# Tagged Questions

A non-linear optimization problem includes an objective function (to be minimized or maximized) and some number of equality and/or inequality constraints where the objective or some of the constraints are non-linear. Use this tag for questions related to the theory of solving such problems or for ...

105 views

### Proving Convergence of a Derivative Free Method

Hopefully this question is on topic for the mathematics community (rather than the statistics) since the optimization method I am using relies on a statistical model. Well I am building an algorithm ...
25 views

25 views

### Linearizing a constraint for ILP

I have binary variables $x_{ij}$. One of my constraint is $$\sum\limits_{i}\sum\limits_{j} x_{ij}*f_i(\sum\limits_{j}x_{ij})\leq B \$$ where my $f_i()$ is implemented as a table. Will it be ...
14 views

36 views

### $f (x_1,x_2)=x_1^2+x_2^3$ Finding if a local minimum exist

Why is $(0,0)$ not a local minimizer for $f (x_1,x_2)=x_1^2+x_2^3$? Because $(0,0)$ is a critical point and Hessian matrix at $(0,0)$ is positive semi definite. Therefore isn't it a local minimum ...
126 views

### Finding global maximizers and minimizers

I want to find if global maximum or minimum exists in $f(x,y)=e-^{(x^2+y^2)}$ I found that (0,0) is the only critical point. In the Hessian matrix $H_{(f)}(0,0)$ was negative definite and so (...
176 views

### How to determine Coercive functions

A continuous function $f(x)$ that is defined on $R^n$ is called coercive if $\lim\limits_{\Vert x \Vert \rightarrow \infty} f(x)=+ \infty$. I am finding it difficult to understand how the norm of ...
10 views

### Is s-energy, specifically logarithmic energy, based on function -log(d) or log(d) with distance d?

There was an earlier question about s-energy; I think I got the point. However, in various problem settings I see one is interested maximising pairwise distances between points and, there they say, ...
23 views

### Are the number of Employed bees and onlooker bees always the same in Artificial Bee Colony optimization?

I have been recently introduced to this Artificial Bee Colony algorithm. Lets consider the initial guess and assume that half of the bees are employed and the rest half are onlookers. Once the ...
62 views