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- W2024507128 abstract "We consider the volumetric barrier for semidefinite programming, or “generalized” volumetric barrier, as introduced by Nesterov and Nemirovskii. We extend several fundamental properties of the volumetric barrier for a polyhedral set to the semidefinite case. Our analysis facilitates a simplified proof of self-concordance for the semidefinite volumetric barrier, as well as for the combined volumetric-logarithmic barrier for semidefinite programming. For both of these barriers we obtain self-concordance parameters equal to those previously shown to hold in the polyhedral case." @default.
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- W2024507128 title "The Volumetric Barrier for Semidefinite Programming" @default.
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- W2024507128 doi "https://doi.org/10.1287/moor.25.3.365.12212" @default.
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