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## Main Question or Discussion Point

Hi everyone,

I know that for a matrix to be Positive semi-definite (A>=0) (PSD), the elements on the principle diagonal (upper left corner to right bottom corner) must be non-negative (i.e., d_ii>=0).

But I wonder if there exists any condition to be satisfied by the elements on the secondary diagonal (upper right to left bottom) for the matrix to be PSD. Does it?

Whats if it is given that the matrix is hermitian?

[The matrix is over the complex field]

Thanks and Regards,

NaturePaper

I know that for a matrix to be Positive semi-definite (A>=0) (PSD), the elements on the principle diagonal (upper left corner to right bottom corner) must be non-negative (i.e., d_ii>=0).

But I wonder if there exists any condition to be satisfied by the elements on the secondary diagonal (upper right to left bottom) for the matrix to be PSD. Does it?

Whats if it is given that the matrix is hermitian?

[The matrix is over the complex field]

Thanks and Regards,

NaturePaper