# Tag Info

Accepted

• 11.4k

• 3,135
Accepted

• 11.8k

### Could we train an AI to find (only) Mersenne primes and beat the current record?

The fundamental difficulty with prime numbers is that for all practice purposes, they are randomly distributed. Most theorems (and open problems) about prime numbers -- say, that there are infinitely ...
• 55.9k
Accepted

### Applying the result of Cuthill-McKee in SciPy

The reverse Cuthill-McKee algorithm produces a reordering that applies to both the rows and columns. This is because it works by considering matrices as graphs of (undirected) connected nodes. ...
• 188
Accepted

### Eigenvector with maximum overlap

The following paper suggests that the Jacobi-Davidson method can be used to target eigenvectors based on "any property that can be computed from the eigenvector", which would seem to include overlap ...
• 303
Accepted

### MD Simulation: Reference for the Neighbor's List Method

I'd recommend "The Art of Molecular Dynamics Simulation" by D. C. Rapaport. The code samples are written in C. I'm not a huge fan of the programming style of the book, but at least it's not ...
• 687
Accepted

### How to justify using available code (in different language) for comparing algorithms

So, you are comparing a generally slower Matlab implementation of algorithm A to a generally faster C++ implementation of algorithm B, and still getting the advantage for A. I would say, ...
• 8,702
Accepted

### Fast algorithm for computing cofactor matrix

So, a cofactor matrix is a transpose of an adjugate matrix. I know of the following paper: G. W. Stewart, "On the adjugate matrix," Lin. Alg. Appl., vol. 283, no. 1–3, pp. 151–164, Nov. ...
• 8,702

### Should benchmarkings be done at all? What is the point?

Benchmarks are useful, but no benchmark tells the whole story. There are many useful benchmarks. For example, the Julia microbenchmarks are an interesting case of an isolating benchmark: it tries to ...
• 12.4k
I read through the paper you linked and they give the stability condition for this method to be (eq. A6) $$\frac{-2}{\Delta t} \le V \le \frac{2}{\Delta t} - \frac{2}{m \Delta r^2}$$ This has to be ...