論文

査読有り
2016年8月10日

Limiting eigenvalue distributions of block random matrices with one-dimensional coupling structure

IEEE International Symposium on Information Theory - Proceedings
  • Toshiyuki Tanaka

2016-
開始ページ
2169
終了ページ
2173
記述言語
英語
掲載種別
研究論文(国際会議プロシーディングス)
DOI
10.1109/ISIT.2016.7541683
出版者・発行元
Institute of Electrical and Electronics Engineers Inc.

We study limiting eigenvalue distributions of block random matrix ensembles with one-dimensional coupling structure under the limit where the matrix size tends to infinity. Matrices in the ensembles have independent real symmetric random matrices of Wigner type on the diagonal blocks and a scalar multiple of the identity matrix on the blocks adjacent to the diagonal blocks. Explicit analytical formulas for the limiting eigenvalue distributions are derived for the 2×2-block ensemble as well as the 3 × 3-block circular ensemble. Further numerical results for B × B-block ensembles with B ≥ 3 are also shown.

リンク情報
DOI
https://doi.org/10.1109/ISIT.2016.7541683
ID情報
  • DOI : 10.1109/ISIT.2016.7541683
  • ISSN : 2157-8095
  • SCOPUS ID : 84985991432

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