Hello people,(adsbygoogle = window.adsbygoogle || []).push({});

Im working on a project and this problem came up:

I have a symmetric matrix whose elements are complex variables, and i know that this matrix is positive semi-definite.

I have to derive a criterion for the matrix's elements, so that if it's satisfied by them then the matrix will be positive semi-definite.

Any idea on how to do that?

For example, a positive semi-definite matrix has to satisfy some relation that i can use?

Maybe its eigenvalues must be non-negative?

I'd really need your help, thanks a lot!

John

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# When is a matrix positive semi-definite?

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