I’m struggling to accomplish a basic task with Optim.

Let’s say I defined a function `f(a,x,y) = a + x^2 + y^2`

. I want to minimize this function given initial boundaries: `x0 = [-10, 10]`

, `y0 = [-10, 10]`

and `a = 10, as constant`

.

What do you mean by “initial boundary”? Are you looking for the minimum value of `f`

within those bounds?

Yes. I want the optimizer to find the minimum value of `f`

for `x, y`

within the bounds, as well as return the corresponding `x, y`

values.

You can also use ProximalAlgorithms, see this example.

**Note** that the linked documentation refers to the `master`

branch (a new release will be coming soon, which will then be covered by the documentation).

For fast convergence to high accuracy you can replace the `ffb`

algorithm from the example with something like

```
ProximalAlgorithms.PANOC(verbose=true)
```

(here is the relevant documentation for the algorithm)

Thank you, but the docs don’t specify exactly how to handle multiple variables.

You can use a vector of length 2 as variable: in your example, you’ll be optimizing `f(x) = x[1]^2 + x[2]^2`

.