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Inclusion functions and global optimization

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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/10.1007/3-540-10861-0openalex-snapshot
Automatic Differentiation: Techniques and Applications
inferredcites →https://doi.org/10.1007/bf00933139openalex-snapshot
Global optimization using interval analysis: The one-dimensional case
inferredcites →https://doi.org/10.1007/bf01396702openalex-snapshot
Global optimization using interval analysis ? the multi-dimensional case
inferredcites →https://doi.org/10.1007/bf01932300openalex-snapshot
Quadratic convergence in interval arithmetic, part I
inferredcites →https://doi.org/10.1007/bf01932301openalex-snapshot
Quadratic convergence in interval arithmetic, part II
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The algorithmic language triplex-Algol 60
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On computing the range of values
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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/bf02242276openalex-snapshot
Computing the range of values of real functions with accuracy higher than second order
inferredcites →https://doi.org/10.1007/bf02248774openalex-snapshot
Die Überschätzung des Wertebereichs einer Funktion in der Intervallrechnung mit Anwendungen auf lineare Gleichungssysteme
inferredcites →https://doi.org/10.1007/bf02259640openalex-snapshot
Mean value forms in interval analysis
inferredcites →https://doi.org/10.1016/0022-247x(81)90215-8openalex-snapshot
Centered forms for functions in several variables
inferredcites →https://doi.org/10.1137/0514019openalex-snapshot
Mean Value and Taylor Forms in Interval Analysis
inferredcites →https://doi.org/10.1137/0709027openalex-snapshot
Termination Criterion and Numerical Convergence
inferredcites →https://doi.org/10.1137/0709036openalex-snapshot
A Sequential Method Seeking the Global Maximum of a Function
inferredcites →https://doi.org/10.1137/0717055openalex-snapshot
Centered Forms
inferredcites →https://doi.org/10.1137/0719054openalex-snapshot
Iterative Methods for the Localization of the Global Maximum
inferredcites →https://doi.org/10.1137/1.9781611970906openalex-snapshot
Methods and Applications of Interval Analysis
inferredcites →https://doi.org/10.2307/2004446openalex-snapshot
Computer Approximations
inferredcites →https://doi.org/10.2307/2004635openalex-snapshot
Topics in Interval Analysis
inferredcites →https://doi.org/10.2307/2005713openalex-snapshot
Algorithms for Minimization Without Derivatives
inferredcites →https://doi.org/10.2307/2008155openalex-snapshot
Computer Methods for the Range of Functions.
inferredcites →https://doi.org/10.6028/jres.070b.005openalex-snapshot
Bernstein form of a polynomial
inferredcites →https://doi.org/10.6028/jres.074b.006openalex-snapshot
Bounds on a polynomial

What points at this work

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

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Limit cycle computation for describing function approximable nonlinear systems with box-constrained parametric uncertainties
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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…
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Interval Global Optimization
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Exact Penalty Function Methods for Nonlinear Semi-Infinite Programming
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Multicriteria Optimization in the DISO System
inferred← citeshttps://doi.org/10.1007/bf00119986openalex-snapshot
What can interval analysis do for global optimization?
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An algorithm for global optimization of Lipschitz continuous functions
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A branch and bound algorithm for bound constrained optimization problems without derivatives
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Inclusion functions and global optimization II
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Convergence qualification of adaptive partition algorithms in global optimization
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Convergence rates of a global optimization algorithm
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Interval method for bounding level sets: Revisited and tested with global optimization problems
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Feature extraction algorithms for constrained global optimization I. Mathematical foundation
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Feature extraction algorithms for constrained global optimization II. Batch process scheduling application
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An interval method for bounding level sets of parameter estimation problems
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An interval version of Shubert's iterative method for the localization of the global maximum
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Solving nonlinear equation systems via global partition and search: Some experimental results
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Multicriteria optimization in the diso system
inferred← citeshttps://doi.org/10.1007/s10898-004-5906-2openalex-snapshot
An Improved Interval Global Optimization Algorithm Using Higher-order Inclusion Function Forms
inferred← citeshttps://doi.org/10.1007/s10898-010-9578-9openalex-snapshot
The extrapolated interval global optimization algorithm
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The transistor modeling problem again
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The globally convexized filled functions for global optimization
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The impact of accelerating tools on the interval subdivision algorithm for global optimization
inferred← citeshttps://doi.org/10.1016/0898-1221(91)90159-2openalex-snapshot
Interval tools for global optimization
inferred← citeshttps://doi.org/10.1016/b978-0-12-505630-4.50023-7openalex-snapshot
SOME RECENT ASPECTS OF INTERVAL ALGORITHMS FOR 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/s0005-1098(99)00082-5openalex-snapshot
Template generation for continuous transfer functions using interval analysis
inferred← citeshttps://doi.org/10.1016/s0927-0507(89)01010-8openalex-snapshot
Chapter IX Global optimization
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An Algorithm for Global Optimization using the Taylor–Bernstein Form as Inclusion Function
inferred← citeshttps://doi.org/10.1049/ip-cta:20030813openalex-snapshot
Reliable and accurate algorithm to compute the limit cycle locus for uncertain nonlinear systems
inferred← citeshttps://doi.org/10.1080/00207169308804215openalex-snapshot
A new interval method for locating the boundary of level sets
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GENERATION OF ALTERNATIVE OPTIMA FOR NONLINEAR PROGRAMMING PROBLEMS
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A pre-check operator for reducing algorithmic optimisation time in image processing applications
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An Interval Optimization Algorithm With Embedded Point Evolutionary Strategy and Its Application to Bounded Error Modeling
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A Reliable Algorithm to Compute the Spectral Set of a Polytope of Polynomials to Prescribed Accuracy
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Global Optimization over Unbounded Domains
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Efficiency of a Global Optimization Algorithm
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On Optimal Solution of Interval Linear Equations
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Review of the Most Important Design Optimization Technique of Composite Wing
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Set-membership state estimation and application on fault detection
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