# Tagged Questions

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

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### Problems with NMaximize [duplicate]

The Objective function I would like to Maximize takes less than a second to evaluate. There are several packages needed to evaluate it, so I'm not showing it here. ...
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### Time limit NMaximize [closed]

Is it possible to time limit NMaximize? It is taking so long to evaluate my minimum, that I would like to see if it is doing what I expect it to do. So I was thinking of time limiting it in order to ...
60 views

### Minimize with Interval restriction

If for instance I have a problem of this sort: ...
36 views

### Is it possible to get the error estimates of predicted values computed by FindMinimum using the Levenberg Marquardt method?

I use the LevenbergMarquardt method of the FindMinimum function to minimize a residual function (mathematical-optimization). This residual function is computed from experimental data and the solution ...
46 views

### Check if interpolated function passes through a specified region

Is there an efficient way to check if a curve that was obtained as an Interpolating Function (from solving differential equations numerically) passes through a given region? I am solving for two ...
70 views

### Pareto optimal fronts using internal function?

Reading this question: How do I estimate the Pareto front in my multiobjective optimization problem? I found @Daniel Lichtbau's interesting answer. Yet I don't know how such an "internal function" ...
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### Optimize a parametric matrix to get a lowest possible eigenvalue

This question is a followup of Plot the lowest eigenvalues of a parametric matrix Now I can get the lowest eigenvalue LowEign(t) of the matrix for a given t numerically. When I plot the LowEign ...
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### Can I hold a condition in NMaximize/NMinimize?

I'd like to use NMaximize/NMinimize with the condition ...
166 views

### Use NMinimize instead of FindFit for constrained search (of coefficients)

(My problem is more complex, but let us formulate it through this example) I am trying to find the best polynomial approximation to the following function ...
227 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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### Find the minimum element of a row of a matrix and its column index for each row

I am trying to find the minimum value of a row of a matrix and its corresponding column. Please run the code below. OptV is the matrix that I would like to create which must give the output of the ...
55 views

### recursively structuring a multivariate numerical optimization

Suppose that I want to partition the unit interval [0..1] into four subintervals whose max length is as short as possible. I can ask Mathematica to: ...
48 views

### Value Iteration (Recursive iteration) to Minimize (Optimize) a Function

I have a function that I call as "Value". I am trying to find the minimum of this function and this function is a function of 4 other functions. One of these four functions is recursive based on the ...
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### Complicated implicit plotting - can it be tackled?

I'm quite new to Mathematica and have already spent tons of time on problems of this type, browsing through tutorials and topics here. I'm now coming to conclusion that it cannot be done and am about ...
494 views

### How to find local minima of data using PeakDetect

One of the great new function in v10 is PeakDetect. It can detect peaks (local maxima) according to desired sharpness as shown in this example: ...
1k views

### Finding all maxima and minima of a function

To find all (global and local) extrema of a function in $\mathbb R^3$, I have written the following. Example function: ...
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### Verify angle pi/4 maximizes launch range [closed]

I'm solving the equation of motion for a projectile in the x, y plane and got this: R = v0^2 sin(2 theta) / g where R is the range of how far the object will ...
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### Find value of parameter such that the maximum value of a function satisfies a condition

I have defined a function x3 as follows: ...
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### best way for finding approximate root of monotonic sawtooth like function

First I will generate such kind of monotonic sawtooth like function called func ...
119 views

### A case of complicated fitting of multiple datasets

I've stumbled upon a difficulty while trying to do some fitting which may be called sorta complicated. I'll try to introduce my problem step by step. To begin with, I have a number of datasets ...
106 views

### Maximize a variable in NSolve Function

I want to solve a set of trigometric coupled equations with the NSolve funcion while at the same time trying to maximize a variable which has to be real and between ...
95 views

### LinearProgramming returns an invalid null solution that apparently doesn't satisfy constraints without any warning

Bug introduced in 10.3.1 or earlier and persisting through 10.4.1 While searching to answer the question Solving the magic backyard puzzle with MMA at some time I composed a set of arguments ...
326 views

### Indicate minimal path sum

Described on the page: http://www.mathblog.dk/project-euler-81-find-the-minimal-path-sum-from-the-top-left-to-the-bottom-right-by-moving-right-and-down/ It is an example of the solution indicated in ...
67 views

### find all global minima (there is more than one global minimum)

I have a function with two global minima, I would like mathmatica to find both of them. for example I have the function: and I'm trying to find both global minima using: ...
261 views

### Minimize sum of array elements subject to conditions

I have array where each point at different times are shown parameters ...
226 views

### Using the Levenberg - Marquardt algorithm to minimize a user-defined function

I wrote a function in Matlab that optimizes another user defined function using lsqnonlin with 'levenberg-marquardt' option. Now, I'd like to use the first to ...
18 views

### Using function calls as arguments of the objective function in Nminimize

I am trying to run NMaximize as follows: ...
421 views

### Numerical optimal control

I was hoping to tackle optimal control using Mathematica in order to learn how I can use Mathematica's built in numerical integration and optimization functions together in order to solve an optimal ...
42 views

### Using ParametricPlot to Display result of Maximize

One would expect that: Plot[f[x],{x,0,1/2}] and ParametricPlot[{x,f[x]},{x,0,1/2}] would always yield identical outputs. ...
96 views

### How to Find minimum and maximum using FindMaximum[] and FindMinimum[]

this is the data that i use to plot. data_damped_osccilation this is my code so far, however it still give me error ...
59 views

### Maximize: specify the range of a parameter

I am trying to do symbolic maximization of a function, and would like to specify the range of a parameter of that function. I am able to set constraints of the variable I am maximizing over, but am ...
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### Finding minima of a function: Ways to speed up the code [duplicate]

I am quite new to Mathematica. I tried to calculate all minima of the function of interest as follows: ...
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### Bounding parameters in optimization problems

The following outputs answers for a variety of cases for the parameters, a and b: ...
164 views

### Find the maximum Z in {(X + Y)==Z} using all the digits 0-9 only once

II want to add two integers with different digits to get a third integer with different digits. At the end, all 10 digits have to be different. So there should be 10 digits in total. How you ...
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### Writing a function that finds the difference between two maxima

Suppose i have two functions: $\qquad -2x^2 +5x+3$ and $\qquad -5x^2 +2x+3$ To solve the point where the functions are at maximum i use the command NMaximize ...
My model: $y_t=\beta_1+\beta_2x_{2t}+\beta_3x_{3t}+u_t$, with $u_t\sim N(0,\sigma^2)$. My sample is of size 50. I'm trying to do a parametric bootstrap for the t-statistic of $\beta_3$, and I'm ...