- #1
JK423
Gold Member
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Hello people,
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
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