학술저널
COMPLETIONS OF HANKEL PARTIAL CONTRACTIONS OF SIZE 5 × 5 NON-EXTREMAL CASE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 1
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2016.02137 - 150 (14 pages)
- 2
We introduce a new approach that allows us to solve, algorithmically, the contractive completion problem. In this article, we provide concrete necessary and sufficient conditions for the existence of contractive completions of Hankel partial contractions of size 4 × 4 using a Moore-Penrose inverse of a matrix.
1. Introduction
2. Preliminaries
3. Partially contractive Hankel matrices of extremal type: The case 4 × 4
4. Partially contractive Hankel matrices of non-extremal type: The case 4 × 4
5. Partially contractive Hankel matrices of extremal type: The case 5 × 5
6. Partially contractive Hankel matrices of non-extremal type: The case 5 × 5
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