other:Article Title: Multi-Functional Metamaterials
Article Snippet: We solve the optimization problems with MATLAB’s gradient based solver fmincon, which also allows for linear equality and inequality
Article Title: A continuum model for the elongation and orientation of Von Willebrand factor with applications in arterial flow
Article Snippet: We use the gradient-based minimiser fmincon from MATLAB’s optimisation toolbox to determine the VWF parameters which minimise E . We use the initial guess of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta =0.01\,\text {s}$$\end{document} β = 0.01 s , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\dot{\gamma }=10^4\,\text {s}^{-1}$$\end{document} γ ̇ = 10 s - 1 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha =0.01\,\text {s}$$\end{document} α = 0.01 s , and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta =10^{-4}$$\end{document} δ = 10 - .
Article Title: Identification of subwavelength microstructural information from macroscopic boundary measurements in elastodynamics
Article Snippet: These values are needed to apply the gradient method fmincon in MATLAB®, which solves the minimization problem (4.1) (or (4.2)).
Article Title: Data-driven parameterization of polymer electrolyte membrane fuel cell models via simultaneous local linear structured state space identification
Article Snippet: Finally, the proposed parametrization problem is optimized with MATLAB’s gradient-based optimizer fmincon.
Article Title: Modelling Radiation Cancer Treatment with a Death-Rate Term in Ordinary and Fractional Differential Equations
Article Snippet: Unknown model parameters were fit using the gradient-based fmincon in MATLAB with generous but physiological upper and lower bounds imposed: a , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda _0$$\end{document} λ 0 , \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda _1$$\end{document} λ 1 , and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu $$\end{document} μ must lie in (0.001, 1), and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} α must lie in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(0,\infty )$$\end{document} ( 0 , ∞ ) .
Article Title: Identification of microstructural information from macroscopic boundary measurements in steady‐state linear elasticity
Article Snippet: All these values are needed to apply the gradient method fmincon in MATLAB®, which solves the minimization problem (29).
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