How does one find non-trivial solutions $\vec{x}$ of the following beast

$$\sum_{j=1}^N \sum_{k=1}^N \sum_{l=1}^N M_{ijkl} x_j x_k x_l = 0$$

All numbers are real. Also of interest is the name of this problem, if it has a name. An analogous problem in 2D would be to find the null-space of a matrix. I would naively assume that the name of this problem is to find the null-space of a rank-4 tensor. Is that right?

The origin of the problem is a finite element method discretization of a non-linear ODE.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.