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
Main Author: Robert Vrabel
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Subjects:
convex optimization
MATLAB
Online Access:https://www.mdpi.com/2673-9909/2/4/30
Description
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

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