Realization of homogeneous cones through oriented graphs

Takashi Yamasaki, Takaaki Nomura

研究成果: ジャーナルへの寄稿記事

5 引用 (Scopus)

抄録

In this paper, we realize any homogeneous cone by assembling uniquely determined subcones. These subcones are realized in the cones of positive-definite real symmetric matrices of minimal possible sizes. The subcones are found through the oriented graphs drawn by using the data of the given homogeneous cones. We also exhibit several interesting examples of our realizations of homogeneous cones. These are of rank 5, of dimension 19, of dimension 11 of continuously many inequivalent homogeneous cones, and some of the low-dimensional homogeneous cones.

元の言語英語
ページ(範囲)11-48
ページ数38
ジャーナルKyushu Journal of Mathematics
69
発行部数1
DOI
出版物ステータス出版済み - 1 1 2015

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Oriented Graph
Cone
Symmetric matrix
Positive definite

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Realization of homogeneous cones through oriented graphs. / Yamasaki, Takashi; Nomura, Takaaki.

:: Kyushu Journal of Mathematics, 巻 69, 番号 1, 01.01.2015, p. 11-48.

研究成果: ジャーナルへの寄稿記事

Yamasaki, Takashi ; Nomura, Takaaki. / Realization of homogeneous cones through oriented graphs. :: Kyushu Journal of Mathematics. 2015 ; 巻 69, 番号 1. pp. 11-48.
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