## Convex.jl

A Julia package for disciplined convex programming
Popularity
510 Stars
Updated Last
11 Months Ago
Started In
March 2014

Hi there! Convex.jl is an old Julia package that has had a number of maintainers and contributors over the years. Most typically, these have been procrastinating graduate students who work on Convex.jl instead of finishing their thesis. However, we can't all be students forever, and so is Convex.jl in need of a new maintainer.

Therefore, Convex.jl is in maintenance mode.

There are still a number of community members who can review and merge pull requests, but they will not be doing any active development.

If you would like to get involved and help revive Convex.jl:

• Join the JuMP developer chatroom at https://gitter.im/JuliaOpt/JuMP-dev to say hi. If you have questions relating to Convex.jl, we may be able to help.
• Start by making some small pull requests to fix any of the open issues.

# Convex.jl

Convex.jl is a Julia package for Disciplined Convex Programming. Convex.jl can solve linear programs, mixed-integer linear programs, and DCP-compliant convex programs using a variety of solvers, including Mosek, Gurobi, ECOS, SCS, and GLPK, through MathOptInterface. It also supports optimization with complex variables and coefficients.

Installation: `julia> Pkg.add("Convex")`

## Quick Example

To run this example, first install Convex and at least one solver, such as SCS:

```using Pkg

Now let's solve a least-squares problem with inequality constraints.

```# Let us first make the Convex.jl module available
using Convex, SCS

# Generate random problem data
m = 4;  n = 5
A = randn(m, n); b = randn(m, 1)

# Create a (column vector) variable of size n x 1.
x = Variable(n)

# The problem is to minimize ||Ax - b||^2 subject to x >= 0
# This can be done by: minimize(objective, constraints)
problem = minimize(sumsquares(A * x - b), [x >= 0])

# Solve the problem by calling solve!
solve!(problem, SCS.Optimizer)

# Check the status of the problem
problem.status # :Optimal, :Infeasible, :Unbounded etc.

# Get the optimal value
problem.optval```

## More Examples

A number of examples can be found here. The basic usage notebook gives a simple tutorial on problems that can be solved using Convex.jl. All examples can be downloaded as a zip file from here.

## Citing this package

If you use Convex.jl for published work, we encourage you to cite the software using the following BibTeX citation:

```@article{convexjl,
title = {Convex Optimization in {J}ulia},
author = {Udell, Madeleine and Mohan, Karanveer and Zeng, David and Hong, Jenny and Diamond, Steven and Boyd, Stephen},
year = {2014},
journal = {SC14 Workshop on High Performance Technical Computing in Dynamic Languages},
archivePrefix = "arXiv",
eprint = {1410.4821},
primaryClass = "math-oc",
}```

Convex.jl was previously called CVX.jl.

### Required Packages

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