NegativeSemidefiniteMatrixQ

NegativeSemidefiniteMatrixQ[m] gives True if m is explicitly negative semidefinite, and False otherwise.

Examples

Test if a matrix is negative semidefinite:

NegativeSemidefiniteMatrixQ[{{-1, 0}, {0, -2}}]
(* True *)

NegativeSemidefiniteMatrixQ[{{1, 0}, {0, 2}}]
(* False *)

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