Logarithmically concave function: Difference between revisions

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Add condition that f(x)>0
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:<math>f(x)\nabla^2f(x) \preceq \nabla f(x)\nabla f(x)^T</math> <ref> Stephen Boyd and Lieven Vandenberghe, [http://www.stanford.edu/~boyd/cvxbook/ Convex Optimization] (PDF) p.105</ref>
 
If <math>f:\mathbb{R}\to\mathbb{R}^+</math>, this condition simplifies to
:<math>f(x)f''(x) \leq (f'(x))^2</math>