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math.OC2019★ 6 cited
Polyhedral approximations of the semidefinite cone and their application
Yuzhu Wang, Akihiro Tanaka, Akiko Yoshise
We develop techniques to construct a series of sparse polyhedral approximations of the semidefinite cone. Motivated by the semidefinite (SD) bases proposed by Tanaka and Yoshise (2…
math.OC2016★ 4 cited
LP-based Tractable Subcones of the Semidefinite Plus Nonnegative Cone
Akihiro Tanaka, Akiko Yoshise
The authors in a previous paper devised certain subcones of the semidefinite plus nonnegative cone and showed that satisfaction of the requirements for membership of those subcones…