# Solve Linear Matrix Inequality in Julia

**URL:** https://discourse.julialang.org/t/solve-linear-matrix-inequality-in-julia/65592
**Category:** New to Julia
**Tags:** optimization
**Created:** [July 31, 2021, 10:28am UTC](https://discourse.julialang.org/t/solve-linear-matrix-inequality-in-julia/65592 "2021-07-31T10:28:31Z")
**Posts on this page:** 2
**Page:** 1

<div class="post-metadata">

### Author: ![aiiiob\_bie](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/aiiiob_bie/32/27296_2.png) [@aiiiob\_bie](https://discourse.julialang.org/u/aiiiob_bie)
#### Post date: [July 31, 2021, 10:28am UTC](https://discourse.julialang.org/t/solve-linear-matrix-inequality-in-julia/65592/1 "2021-07-31T10:28:31Z")

</div>

Dear Friends

I need to solve an LMI as follows

As I am a beginner to Julia I do not know how to solve it

(build it in Julia context) and which commands are appropriate.

here is the problem  
 ![lmai sampl](https://global.discourse-cdn.com/julialang/original/3X/f/7/f78567dbca46674ca663baa952b80fe41919c4a9.png)

I need to find P

I appreciate your help with this.

---

<div class="post-metadata">

### Author: ![rafael.guerra](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/rafael.guerra/32/216610_2.png) [@rafael.guerra](https://discourse.julialang.org/u/rafael.guerra)
#### Post date: [July 31, 2021, 11:29am UTC](https://discourse.julialang.org/t/solve-linear-matrix-inequality-in-julia/65592/3 "2021-07-31T11:29:04Z")

</div>

Linking to a related post [here](https://discourse.julialang.org/t/moving-from-lmi-toolbox-matlab-to-juliaopt/21001/2).