English

On Optimal Frame Conditioners

Numerical Analysis 2015-01-27 v1 Optimization and Control

Abstract

A (unit norm) frame is scalable if its vectors can be rescaled so as to result into a tight frame. Tight frames can be considered optimally conditioned because the condition number of their frame operators is unity. In this paper we reformulate the scalability problem as a convex optimization question. In particular, we present examples of various formulations of the problem along with numerical results obtained by using our methods on randomly generated frames.

Keywords

Cite

@article{arxiv.1501.06494,
  title  = {On Optimal Frame Conditioners},
  author = {Chae A. Clark and Kasso A. Okoudjou},
  journal= {arXiv preprint arXiv:1501.06494},
  year   = {2015}
}

Comments

11 pages

R2 v1 2026-06-22T08:13:13.030Z