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5 votes
2 answers
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Julia JuMP successive optimization

I am using Julia's JuMP package to solve a cutting-plane method. Namely, I solve a sub-problem, find the most-violated constraint in the master problem, add that to ...
independentvariable's user avatar
6 votes
1 answer
352 views

Compute Scaling factor(s) for linear constraint ($A@x<b$)

We optimize large-scale optimization problems with tens of thousands of variables and constraints with Cvxpy + Commercial solvers (e.g. Gurobi, Mosek). The coefficient range easily exceeds the ...
pqrz's user avatar
  • 470
3 votes
1 answer
195 views

Mosek Fusion APIs

Does anyone know if there is a list of available function APIs for Mosek Fusion APIs? Namely, what functions are available, their arguments list and meaning, what they do. Something similar to UNIX ...
inf's user avatar
  • 129
3 votes
1 answer
252 views

Are short-sell allowed in conic formulation of Markowitz optimization?

Sorry to ask a question about the basic Markowitz portfolio optimization. The example is from Mosek's example book. The basic Markowitz portfolio optimization is formulated as: The book mentioned we ...
inf's user avatar
  • 129
1 vote
1 answer
204 views

Questions on Mosek Fusion Power Cone example

Just trying to understand the example given in Mosek Fusion handbook as shown I'm not exactly sure how to convert 7.3 to 7.4 in terms of objective function. I understand the power cone $P_{3}^{0.2, 0....
inf's user avatar
  • 129
5 votes
1 answer
233 views

Which solver solves PSD constrained convex non-linear problem

I have a problem with a vector variable $w \in \mathbb{R}^n$ and a symmetric matrix variable $V \in \mathbb{R^{n \times n}}$. I am solving a problem which is roughly like: \begin{align} \begin{array}{...
independentvariable's user avatar