Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.

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What is that Root[…] inside the answer represent? [duplicate]

So I am encountering this situation, in which mathematica doesn't give me the answer, but in a form of "Root". How do I interpret this ? what is the number after the "&" represent? How should I ...
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0answers
42 views

1D bin packing solution with NMinimize or NMaximize (use minimal office space) [on hold]

I want to use NMinimize to solve a 1D bin packing problem. The goal is to assign a large number of staff to as few rooms as possible. The empty rooms can then be sub-let and generate income. Hence ...
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2answers
95 views

Minimize loop optimization

I'm new in Mathematica 10. So far, I have a two variable-function and I've use Minimize to find the optimal solution. Nevertheless, I'd like to make a sensibility analysis and study how this optimal ...
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0answers
28 views

EvaluationMonitor is evaluating up to 3232 steps [on hold]

I have the following objective function which I want to minimize using simulated annealing. fourVertIsoHamilt[x11_, x12_, x13_, x14_, x21_, x22_, x23_, x24_, x31_, x32_, x33_, x34_, x41_, x42_, ...
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0answers
160 views

Problems extending NelderMeadMinimize into 2D

I've been playing around with Oleksandr's compiled Nelder-Mead Minimization function presented here: Shaving the last 50 ms off NMinimize First, I'll create some sample data. This creates a noisy ...
6
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1answer
846 views

Linear programming with many variables and parameters

I am trying to reconstruct the answer that is given in this report. (page 153 in Appendix B; Section B.2.1). They are given variables, parameters, constraints, and the objective function to minimize. ...
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0answers
66 views

FindMinimum slower in MMA10

I've recently updated one of my PCs (both have the exact same build) to Mathematica 10. After running the exact same notebook (which has two FindMinimum calls) on ...
7
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2answers
180 views

Using least independent rectangle area to separate every point

Description I want to add vertical line and horizonal lines between data to make every point have an independent rectangle area. In addtion, every independent rectangle has a number ...
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1answer
52 views
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0answers
46 views

on convergence in optimization [closed]

I am trying to solve a nonlinear programming problem using FindMinimum solver on Mathematica. When I execute, it is printing FindMinimum::eit: "The algorithm does not converge to the tolerance of ...
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1answer
53 views

2D Arrangment/Optimization Problem

Okay, I have a list of angles, call it A. How would I arrange them in a 2D m-by-n grid G such that the distances between each adjacent angle-element (row- and column-wise) is minimized? G has as ...
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0answers
37 views

Plotting four optimization solutions together on one plot [closed]

I have three variables. One of them might be a constant. I have four functions. I would like to plot them in a special way. Different pairs of variables give different values for each function. I ...
4
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4answers
244 views

How can I name “a[[i]]” the parts of Table “a”? Or how to make Table “a” grow inside FindMinimum?

Let's say I want to minimize a function that uses a Table named a with the Conjugate Gradient Method of ...
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0answers
51 views

Speeding up NDSolve for system of differential equations

I am wondering if there is a way to speed up this function that solves a system of ordinary differential equations with NDSolve? Thus far I've tried specifying a few different methods such as LSODA, ...
6
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1answer
360 views

Simulated Annealing Convergence

I am using Simulated Annealing method for a simulation based optimization of a process that has 3 variables, using NMinimize. I print the input/output during every ...
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3answers
176 views
1
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1answer
54 views

What domain does Resolve assume by default?

Consider the statement: $\forall x\left(x<7\Rightarrow \exists a\exists b\exists c(a^2+b^2+c^2=x)\right)$ This is true provided the universe of discourse is $\mathbb{N}$ Now I use ...
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1answer
40 views
0
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1answer
71 views
16
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2answers
482 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 ...
13
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2answers
832 views

Faster way to compute the distance from a point to a surface in 3D

I am trying to compute the shortest distance between a point and a triangle in 3D ...
56
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2answers
3k views

Shaving the last 50 ms off NMinimize

The epilogue: A paper where the below answer is used was published. The answer below is cited among the references:) The background: I have to fit an objective function for ~10 000 datasets in near ...
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0answers
22 views

Pass model parameters to NDSolve'Reinitialize

I am wondering if there is a way to pass parameter values during the NDSolve'Reinitialize step of the NDSolve process? I've read that one way to possibly speed up repeated calls to NDSolve is to ...
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0answers
20 views

NMinimize of a Differential equation

f[kpr,tn,tv] is a Block for the Differential equations of a simple control loop with a PID-controller. It calculates the the response x[t] and integrates the t-weighted area under the response. The ...
6
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2answers
591 views

Distribution of 10 points within a unit square

Related to some packing problems, following problem arose: Distribute 10 points within a square of sides 1, so that minimal distance between them is maximized. With the help of random simulation, or ...
8
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8answers
633 views

Finding maximum or minimum of implicit functions

is there any built in function that can be used to find maximum or minimum of implicit functions? For example, if we have the equation $$x^2 + y^2 = (2 x^2 + 2 y^2 - x)^2,$$ then we can visualize the ...
1
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1answer
224 views

Solving a System of four equations (with logs) [closed]

I am trying to solve a system of four equations in four variables. I have read a number of threads on similar issues and tried to follow the suggestions. But I think it is a bit messy because of the ...
0
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1answer
56 views

Finding the right DeleteCases pattern for <<199>>

I have a list in Mathematica with several items like <<199>> and <<104>>, I would like to get rid of them using DeleteCases, but none of the patterns I ...
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0answers
36 views

How do I estimate the Pareto front in my multiobjective optimization problem?

I need to minimize a function of two parameters that gives two "stress" outputs {A,B} = f[tau,mu]. How do I estimate (even roughly), the Pareto front for this ...
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1answer
92 views

How to include constraints in `NMaximize`

I am trying to find maximum likelihood estimates of parameters for a fairly complicated multivariate distribution. The support of the distribution depends on its parameters so I need to include some ...
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0answers
50 views

Solve set of non-linear equations with least-squares-fitting - constrain results?

I'm trying to solve a set of functions to determine the material properties from a set of measurement values. (To set up this method I just want to fit my model with some already calculated data). My ...
6
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1answer
255 views
0
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1answer
75 views

Mathematica won't maximize my function

I'm trying to maximize two functions. For the first one, the code runs correctly and returns the desired answer ...
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2answers
117 views

Fitting a variable using multiple equations

I would like to find the best fit of two variables for a number of approximate equations, such as: 1x+2y+2=7.04 2x+y+4=7.98 1.5x+1.5y-2=2.53 1.8x+3y-1=6.77 That ...
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1answer
90 views

Mathemathica: How to plot diagram? [duplicate]

i want to plot a diagram by this command using mathemathica. but it plotted as a beeline while it must be have a bit aberration.what is my fault in plotting? i want to display my diagram such as ...
0
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0answers
59 views

NMinimize not starting [duplicate]

I am new to Mathematica so I might be asking a trivial question, although I wasn't able to resolve it for several days. I am trying to optimize a 7x7 matrix with 12 variables with a certain evaluation ...
2
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2answers
106 views

Maximum of Minimum of a two variable function

I have F[x, y] := (y/2)(2 Cos[2x] + 2 Cos[x] + 1)/5 + ((1 - y)/2)(2 Cos[x] + 1)/3. I am looking for the maximum of the minimum of ...
8
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1answer
115 views

Experimental`NumericalFunction in NMinimize solution

I try to make a number of optimizations using this code: ...
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3answers
93 views

Why does Maximize return a wrong answer?

I want to find the maximum of the following function, but get a wrong result. What am I doing wrong? ...
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0answers
47 views

How to find a scaling parameter in matrix inversion process by MMA?

I simply would like to find the inverse of a given matrix $A$ by the iterative method $X_{k+1}=X_k(2I-AX_k)$ using $X_0=\frac{1}{\sigma_{max}^2}A^*$. An example is as follows ...
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0answers
62 views

How to solve a signaling game in Mathematica (game theory)

A signaling game is within the field of game theory, and more information can be found here. I would like to know, how one can solve such a game, by finding the Baysian Nash equilibrium in ...
0
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0answers
45 views

Optimization without evaluating the analytical expression?

Firstly, forgive me for my lack of knowledge of programming and Mathematica. I have an optimization problem involving very large matrices when they are in analytical form. If I tried to generate ...
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57 views

How to minimize the sum of squares of deviations from the mean?

I am trying to minimize the sum of squares of a deviation from the mean applying the following: Minimize[Sum[(Subscript[x, i] - \[Mu])^2, {i, 0, n}], x] It ...
8
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1answer
215 views

Fitting Vogel's formula for phyllotaxis to the image of a flower

After having read this question I was inspired to investigate how we could take an image of a plant displaying phyllotaxis and fit Vogel's model of phyllotaxis to the image. The theory is very simple. ...
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0answers
40 views

Constraint minimization with NMinimize

I am using the following code in order to minimize the function chi ...
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0answers
48 views

Interpreting a certain result of Minimize

I am given a certain function $f(k_1)$ that I would like to minimize. Asking Mathematica to do it (and supplying the given bounds of other parameters in the expression) I get the following result: ...
1
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2answers
132 views

Solve within a range?

Is it possible to solve an equation in which some some of the parameters have defined ranges? Example: ...