Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.
5
votes
1answer
248 views
Defining a non-linear optimization-problem
Consider the following non-linear optimisation problem:
...
8
votes
1answer
900 views
Solve Lagrange multipliers optimization problem
I have two nested solid figure, where $V(a,h,\tau)$ defines the volume and $A(a,h,t)$ defines the surface. The outer solid figure is parametrized in $a_s$,$h_s$ and $t_s$ (they share a common center). ...
9
votes
2answers
391 views
Maximizing a function with assumptions
Using
f[s_] := Log[(s/r)^α ((α - 2) n0 r^α + 2 π Pmax ρ r^2)
/((α - 2) n0 s^α + 2 π Pmax ρ s^2)]/s
When I run the following line:
...
14
votes
1answer
345 views
Obtain approximate Hessian using FindMinimum
According to the documentation, when FindMinimum is told to use the method "QuasiNewton" on a unconstrained problem, it uses the ...
4
votes
1answer
161 views
Why is this minimization with Boole functions failing?
I am running this command in Mathematica 8.0.4.0:
...
9
votes
3answers
234 views
Strange domain dependency with Maximize
I'm using Mathematica 8 and strangely enough this code:
Maximize[{x*(1-0.01 x),x>0},x,Integers]
produces the result ...
0
votes
1answer
286 views
Symbolic Optimisation
I'm trying to solve symbolically the following optimisation:
$$
\min_{q_uu}\ \Biggl[ q_u q_{uu}\psi B_{uu} + q_u q_{ud}\psi B_{ud} + q_d q_{du}\psi B_{ud} + q_d q_{dd}\psi B_{dd}
$$
$$
+ ...
12
votes
4answers
1k views
Minimizing a function of many coordinates
I'm trying to obtain a series of points on the unit sphere with a somewhat homogeneous distribution, by minimizing a function depending on distances (I took $\exp(-d)$). My points are represented by ...
7
votes
1answer
340 views
Using Mathematica to help to determine the consistency of and numerically solve systems of non-linear equations
The formal problem
The question I am about to ask is applicable to many scientific and engineering problems. In short, I am bout to ask for pointers and practical advice for Mathematica beginners who ...
