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On the Convexity of log det (I + K X^{-1})

Information Theory 2007-07-13 v1 math.IT

Abstract

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.

Keywords

Cite

@article{arxiv.cs/0611043,
  title  = {On the Convexity of log det (I + K X^{-1})},
  author = {Young-Han Kim and Seung-Jean Kim},
  journal= {arXiv preprint arXiv:cs/0611043},
  year   = {2007}
}

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2 pages