openalex-snapshot
Global Optimization Using Interval Analysis
inferredcites →https://doi.org/10.1287/opre.27.4.743openalex-snapshot
Bounding Global Minima with Interval Arithmetic
inferredcites →https://doi.org/10.2307/2008155openalex-snapshot
Computer Methods for the Range of Functions.
inferredcites →https://doi.org/10.2307/2583824openalex-snapshot
New Computer Methods for Global Optimization
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/9780470400531.eorms1008openalex-snapshot
Deterministic Global Optimization
inferred← citeshttps://doi.org/10.1007/11840930_5openalex-snapshot
Adaptation of Weighted Fuzzy Programs
inferred← citeshttps://doi.org/10.1007/978-1-4613-3437-8_14openalex-snapshot
A C++ Class Library for Interval Arithmetic in Global Optimization
inferred← citeshttps://doi.org/10.1007/978-1-4615-2025-2_4openalex-snapshot
D.C. Optimization: Theory, Methods and Algorithms
inferred← citeshttps://doi.org/10.1007/978-1-4757-5331-8_1openalex-snapshot
Branch and Bound for Global NLP: New Bounding LP
inferred← citeshttps://doi.org/10.1007/978-3-642-46955-8_91openalex-snapshot
Optimal Solutions to Approximate Integer Programming Problems
inferred← citeshttps://doi.org/10.1007/bf01096417openalex-snapshot
Experiments using interval analysis for solving a circuit design problem
inferred← citeshttps://doi.org/10.1007/bf02390523openalex-snapshot
A parallel interval method implementation for global optimization using dynamic load balancing
inferred← citeshttps://doi.org/10.1007/s10107-005-0607-2openalex-snapshot
New interval methods for constrained global optimization
inferred← citeshttps://doi.org/10.1007/s10898-011-9735-9openalex-snapshot
Theoretical rate of convergence for interval inclusion functions
inferred← citeshttps://doi.org/10.1007/s10898-012-9961-9openalex-snapshot
Geometric branch-and-bound methods for constrained global optimization problems
inferred← citeshttps://doi.org/10.1007/s11075-023-01551-8openalex-snapshot
Algorithmic differentiation and hull-consistency enforcing using C++ template meta-programming
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inferred← citeshttps://doi.org/10.1016/0305-0548(94)90100-7openalex-snapshot
A priority measure in interval methods for constrained global optimization
inferred← citeshttps://doi.org/10.1016/b978-0-12-805166-5.00002-2openalex-snapshot
Glossary of Mathematical Optimization Terminology
inferred← citeshttps://doi.org/10.1016/j.engappai.2011.10.010openalex-snapshot
Interval-based global optimization in engineering using model reformulation and constraint propagation
inferred← citeshttps://doi.org/10.1016/j.imu.2024.101481openalex-snapshot
Predictive biomarker discovery in cancer using a unique AI model based on set theory
inferred← citeshttps://doi.org/10.1016/j.neucom.2007.11.034openalex-snapshot
Connectionist weighted fuzzy logic programs
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/access.2021.3138130openalex-snapshot
Hybrid PSO-α BB Global Optimisation for C² Box-Constrained Multimodal NLPs
inferred← citeshttps://doi.org/10.1109/icec.1996.542702openalex-snapshot
Polynomial complexity blackbox search: lessons from the SEARCH framework
inferred← citeshttps://doi.org/10.1142/s0218488509005759openalex-snapshot
DEFINITION AND ADAPTATION OF WEIGHTED FUZZY LOGIC PROGRAMS
inferred← citeshttps://doi.org/10.1287/mnsc.46.7.1009.12041openalex-snapshot
Bounds on the Opportunity Cost of Neglecting Reoptimization in Mathematical Programming
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Predictive Biomarker Profiles in Cancer Using a Unique AI Model Based on Set Theory
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New Insights on One-Sided Lipschitz and Quadratically-Inner Bounded Nonlinear Dynamic Systems
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Internal analysis and optimization applied to parameter estimation under uncertainty
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An Introduction to Affine Arithmetic
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