Frame completions with prescribed norms: local minimizers and applications

Pedro G. Massey, Noelia B. Rios, Demetrio Stojanoff

Let ${\mathcal{F}}_0=\{f_i{\}}_{i\in {\mathbb{I}}_{n_0}}$ be a finite sequence of vectors in ${\mathbb{C}}^d$ and let $\mathbf{a}=(a_i{)}_{i\in {\mathbb{I}}_k}$ be a finite sequence of positive nu…