can we solve linear matrix inequalities by using only matrix forms?

Otankhan

2022 11 21

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I have LMI problem. Is there any tool to solve it just by using Matrix forms. For example I want to solve Ax>b for x. So I just initialize matrix A and vectro b and then find x. because to write LMI not in matrix from it needs approximately 16 lines, which is a lot of time

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Otankhan 2022-11-21

it was just wrong example, but yes my problem is about finding A

Matt J 2022-11-21

编辑：Matt J 2022-11-21

But you said above that you want to find x? If that's still what you want, please engage the answer below. Otherwise, edit your original post to clarify what you want.

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Matt J 2022-11-21

在 MATLAB Online 中打开

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As Torsten says, A*x>b generally corresponds to not one x, but an entire polyhedral region of them. However, if the region is bounded, you can obtain the vertices of the region by downloading,

https://www.mathworks.com/matlabcentral/fileexchange/30892-analyze-n-dimensional-convex-polyhedra

xVertices=lcon2vert(-A,-b);