Convergence of the Nelder-Mead Simplex Method to a Nonstationary Point

No abstract is available for this paper.

• Publication year

  1998

• Venue

  SIAM Journal on Optimization

• Publication date

  1998-05-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1137/S1052623496303482
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Fortified-Descent Simplicial Search Method: A General Approach

  1999cited by this paper
• ON THE CONVERGENCE OF PATTERN SEARCH ALGORITHMS

  1997influential reference
• On the Convergence of the Multidirectional Search Algorithm

  1991cited by this paper
• Direct Search Methods on Parallel Machines

  1991cited by this paper
• Multidirectional search: a direct search algorithm for parallel machines

  1989cited by this paper
• Multidirectional search: a direct search algorithm for parallel machines

  1989cited by this paper
• New computing environments : microcomputers in large-scale computing

  1987cited by this paper
• An interactive approach for solving multi-objective optimization problems (interactive computer, nelder-mead simplex algorithm, graphics)

  1985influential reference
• Optimization on Microcomputers: The Nelder-Mead Simplex Algorithm

  1985cited by this paper
• A Simplex Method for Function Minimization

  1965cited by this paper
• Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation

  1962cited by this paper

• On the Use of the Nelder-Mead Simplex Method in Control Design and Systems Theory

  2026cites this paper
• AI-driven design and applications of quantum dots

  2026cites this paper
• On the optimal parameter values of the Nelder–Mead simplex algorithm

  2026cites this paper
• Low-cost pavement roughness evaluation using Inertial Measurement Unit (IMU)-Pulsed Coherent Radar (PCR) sensor fusion

  2026cites this paper
• Lidar observations of turbulence for tall offshore wind turbines

  2026cites this paper
• Reliable machine learning initialization methods for the calibration of Dynamic Energy Budget models

  2026cites this paper
• Analyzing Basins of Attraction in Numerical Minimization

  2026influential citation
• Dispersion Engineered AlGaAs-on-Insulator Nanophotonics by Distributed Feedback

  2025cites this paper
• An improved adaptive quantum genetic algorithm as classical optimizer for the quantum approximate optimization algorithm on MaxCut problem

  2025cites this paper
• Analysis of the influence of cutting parameters on AISI M32C high-speed steel tool temperature using inverse heat conduction techniques

  2025cites this paper
• HHOTuner: Efficient Performance Tuning with Harris Hawks Optimization

  2025cites this paper
• 光纤的模式特性分析技术：从单根光纤分析到全光纤化系统应用（特邀）

  2025cites this paper
• Benchmarking neutral atom-based quantum processors at scale

  2025cites this paper
• Hyperon: An Online Hyperparameter Tuning Approach for Data Stream Learning

  2025cites this paper
• Mitigating Environmental Impact Through the Use of Rice Husk Ash in Sustainable Concrete: Experimental Study, Numerical Modelling, and Optimisation

  2025cites this paper
• Bayesian stochastic frontier models under the skew-normal half-normal settings

  2025cites this paper
• Comparison of two approaches to the design of interference optical elements on photonic crystal structures

  2025influential citation
• Complexity Analysis of the Regular Simplicial Search Method with Reflection and Shrinking Steps for Derivative-Free Optimization

  2025cites this paper
• Stiffness Separation Method for Damage Identification in Continuous Rigid Frame Bridges

  2025cites this paper
• Probabilistic life-cycle landslide assessment subjected to nonstationary rainfall based on alternating stochastic renewal process

  2024cites this paper
• New Diagnostic Assessment of MCMC Algorithm Effectiveness, Efficiency, Reliability, and Controllability

  2024cites this paper
• The Nelder-Mead Simplex Algorithm Is Sixty Years Old: New Convergence Results and Open Questions

  2024cites this paper
• Computational optimisation and modelling of sacrificial anode placement and dimension for maximising the corrosion prevention of screw piles

  2024cites this paper
• A Model for Low-Frequency, Anisotropic Wind Fluctuations and Coherences in the Marine Atmosphere

  2024cites this paper
• Fractional order PID controller design of a DC-DC multilevel boost converter using the Nelder-Mead optimization

  2024cites this paper
• Robust design optimization with limited data for char combustion

  2024cites this paper
• Derivative-Free Global Minimization in One Dimension: Relaxation, Monte Carlo, and Sampling

  2023cites this paper
• Modeling hydration kinetics of sustainable cementitious binders using an advanced nucleation and growth approach

  2023cites this paper
• Fast measurement of surface defects on large components with dynamic phase-shifting digital holographic microscopy

  2023cites this paper
• Adaptive State-Dependent Diffusion for Derivative-Free Optimization

  2023cites this paper
• Multi-stage optimization of centrifugal fan and casing with preliminary design and mesh morphing method

  2023influential citation
• Convexity Not Required: Estimation of Smooth Moment Condition Models

  2023cites this paper
• Improved Operational Capital Allocation Strategies by Quantifying Inflation and Supply Chain Impacts

  2023cites this paper
• Predicting Compressive Strength and Hydration Products of Calcium Aluminate Cement Using Data-Driven Approach

  2023cites this paper
• Roadmapping green economic restructuring: A Ricardian gradient approach

  2023cites this paper
• A Stochastic Convergence Result for the Nelder–Mead Simplex Method

  2023cites this paper
• A numerically efficient output-only system-identification framework for stochastically forced self-sustained oscillators

  2023cites this paper
• Deep learning to predict the hydration and performance of fly ash-containing cementitious binders

  2023cites this paper
• Predicting Flood Water Level Using Combined Hybrid Model of Rainfall-Runoff and AI-Based Models

  2023influential citation
• The Error in Multivariate Linear Extrapolation with Applications to Derivative-Free Optimization

  2023cites this paper
• Weighted Centroids in Adaptive Nelder-Mead Simplex: With heat source locator and multiple myeloma predictor applications

  2023cites this paper
• Stochastic inversion of discrete fracture networks using genetic algorithms

  2023cites this paper
• Identifying design spaces as linear combinations of parameter ranges for biopharmaceutical control strategies

  2023cites this paper
• Empirical networks for localized COVID-19 interventions using WiFi infrastructure at university campuses

  2023cites this paper
• An expectation conditional maximization algorithm for the skew-normal based stochastic frontier model

  2023cites this paper
• A Method for Finding a Design Space as Linear Combinations of Parameter Ranges for Biopharmaceutical Control Strategies

  2023cites this paper
• A new hybrid optimization approach using PSO, Nelder-Mead Simplex and Kmeans clustering algorithms for 1D Full Waveform Inversion

  2022cites this paper
• Predicting Dissolution Kinetics of Tricalcium Silicate Using Deep Learning and Analytical Models

  2022cites this paper
• A survey on multi-objective hyperparameter optimization algorithms for machine learning

  2022cites this paper
• High-dimensional normalized data profiles for testing derivative-free optimization algorithms

  2022cites this paper
• Determining large-strain metal plasticity parameters using in situ measurements of plastic flow past a wedge

  2022cites this paper
• An efficient combined local and global search strategy for optimization of parallel kinematic mechanisms with joint limits and collision constraints

  2022cites this paper
• Meta-Optimization of Dimension Adaptive Parameter Schema for Nelder–Mead Algorithm in High-Dimensional Problems

  2022cites this paper
• Controller Design for Unstable Time-Delay Systems with Unknown Transfer Functions

  2022cites this paper
• Data-driven sensor placement optimization for accurate and early prediction of stochastic complex systems

  2022cites this paper
• A Deep Learning Approach to Design and Discover Sustainable Cementitious Binders: Strategies to Learn From Small Databases and Develop Closed-form Analytical Models

  2022cites this paper
• Modeling the viscoplastic behavior of a semicrystalline polymer

  2022cites this paper
• Particle-filter-based volcanic ash emission inversion applied to a hypothetical sub-Plinian Eyjafjallajökull eruption using the Ensemble for Stochastic Integration of Atmospheric Simulations (ESIAS-chem) version 1.0

  2022cites this paper
• Black-Box Optimization: Methods and Applications

  2021cites this paper
• Constrained Eigenvalue Minimization of Incomplete Pairwise Comparison Matrices by Nelder-Mead Algorithm

  2021cites this paper
• Generalized Poisson Hurdle Model for Count Data and Its Application in Ear Disease

  2021cites this paper
• Artificial intelligence using Nelder-Mead algorithm- based design and performance optimization of microstrip patch antenna

  2021cites this paper
• Particle filter based volcanic ash emission inversion applied to a hypothetical sub-Plinian Eyjafjallajökull eruption using the chemical component of the Ensemble for Stochastic Integration of Atmospheric Simulations (ESIAS-chem) version 1.0

  2021cites this paper
• A convergence analysis of the Nelder-Mead simplex method

  2021influential citation
• A modified simplex based direct search optimization algorithm for adaptive transversal FIR filters

  2021cites this paper
• Design of Optimal Controllers for Unknown Dynamic Systems through the Nelder–Mead Simplex Method

  2021cites this paper
• Experimental investigation on off-design performance and adjustment strategies of the centrifugal compressor in compressed air energy storage system

  2021cites this paper
• An integrated exposure and pharmacokinetic modeling framework for assessing population-scale risks of phthalates and their substitutes.

  2021cites this paper
• A Derivative-Free Optimization Method With Application to Functions With Exploding and Vanishing Gradients

  2021cites this paper
• Multiscale modeling of presynaptic dynamics from molecular to mesoscale

  2021cites this paper
• Changes in Iris Stiffness and Permeability in Primary Angle Closure Glaucoma

  2021cites this paper
• SwarnSeq: An improved statistical approach for differential expression analysis of single-cell RNA-seq data.

  2021cites this paper
• WiFi mobility models for COVID-19 enable less burdensome and more localized interventions for university campuses

  2021cites this paper
• Multiscale modeling of presynaptic 1 dynamics from molecular to mesoscale 2 Mesoscale model of presynaptic dynamics based on MCell 3

  2021cites this paper
• Magnetic Localization System for Short-Range Positioning: A Ready-to-Use Design Tool

  2021cites this paper
• Optimizing Information Transfer Through Chemical Channels in Molecular Communication

  2021cites this paper
• Statistical methods for analysis of single-cell RNA-sequencing data

  2021cites this paper
• Orientation, pattern center refinement and deformation state extraction through global optimization algorithms.

  2021cites this paper
• A survey on multi-objective hyperparameter optimization algorithms for Machine Learning

  2021cites this paper
• Convergence of the Nelder-Mead method

  2021influential citation
• Route Design of a String for a Tying Tool to Bind Wire Harnesses for Airplanes

  2021cites this paper
• A framework based on statistical analysis and stakeholders' preferences to inform weighting in composite indicators

  2021cites this paper
• Smooth Convex Optimization Using Sub-Zeroth-Order Oracles

  2021cites this paper
• A study of the performance of classical minimizers in the Quantum Approximate Optimization Algorithm

  2021cites this paper
• A New Bi-Level Optimisation Framework for Optimising a Multi-Mode Wave Energy Converter Design: A Case Study for the Marettimo Island, Mediterranean Sea

  2020cites this paper
• Model-Based Safety and Assessment: 7th International Symposium, IMBSA 2020, Lisbon, Portugal, September 14–16, 2020, Proceedings

  2020influential citation
• Survey of derivative-free optimization

  2020cites this paper
• Optimal Scheduling of Preventive Maintenance for Safety Instrumented Systems Based on Mixed-Integer Programming

  2020cites this paper
• Exploiting Multi-Level Parallelism for Run-Time Adaptive Inverse Kinematics on Heterogeneous MPSoCs

  2020cites this paper
• A modified Nelder-Mead barrier method for constrained optimization

  2020cites this paper
• Robust Multiscale Identification of Apparent Elastic Properties at Mesoscale for Random Heterogeneous Materials with Multiscale Field Measurements

  2020cites this paper
• Optimization of a Finite-Difference Scheme for Numerical Solution of the Helmholtz Equation

  2020cites this paper
• Identification of Tire Model Parameters with Artificial Neural Networks

  2020cites this paper
• An evaluation of Hamiltonian Monte Carlo performance to calibrate age-structured compartmental SEIR models to incidence data.

  2020cites this paper
• Approximate marginal likelihoods for shrinkage parameter estimation in penalized logistic regression analysis of case-control data

  2020cites this paper
• Combining Cross Entropy and MADS methods for inequality constrained optimization

  2020cites this paper
• A computational bio-chemo-mechanical model of in vivo tissue-engineered vascular graft development.

  2020cites this paper
• A Modified Nelder-Mead Algorithm for Photovoltaic Parameters Identification

  2020cites this paper
• Temperature-dependent Deformation and Fracture Behavior of a Talcum-filled Co-polymer

  2020cites this paper
• Statistical models to capture protein-RNA interaction footprints from truncation-based CLIP-seq data (Statistische Modelle zur Detektion von Protein-RNA Interaktionen aus trunkierungsbasierten CLIP-seq Daten)

  2020cites this paper