Questions tagged [cvxpy]
CVXPY is a Python-embedded modeling language for convex optimization problems.
5
questions with no upvoted or accepted answers
2
votes
0answers
105 views
Understanding Illumination Optimisation Problem
I am a newbie to convex optimisation and I am learning with the aid of CVXPY. I am requesting for clarity on the illumination problem as described in Boyd & Vandenberghe lecture 1 slides here. I ...
1
vote
0answers
66 views
Why is the problem infeasible?
Given $\mathbf V_t=\mathbf v_t\mathbf v_t^H$ where $\mathbf v_t=\left(e^{j\theta_{1}},e^{j\theta_{2}}\right)^H$:
\begin{equation*}
\begin{array}{ll}
\underset{\mathbf V}{\operatorname{minimize}} & ...
1
vote
0answers
70 views
Ramp least squares estimation
With some given $s$ value, let
\begin{equation}
\begin{aligned}
h(\beta)&=\min(\sum_{i=1}^n(Y_i - X_i\beta)^2, s)\\
&=\sum_{i=1}^n(Y_i - X_i\beta)^2-\max(0, \sum_{i=1}^n(Y_i - X_i\beta)...
1
vote
0answers
46 views
least squared optimization
I want to decompose a list of 3D vectors $X_j$ as linear combination of five 3D verctors $C_k$
$$X_j= \sum_{i=1}^{5}{w_{ji}C_i}$$ both $X_j$ and $C_i$ are 3 components vectors
$$C= \begin{bmatrix} ...
1
vote
0answers
84 views
Best optimizer for unconnstrained non-convex nonlinear least-square optimization problem?
I am looking for a very good optimizer to the following problem:
$$\min_{P,\Theta}\lVert APD(\Theta)P^{-1} -B \rVert_F$$
where $A,B \in \mathbb{R}^{n\times m}$, $P \in \mathbb{R}^{m\times m}$, $D\in \...
