Description of the minimizers of least squares regularized~ with~ ${\mathbf{\ell }}_0$-norm. Uniqueness of the global minimizer

Mila Nikolova

We have an $\m\x\n$ real-valued arbitrary matrix $A$ (e.g. a dictionary) with $\m<\n$ and data $d$ describing the sought-after object with the help of $A$. This work provides an in…