| dc.contributor.author |
Chua, Chek Beng. |
| dc.date.accessioned |
2009-07-27T07:19:12Z |
| dc.date.available |
2009-07-27T07:19:12Z |
| dc.date.copyright |
2003 |
| dc.date.issued |
2009-07-27T07:19:12Z |
| dc.identifier.citation |
Chua, C. B., (2003). Relating homogeneous cones and positive definite cones via T-algebras. SIAM Journal on Optimization, 14(2), 500-506. |
| dc.identifier.issn |
1095-7189 |
| dc.identifier.uri |
http://hdl.handle.net/10220/4702 |
| dc.description.abstract |
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 operators in such a way that K(A) is isomorphic to the cone of positive definite self-adjoint operators. Together with Vinberg’s result, we conclude that every homogeneous cone is isomorphic to a “slice” of a cone of positive definite matrices. |
| dc.format.extent |
7 p. |
| dc.language.iso |
en |
| dc.relation.ispartofseries |
SIAM Journal on Optimization. |
| dc.rights |
SIAM Journal on Optimization @ copyright 2003 The journal's website is located at http://www.siam.org/journals/siopt.php. |
| dc.subject |
DRNTU::Science::Mathematics::Applied mathematics::Optimization. |
| dc.title |
Relating homogeneous cones and positive definite cones via T-algebras. |
| dc.type |
Journal Article |
| dc.contributor.school |
School of Physical and Mathematical Sciences |
| dc.identifier.doi |
http://dx.doi.org/10.1137/S1052623402406765 |
| dc.description.version |
Published version |
