On One Problem of the Nonlinear Convex Optimization

In this short paper, we study the problem of traversing a crossbar through a bent channel, which has been formulated as a nonlinear convex optimization problem. The result is a MATLAB code that we can use to compute the maximum length of the crossbar as a function of the width of the channel (its tw...

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Bibliographic Details
Published in:AppliedMath 2022-12, Vol.2 (4), p.512-517
Main Author: Vrabel, Robert
Format: Article
Language:English
Subjects:
convex optimization
MATLAB
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Summary:In this short paper, we study the problem of traversing a crossbar through a bent channel, which has been formulated as a nonlinear convex optimization problem. The result is a MATLAB code that we can use to compute the maximum length of the crossbar as a function of the width of the channel (its two parts) and the angle between them. In case they are perpendicular to each other, the result is expressed analytically and is closely related to the astroid curve (a hypocycloid with four cusps).
ISSN:2673-9909
2673-9909
DOI:10.3390/appliedmath2040030