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Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.
2
votes
1
answer
114
views
ImplicitRegion with parameters
My goal would be to run the following code:
{a, b} = {0.1, 3.5};
cons = (d > 0 && -d < c < b + d);
reg = ImplicitRegion[x^2 + y^2 < 1 && 0 < z < b && z < c + d y, {x, y, z}];
u[c_, d_] := Integrate[1 …
0
votes
1
answer
125
views
Maximize and NMaximize in comparison
If on one hand:
N@Maximize[{Sqrt[y^2 - x^2], x + y^2 == 0 && 0 < y < 2 && -y < x < y}, {x, y}]
{0.5, {x -> -0.5, y -> 0.707107}}
which is what is desired, on the other hand:
NMaximize[{Sqrt[y^2 - x …
26
votes
2
answers
1k
views
Possible bug in NMaximize function?
Bug introduced in 12.0. Fixed in 13.2 or earlier
In 12.0.0 for Microsoft Windows (64-bit) (April 6, 2019) writing:
Maximize[{Sqrt[1 - x^2], -1 <= x <= 1}, x]
Minimize[{Sqrt[1 - x^2], -1 <= x <= 1}, x …
5
votes
2
answers
410
views
Minimize distance between two lists
Writing:
expectedresults = {4, 8, 5, 1, 4, 6, 4, 1, 9, 3};
achievedresults = {3, 6, 4, 2, 10, 7, 2, 4, 8, 4};
p1 = BarChart[expectedresults, ChartStyle -> Directive[Opacity[0.1], Blue]];
p2 = BarChar …
0
votes
1
answer
373
views
Plot in solid temperature
Given the function f : R^3 -> R defined by:
f(x, y, z) := x e^(y^2 + z^2)
you will determine the points of maximum and minimum for f constrained to:
D := { (x, y, z) \in R^3 : 0 <= x <= 1 - y^2 - z …