Relating homogeneous cones and positive definite cones via T-algebras

• المؤلف الرئيسي: Chua, Chek Beng.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2009
• الموضوعات: DRNTU::Science::Mathematics::Applied mathematics::Optimization
• الوصول للمادة أونلاين: 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...