Questions tagged [mathematical-optimization]
Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.
2,327 questions
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Efficiently Finding Optimal Configurations of Lofted Solids
A lofted solid is like a solid cylinder with two different end caps.
A natural set of questions given a lofted solid using two shapes would be if we were to be able to rotate an end around the ends ...
- 527
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Minimising integral of solution found by solving ODE
I am interested in solving a problem that takes the following form. I solve, using some numerical method such as RK4, an ODE of the form
$$
r(v)L(v;\{a_i\})+r^{\prime\prime}(v)=0\,,
$$
where $L(v;\{...
- 625
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Getting wrong using NMinimize to find the minimal eigenvalue
I'm trying to solve 1D Schrodinger equation for radial wavefunctions: p''[r]-V1[r]*p[r]=E*p[r] (where V1[r] is a given effective ...
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NMinimize behaves strangely for this simple problem
I am looking for a noncentrality parameter for $F$ which makes the CDF closer to .975.
That should be straigthforward, e.g.,
...
- 1,161
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What are the best publicly accessible AI programs , for writing reliably Mathematica programs?
I've been experimenting for a while with Claude, DeepThink, Copilot and Chat, and all are great for helping quickly beginner programmers with bad memory like me, but they also waste a lot of your time ...
- 2,338
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SemidefiniteOptimization function claiming no solution when a solution does exist
The following code
...
- 605
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Finding Hopf bifurcations by minimizing distance of eigenvalues to the imaginary axis
It would be nice to find Hopf bifurcations in Mathematica by minimizing distance of eigenvalues to the imaginary axis. Since I always start from a stable fixed point, it suffices to NMaximize the ...
- 2,338
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Numerical optimization on PredictorFunction fail with region specification but not constraint specification
Problem:. Numerical optimization on learned PredictorFunction do not seem to behave the same for constraint and region specifications, and the latter fail to ...
- 3,553
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Why does NDSolve fail or slow down when simulating a driven JC model with time-dependent terms, even when the drive is off?
I'm performing a numerical check of an effective Hamiltonian transformation applied to a driven Jaynes–Cummings (JC) model. After applying a rotating frame transformation and rotating-wave ...
- 165
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Bootstrapping with sdp solver in mathematica doesn't find the allowed eigenvalues properly
I am trying to bootstrap the harmonic oscillator in Mathematica using its built in SDP solver. I have the following code
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$||Ax-b||^2$ vs $Ax=b$ in QuadraticOptimization
I'm solving underconstrained $Ax=b$ with additional constraint that entries of $x$ are non-negative.
This can be done with QuadraticOptimization by
putting $||Ax-...
- 7,651
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Implementing DC Decomposition of Nonconvex Polynomials Using Algebraic Techniques (Hall's Formulation 5.6) in Mathematica?
I'm working on implementing a difference-of-convex (DC) decomposition for nonconvex polynomials, following the algebraic approach described in Georgina Hall's thesis "Optimization over ...
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Double optimization - function defined through `Module`
I am solving an optimization problem where there is an energy defined with some functions and some fixed parameters. I define this minimum as function of two variables and want to search in the space ...
- 796
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How can I reduce the time to get a list of triples?
I used Mathematica to generate a list of triples of the form $(a/b,c/d,m/n)$, such that $3<a/b<c/d<m/n<10$, with $3≤a,b,c,d,m,n≤15$.I tried
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Knapsack problem
Say I have the following number 499013 from which I must find a list with the following characteristics:
the list has the same length as the binary list of the given number
it has the same value of ...
- 391