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LP Strategy for the Interval-Newton Method in Deterministic Global Optimization

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What this work says

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

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Robust error‐in‐variables estimation using nonlinear programming techniques
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Reliable computation of homogeneous azeotropes
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Reliable computation of mixture critical points
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Reliable density‐functional‐theory calculations of adsorption in nanoscale pores
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Deterministic global optimization for error‐in‐variables parameter estimation
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Mathematical model and optimization of drying process for a through‐circulation dryer
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Mathematical model and optimization of drying process for a through‐circulation dryer
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Letters to the editor
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Applied Interval Analysis
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Global Optimization for the Chemical and Phase Equilibrium Problem using Interval Analysis
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Rigorous Global Search: Continuous Problems
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Implementation and Computational Results
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Compatibility of approximate solution of linear equations with given error bounds for coefficients and right-hand sides
inferredcites →https://doi.org/10.1007/bf02253433openalex-snapshot
Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems
inferredcites →https://doi.org/10.1007/s10107-003-0433-3openalex-snapshot
Safe bounds in linear and mixed-integer linear programming
inferredcites →https://doi.org/10.1016/0098-1354(81)85003-xopenalex-snapshot
A modification of Powell's dogleg method for solving systems of nonlinear equations
inferredcites →https://doi.org/10.1016/0098-1354(95)00014-sopenalex-snapshot
Robust process simulation using interval methods
inferredcites →https://doi.org/10.1016/s0009-2509(99)00442-xopenalex-snapshot
Reliable phase stability analysis for excess Gibbs energy models
inferredcites →https://doi.org/10.1016/s0024-3795(96)00291-1openalex-snapshot
The solution of linear interval equations by a linear programming method
inferredcites →https://doi.org/10.1016/s0024-3795(96)00681-7openalex-snapshot
Calculation of exact bounds for the solution set of linear interval systems
inferredcites →https://doi.org/10.1016/s0024-3795(98)10044-7openalex-snapshot
Solving interval linear systems with linear programming techniques
inferredcites →https://doi.org/10.1016/s0098-1354(00)00363-xopenalex-snapshot
Reliable nonlinear parameter estimation using interval analysis: error-in-variable approach
inferredcites →https://doi.org/10.1016/s0098-1354(00)00564-0openalex-snapshot
Reliable computation of reactive azeotropes
inferredcites →https://doi.org/10.1016/s0098-1354(02)00005-4openalex-snapshot
New interval methodologies for reliable chemical process modeling
inferredcites →https://doi.org/10.1016/s0098-1354(02)00006-6openalex-snapshot
Dynamic load balancing for parallel interval-Newton using message passing
inferredcites →https://doi.org/10.1016/s0098-1354(98)00024-6openalex-snapshot
Reliable computation of phase stability using interval analysis
inferredcites →https://doi.org/10.1016/s0098-1354(98)00027-1openalex-snapshot
A global optimization method, αBB, for general twice-differentiable constrained NLPs — I. Theoretical advances
inferredcites →https://doi.org/10.1016/s0098-1354(98)00218-xopenalex-snapshot
A global optimization method, αBB, for general twice-differentiable constrained NLPs—II. Implementation and computational results
inferredcites →https://doi.org/10.1016/s0378-3812(99)00332-5openalex-snapshot
Reliable nonlinear parameter estimation in VLE modeling
inferredcites →https://doi.org/10.1017/cbo9780511526473openalex-snapshot
Interval Methods for Systems of Equations
inferredcites →https://doi.org/10.1021/ac50049a796openalex-snapshot
Nonlinear Parameter Estimation
inferredcites →https://doi.org/10.1021/ie0101801openalex-snapshot
Reliable Computation of Phase Stability and Equilibrium from the SAFT Equation of State
inferredcites →https://doi.org/10.1021/ie030161mopenalex-snapshot
Phase Behavior and Reliable Computation of High-Pressure Solid−Fluid Equilibrium with Cosolvents
inferredcites →https://doi.org/10.1021/ie970535+openalex-snapshot
Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models
inferredcites →https://doi.org/10.1021/ie970852gopenalex-snapshot
Global Optimization in Parameter Estimation of Nonlinear Algebraic Models via the Error-in-Variables Approach
inferredcites →https://doi.org/10.1021/ie990653sopenalex-snapshot
Reliable Computation of High-Pressure Solid−Fluid Equilibrium
inferredcites →https://doi.org/10.1023/b:jogo.0000006720.68398.8copenalex-snapshot
A Rigorous Lower Bound for the Optimal Value of Convex Optimization Problems
inferredcites →https://doi.org/10.1023/b:jogo.0000044770.73245.14openalex-snapshot
Advances in Interval Methods for Deterministic Global Optimization in Chemical Engineering
inferredcites →https://doi.org/10.1080/00401706.1985.10488009openalex-snapshot
Numerical Methods for Estimating Parameters in Nonlinear Models With Errors in the Variables
inferredcites →https://doi.org/10.1093/imamat/10.1.118openalex-snapshot
On the Automatic Scaling of Matrices for Gaussian Elimination
inferredcites →https://doi.org/10.1137/0727047openalex-snapshot
Preconditioners for the Interval Gauss–Seidel Method
inferredcites →https://doi.org/10.1137/s0895479893251198openalex-snapshot
Computing Exact Componentwise Bounds on Solutions of Lineary Systems with Interval Data is NP-Hard
inferredcites →https://doi.org/10.1145/198429.198433openalex-snapshot
Algorithm 737: INTLIB—a portable Fortran 77 interval standard-function library
inferredcites →https://doi.org/10.1145/321062.321069openalex-snapshot
`` Direct Search'' Solution of Numerical and Statistical Problems
inferredcites →https://doi.org/10.1145/366604.366632openalex-snapshot
Algorithm 178: direct search
inferredcites →https://doi.org/10.1201/9780203026922openalex-snapshot
Global Optimization Using Interval Analysis
inferredcites →https://doi.org/10.2307/1268363openalex-snapshot
Nonlinear Parameter Estimation
inferredcites →https://doi.org/10.2307/2153591openalex-snapshot
Global Optimization Using Interval Analysis.
inferredcites →https://doi.org/10.5860/choice.39-3424openalex-snapshot
Applied interval analysis

What points at this work

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

inferred← citeshttps://doi.org/10.1002/aic.10917openalex-snapshot
Finding limiting flows of batch extractive distillation with interval arithmetic
inferred← citeshttps://doi.org/10.1002/aic.11490openalex-snapshot
Reliable computation of equilibrium cascades with affine arithmetic
inferred← citeshttps://doi.org/10.1002/aic.11777openalex-snapshot
Computation of an extractive distillation column with affine arithmetic
inferred← citeshttps://doi.org/10.1002/aic.12362openalex-snapshot
Computing multiple steady states in homogeneous azeotropic and ideal two‐product distillation
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Equation‐oriented flowsheet simulation and optimization using pseudo‐transient models
inferred← citeshttps://doi.org/10.1002/jcc.20285openalex-snapshot
Deterministic global optimization of molecular structures using interval analysis
inferred← citeshttps://doi.org/10.1007/978-0-387-74759-0_350openalex-snapshot
LP Strategy for Interval-Newton Method in Deterministic Global Optimization
inferred← citeshttps://doi.org/10.1007/978-1-84800-326-2_1openalex-snapshot
Fundamentals of Interval Computing
inferred← citeshttps://doi.org/10.1007/978-3-319-04280-0_6openalex-snapshot
Interval Linear Programming Techniques in Constraint Programming and Global Optimization
inferred← citeshttps://doi.org/10.1007/978-3-642-29828-8_1openalex-snapshot
A Contractor Based on Convex Interval Taylor
inferred← citeshttps://doi.org/10.1007/s10898-008-9332-8openalex-snapshot
A review of recent advances in global optimization
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Upper bounding in inner regions for global optimization under inequality constraints
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Reliable Modeling and Optimization for Chemical Engineering Applications: Interval Analysis Approach
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Molecular-Level Modeling and Simulation in Process Safety
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Finding all real solutions of nonlinear systems of equations with discontinuities by a modified affine arithmetic
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Pseudo-transient models for multiscale, multiresolution simulation and optimization of intensified reaction/separation/recycle processes: Framework and a dimethyl ether production case study
inferred← citeshttps://doi.org/10.1016/j.fluid.2007.04.005openalex-snapshot
Reliable computation of binary parameters in activity coefficient models for liquid–liquid equilibrium
inferred← citeshttps://doi.org/10.1016/j.fluid.2009.01.007openalex-snapshot
Gibbs free energy minimization for the calculation of chemical and phase equilibrium using linear programming
inferred← citeshttps://doi.org/10.1016/j.fluid.2012.04.002openalex-snapshot
Convex envelope method for the determination of fluid phase diagrams
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A practical method for the calculation of liquid–liquid equilibria in multicomponent organic–water–electrolyte systems using physicochemical constraints
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Chemical equilibrium analysis of energetic materials using Particle Swarm Optimization
inferred← citeshttps://doi.org/10.1016/s1570-7946(05)80232-9openalex-snapshot
Use of interval optimization for finding limiting flows of batch extractive distillation
inferred← citeshttps://doi.org/10.1021/acs.iecr.8b00578openalex-snapshot
A Novel Method To Find All Physical Solutions of Constrained Chemical Engineering Models in Polynomial Equations
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Deterministic Global Optimization for Parameter Estimation of Dynamic Systems
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Modeling Liquid−Liquid Equilibrium of Ionic Liquid Systems with NRTL, Electrolyte-NRTL, and UNIQUAC
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Asymmetric Framework for Predicting Liquid−Liquid Equilibrium of Ionic Liquid−Mixed-Solvent Systems. 2. Prediction of Ternary Systems
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Locating stationary points of sorbate-zeolite potential energy surfaces using interval analysis
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An Interval Filtering Operator for Upper and Lower Bounding in Constrained Global Optimization
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Reliable computation of phase stability and equilibrium using interval methods
inferred← citeshttps://doi.org/10.1609/aaai.v25i1.7817openalex-snapshot
Inner Regions and Interval Linearizations for Global Optimization
inferred← citeshttps://doi.org/10.70675/51b6bebaz296fz4ec1zb635z843bb3323895openalex-snapshot
Méthodes à intervalles et stratégies de parcours d'arbre pour l'optimisation globale
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Étalonnage des robots à câbles : identification et qualification
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