We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as ...

Let $B \in M_{n}(C)$ be a row diagonally dominant matrix, i.e., $\sigma_i \left\vert b_{ii}\right\vert = \sum\limits_{{j=i} \atop {j\not=i}}^n} \left\vert b_{ij ...

One of the fundamental operations in machine learning is computing the inverse of a square matrix. But not all matrices have an inverse. The most common way to check if a matrix has an inverse or not ...