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Bulletin of the Iranian Mathematical Society

, Volume 45, Issue 2, pp 377–399 | Cite as

Paulsen Problem for A-admissible Frames

  • Zeinab GolinejadEmail author
  • Ahmad Safapour
Original Paper
  • 25 Downloads

Abstract

In this paper, we present an algorithm—gradient descent of the frame potential—for increasing the degree of tightness of any finite admissible frame, and show that this algorithm converges to an admissible tight frame. We provide an explicit answer to the generalizations of the Paulsen problem.

Keywords

Frame Tight frame Frame potential A-admissible 

Mathematics Subject Classification

Primary 42C15 Secondary 42C40 

Notes

Acknowledgements

The authors would like to thank of referees for their useful comments and suggestions.

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Copyright information

© Iranian Mathematical Society 2018

Authors and Affiliations

  1. 1.Faculty of MathematicsVali-e-Asr University of RafsanjanRafsanjanIran

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