Articles with "homotopy methods" as a keyword



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A Comparison of Normal Cone Conditions for Homotopy Methods for Solving Inequality Constrained Nonlinear Programming Problems

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Published in 2020 at "Advances in Mathematical Physics"

DOI: 10.1155/2020/5483587

Abstract: Homotopy methods are powerful tools for solving nonlinear programming. Their global convergence can be generally established under conditions of the nonemptiness and boundness of the interior of the feasible set, the Positive Linear Independent Constraint… read more here.

Keywords: homotopy methods; normal cone; nonlinear programming; cone conditions ... See more keywords
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Smoothing Homotopy Methods for Solving Nonlinear Optimal Control Problems

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Published in 2023 at "Journal of Guidance, Control, and Dynamics"

DOI: 10.2514/1.g006977

Abstract: Inspired by the widely used smoothing techniques in image processing and statistical analysis, a novel smoothing homotopy paradigm is proposed in this paper for solving general optimal control problems with the indirect method. In contrast… read more here.

Keywords: smoothing homotopy; control; homotopy methods; control problems ... See more keywords