On the convergence of trust region algorithms for unconstrained minimization without derivatives
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Publication:1928750
DOI10.1007/s10589-012-9483-xzbMath1284.90096OpenAlexW2072070078MaRDI QIDQ1928750
Publication date: 4 January 2013
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-012-9483-x
derivative free optimizationunconstrained minimizationconvergence theorytrust region methodssymmetric Broyden
Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56)
Related Items (14)
A trust-region derivative-free algorithm for constrained optimization ⋮ The convergence theorem for fourth-order super-Halley method in weaker conditions ⋮ On the construction of quadratic models for derivative-free trust-region algorithms ⋮ A derivative-free algorithm for non-linear optimization with linear equality constraints ⋮ A subset-selection-based derivative-free optimization algorithm for dynamic operation optimization in a steel-making process ⋮ Global convergence of a derivative-free inexact restoration filter algorithm for nonlinear programming ⋮ Analysis of semilocal convergence for ameliorated super-Halley methods with less computation for inversion ⋮ Semilocal convergence on a family of root-finding multi-point methods in Banach spaces under relaxed continuity condition ⋮ Semilocal convergence of a computationally efficient eighth-order method in Banach spaces under \(w\)-continuity condition ⋮ A globally convergent trust-region algorithm for unconstrained derivative-free optimization ⋮ Derivative-free optimization methods ⋮ Recent advances in trust region algorithms ⋮ Convergence analysis on a class of improved Chebyshev methods for nonlinear equations in Banach spaces ⋮ Semilocal convergence of multi-point improved super-Halley-type methods without the second derivative under generalized weak condition
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