All Questions
Tagged with equation-solving mathematical-optimization
211
questions
0
votes
0
answers
28
views
Find the function for a decision variable
I'm currently trying to find the equation for a decision variable from a total profit equation using Mathematica. From what I've read, I can use the solve function to do this. Here's a example i found:...
- 1
4
votes
1
answer
136
views
Findroot :unable to find a solution that meets the convergence criteria
The stationary solutions of the Klein-Gordon equation refer to time-independent solutions, meaning they remain constant over time. For the non-linear Klein-Gordon equation, you are discussing:$$\frac{...
5
votes
1
answer
230
views
Colouring Bifurcation Diagram
I need to plot the bifurcation diagram for the function given below.
g[x_, r_] := 6 x^2 + r x^4 + x^6
Plot[g[x, -4.9], {x, -2, 2}]
Bifurcation
Code for ...
- 2,644
2
votes
0
answers
217
views
Solving `Integrate` of `InterpolatingFunction` from an `NDSolve`
I am interested in solving a system of Differential Equations, particularly
u''[\[Tau]]=-f[t]u[\[Tau]]
This system has for initial conditions $u(0)=1/\sqrt{2\cdot ...
0
votes
0
answers
101
views
Solving an optimization problem with rather complicated functions
I'm trying to solve the following optimization problem.
\begin{aligned}
\max_{e, s} \quad & v=\frac{(\lambda + i)U_{emp}+(1-e)U_{unemp}}{i(1-e+\lambda+i)}\\
\textrm{s.t.} \quad & \lambda = \...
- 765
3
votes
1
answer
200
views
How to find a unimodular integer matrix $T$ satisfying $T^\top A T=B$ given symmetric integer matrices $A,B$?
Given two unimodular symmetric integer matrices $A$ and $B$,
I asked how to find a unimodular integer $T$ that satisfies this nonlinear relation between $T$ and $A,B$ like this in Mathematica:
...
- 251
8
votes
2
answers
388
views
Given square matrices A and B, how to solve T obeys Transpose[T]. A . T = B?
Dear Mathematica experts,
Given two square matrices, A and B, how do we use Mathematica to solve a matrix T such that T satisfies this matrix equation? (Here we have A,B,T $\in$ general linear matrix ...
- 251
0
votes
0
answers
37
views
Use Fitting Parameter from Solve or Nminimize with LinearModelFit
Im Trying to minimize a function by varying parameter "a" with Solve or Nminimize. The Problem is that "a" is dependent on my parameter "R" which is dependent on "a&...
0
votes
0
answers
59
views
How to speed up maximization of the Solve output?
I am trying to maximize the solution of the system of algebraic equations for different values of parameters. The problem is related to the absorbing times in Markov chains.
Here is the code
...
- 1
1
vote
1
answer
68
views
Find an instance satisfying equation
I have the following equation with two variables xi and nu.
...
- 486
1
vote
1
answer
86
views
Minimization of an implicitly specified function
exp - an experimental data, where expT - temperature, expChi - magnetic susceptibility
I ...
- 1,883
0
votes
0
answers
92
views
Why doesn't NMinimize work with NSolve?
Why does NMinimize throw the error and how to fix it?
...
- 1,883
2
votes
3
answers
287
views
How to solve this equation over the integers with Mathematica?
I try to solve with Mathematica 13.3.1 on Windows 10 the problem $$x^2+2^{x^2+1990}-y^2=2^{y^2+y}+y-1990\land x+y>1990,\, x\in \mathbb{Z},\,y\in \mathbb{Z}$$
which originates from Bauman Moscow ...
- 27.2k
0
votes
2
answers
108
views
Why can't NSolve find values that FindInstance can?
I am trying to solve for \[Epsilon], given three input paramters n, x and ...
- 486
1
vote
0
answers
225
views
Help with code for impulsive optimal control problem
I am using Mathematica 13.3 to numerically solve/generate numerical plots for my impulsive control problem.
The optimal control problem is:
T is time from0 to T where T is the terminal time
K(t), B(t) ...
- 11