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Non-symmetric positive definite matrices

14/04/2011

Usually, when we say a matrix A is positive definite, it means x^TAx>0, \forall x\neq 0 and A is symmetric. What if x^TAx>0, \forall x\neq 0 but A is not symmetric?

Simple: if and only if A+A^T is positive definite. See stack exchange and a paper.

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