Completion of Hankel partial contractions of extremal type

Authors

• Raúl E. Curto, University of Iowa
• Sang Hoon Lee, Chungnam National University
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

12-19-2012

Abstract

We find concrete necessary and sufficient conditions for the existence of contractive completions of Hankel partial contractions of size 4 × 4 in the extremal case. Along the way we introduce a new approach that allows us to solve, algorithmically, the contractive completion problem for 4 × 4 Hankel matrices. As an application, we obtain a concrete example of a partially contractive 4 × 4 Hankel matrix, which does not admit a contractive completion.

Comments

© 2012 American Institute of Physics.

Recommended Citation

Curto, Raúl E., Sang Hoon Lee, and Jasang Yoon. "Completion of Hankel partial contractions of extremal type." Journal of mathematical physics 53, no. 12 (2012). https://doi.org/10.1063/1.4769992

Publication Title

Journal of Mathematical Physics

DOI

10.1063/1.4769992