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arxiv: cs/0611043 · v1 · submitted 2006-11-10 · 💻 cs.IT · math.IT

On the Convexity of log det (I + K X⁻¹)

classification 💻 cs.IT math.IT
keywords convexitygivenpositivedefinitematrixproofsemidefinitesimple
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A simple proof is given for the convexity of log det (I+K X^{-1}) in the positive definite matrix variable X with a given positive semidefinite K.

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