Cluster Gauss-Newton method. An algorithm for finding multiple approximate minimisers of nonlinear least squares problems with applications to parameter estimation of pharmacokinetic models

DOI10.1007/s11081-020-09571-2zbMath1492.90168arXiv1808.06714OpenAlexW3094962213MaRDI QIDQ2138298

Kota Toshimoto, Yuichi Sugiyama, Yasunori Aoki, Ken Hayami

Publication date: 11 May 2022

Published in: Optimization and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06714

zbMATH Keywords

parameter estimationderivative-free methodnonlinear least squares problemcluster Newton methodmulti-start methodphysiologically based pharmacokinetic (PBPK) model

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Nonlinear programming (90C30)

Uses Software

• Matlab
• ggplot2
• IMFIL
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite
• libEnsemble
• Chaospy
• DFO-GN

Cites Work

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• Conditioning of Quasi-Newton Methods for Function Minimization
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