# Tagged Questions

For questions about defining recursive functions, recursive algorithms and solving recursive equations.

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### Compile recursive function modifying global variables

How to compile recursive formula when it relies on more than a few global variables (global to the topmost compiled function)? It is unreasonable to pass on all such variables to each recursive ...
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### Increasing recursion speed in Hull-White trinomial tree calculation

First timer here and have been finding these boards very useful in learning Mathematica. I'm trying to implement a numerical procedure for the Hull-White trinomial tree in Mathematica. Despite using ...
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### Improve recursive function (memoization)

These days I am trying to rewrite the following recursive function, in order to gain some speed. It is crucial because I end up using 4-5 similar functions, and I need to decrease execution time. ...
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### Method of characteristics, recursion formulas

I'm helping a friend out with a problem. He needs to plot out the solution to a water surge in a pipeline. I have all the parameters set and I've put the equations in Mathematica, but I can't get the ...
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### Efficient Generation of Subgraphs (or, unfriend a friend a day)

NB: If you're not interested in the back-story, you could simply jump forward to the code which I'm seeking to optimize. Also, I believe this code would only work for MMA 8.0 and above. My friends ...
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### Generating Functions with multiple arguments

I want to solve the recurrence of Ackermann function using Generating Function in Mathematica. ...
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### RSolve doesn't solve this recurrence equation

RSolve[{1 == b ((c k[t - 1]^a - k[t])/(c k[t]^a - k[t + 1])) c a k[t]^(a - 1), k[1] == b, k[3] == a}, k[t], t] I tried to read the documentation in Help ...
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### Recursion and Its Stoppage Criteria

Let there be a recursive function V whose first value is set at 0. How can I find its converged value in such a way that the recursion stops when the difference between the newest and the one before ...
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### 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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### simulate a 32-bit signed integer overflow in a recurrence function

Considering the following recurring equation: which is this factorial function: I want to find the value of x where f(x) = 0. Actually, the solution is impossible with Mathematica, and it's ...