Journal article
Completion of Hankel partial contractions of extremal type
Journal of mathematical physics, Vol.53(12), p.123526
12/01/2012
DOI: 10.1063/1.4769992
Abstract
We find concrete necessary and sufficient conditions for the existence of contractive completions of Hankel partial contractions of size 4 x 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 x 4 Hankel matrices. As an application, we obtain a concrete example of a partially contractive 4 x 4 Hankel matrix, which does not admit a contractive completion. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4769992]
Details
- Title: Subtitle
- Completion of Hankel partial contractions of extremal type
- Creators
- Raul E Curto - University of IowaSang Hoon Lee - Chungnam Natl Univ, Dept Math, Taejon 305764, South KoreaJasang Yoon - Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical physics, Vol.53(12), p.123526
- Publisher
- AMER INST PHYSICS
- DOI
- 10.1063/1.4769992
- ISSN
- 0022-2488
- eISSN
- 1089-7658
- Number of pages
- 11
- Grant note
- National Research Foundation of Korea DMS-0400741; DMS-0801168 / National Science Foundation (NSF) Faculty Research Council Grant at The University of Texas-Pan American 2009-0085279 / Korean Government
- Language
- English
- Date published
- 12/01/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984240773902771
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