Relating homogeneous cones and positive definite cones via T-algebras

• 主要作者: Chua, Chek Beng.
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2009
• 主題: DRNTU::Science::Mathematics::Applied mathematics::Optimization
• 在線閱讀: https://hdl.handle.net/10356/90513; http://hdl.handle.net/10220/4702

T-algebras are nonassociative algebras defined by Vinberg in the early 1960s for the purpose of studying homogeneous cones. Vinberg defined a cone K(A) for each T-algebra A and proved that every homogeneous cone is isomorphic to one such K(A). We relate each T-algebra A with a space of linear operat...