We derive an explicit formula for the singular part of the fundamental matrix of crystal optics. It consists of a singularity remaining fixed at the origin x = 0, of delta terms located on the ...

In this paper, we study the matrix denoising model Y = S + X, where S is a low rank deterministic signal matrix and X is a random noise matrix, and both are M × n. In the scenario that M and n are ...

THE problem of ‘inverting’ singular matrices is by no means uncommon in statistical analysis. Rao1 has shown in a lemma that a generalized inverse (g-inverse) always exists, although in the ...

A singular matrix A is passed to the INV function, which would, by itself, generate an error message and issue a pause in the module. This module pushes three RESUME statements, so that the first ...