# Tagged Questions

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

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### How is the multi-class support vector machine classifier implemented? [closed]

I am using support vector machine (SVM) method with Classify to do multi-class. Can anyone tell me the reference (paper) used by Wolfram Mathematica to develop the ...
203 views

### Maximized value of a function as an additional constraint on a variable

I want to maximize a function $f(b, h)$ with respect to its arguments and subject to some additional constraints. If these constraints are satisfied, $f$ is increasing in $h$. I then want to find an ...
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### Find condition under which variables fall away

I have a somewhat lengthy expression, looking like expr = 1 + x + b + Pi + 2*a Is there some way of generating a relationship between ...
67 views

### Running this expression in Minimize function

So I got this expression here (written in pure text): ...
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### Minimization with respect to functional constraints [closed]

I am trying to do the following on Mathematica: Given a pair $(x,y)$, minimize an objective function $f(x,z)$ such that z satisfies $g(x,z) \leq g(x,y)$. I have defined both functions ...
62 views

### Count and NMinimize don't seem to work together

Initially I write down a 2x2 unitary (Uni) , make a tensor product 4 times (LocalUni) and apply it to an initial numerical matrix Rho, to obtain RhoLU, that depends on 12 parameters. This is my code: ...
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### Minimization of linear combination of vectors

Suppose I have a vectors in $\mathbb{R}^{6}$. For example, take the vector $v = k(-2,2,4,6,2,2)$. I would like to find some $k$ with the constraint that the last two components are necessarily non-...
329 views

### Bug in plotting function using FindMinimum?

Bug introduced in 10.0 and persisting through 10.3 or later While working on an answer to RegionPlot from NDSolve, I came across this strange behavior of ...
271 views

### How to find the maximum of this function on the positive real line?

I need to maximize this function on the positive real line: $$\frac{1}{\Gamma(x)^{14}}\cdot\frac{1}{{\frac{323.6}{14x}}^{14x}}\cdot(1.22578*10^{19})^{x-1}e^{-14x}$$ the correct answer should be ...
156 views

### Fitting to the system of equations with no analytical solution

I'm trying to fit linear combination of 2 functions to my experimental data set (it represents voltage of 2 photodiodes - Voc1 and Voc2 - connected in series under illumination - S) ...
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### How to get function output with Manipulate

I have a program, which makes Gauss-Jordan transformations (not too pretty, I suppose). I want to get output with Manipulator like that: Two-Phase Simplex Method with only "step number" slider. One ...
198 views

### ParametricNDSolve[ ] and NMinimize[ ] in Combination

I have the following code that is used to simulate a spacecraft orbiting Mars, and uses ParametricNDSolve to vary the spacecraft's initial conditions using a parameter value ...
286 views

### Find parameters that minimize the distance between two curves in terms of the infinite norm

I am trying to implement a very simple NMinimize code that would search for parameters of a polynomial that minimize (globally) the distance between this polynomial ...
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### None of the NMinimize methods leads to the answers of the equation

The following 10 equations has one set of exact answer using NSolve in Mathematica 9.0.0.0 (for positive c2, alpha1, alpha3, beta1, beta3, A1 and A3): ...
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### Maxima turn out to be false maxima when extremising function locally

In short: I have a 2-D function that gives this plot, where the orange dots are maxima: There are 4 maxima in this plot. Now, I plot the function again in a smaller region, close to these maxima, ...
102 views

### Find function tracing the maximum of a 2D function

I'd like to solve the following problem: Given MI[o_, n_] := Log2[1 + 4 o (Sqrt@n + Sqrt[1 + n])^2] Find a function f[n_] ...
312 views

### Numerical Instability?

Current Status Please skip ahead to Update 2: the key questions are now: 1/ Why does Mma generally fail to find the minimum for a well behaved function when the function does not have infinite ...
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### a question about Nminimize [closed]

I have 10 equations and 10 unknown parameters such as alpha1,alpha2,a1,a3,... which I want to find them by minimizing ...
326 views

### Graphically solving a linear programming problem

I try to realize the graphical linear programming method. Here is my code ...
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### Incorporating sophisticated constraints on the approximating function into NMinimize

Following the approach as given in the answer of Belisarius here I just wonder how one could incorporate some more sophisticated requirements on the approximating function. Suppose the approximating ...
187 views

### FindFit and NMinimize to fit a parametric model (minimize the distance of two curves)

I am trying to find a fit to the cumulative distribution of a set of points using FindFit or NMinimize. In particular, I would like to find the parameters of the cdf of the Beta Distribution that ...
55 views

### NMinimize error

I want to use NMinimize in the following way: ...
129 views

### Maximum of the minimum of two functions

I have two functions, each with 15 variables. How can I find maximum (minimum) of these functions? I know that minimum (maximum) of two functions is a multi-criteria function but I cannot find it. ...
59 views

### Problem with inequality constraint

I'm using NMinimize to solve the following objective function. ...
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### Minimize function with logical arguments

How can I minimize or maximize a function (even numerically) with logical arguments, taking only 0s and 1s, also with constraints? E.g. ...
91 views

### ArgMax, FindArgMax, and NArgMax disagreeing on answer

In working on an estimation problem, I created three Gaussian-like functions. The ML estimate could be seen as the argmax of the product of the three functions. In trying to get the code to run faster,...
52 views

### FindMinimum not accurate [closed]

Consider the function f[B_, d_] := -158.57189 + 982.533102 B^2 - 5.6768579 d + 895.1968 d^2 + B (-18.7772 + 655.02206 d); ...
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### FindMinimum with compiled function [duplicate]

I don't know how to fix this problem: ...
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### How to make Maximize function successfully maximize in general?

Having looked at Maximize Documentation SO: Mathematica: Commands return no output, but itself. Bug? Problem with Maximize Why won't Mathematica Solve a set of two equations for one variable? ...
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### Parallel function evaluation for minimal value

I am asking myself, if the evaluation of a function f looking for a minimal value over a discrete set of values can be parallelize (brute scan for a potential ...