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Negative Semidefinite Matrix
A negative semidefinite matrix is aHermitian matrixall of whoseeigenvalues are nonpositive.
A matrix
may be tested to determine if it is negative semidefinite in theWolfram Language usingNegativeSemidefiniteMatrixQ[m].
See also
Negative Definite Matrix,Positive Definite Matrix,Positive Semidefinite MatrixExplore with Wolfram|Alpha
References
Marcus, M. and Minc, H.A Survey of Matrix Theory and Matrix Inequalities. New York: Dover, p. 69, 1992.Referenced on Wolfram|Alpha
Negative Semidefinite MatrixCite this as:
Weisstein, Eric W. "Negative Semidefinite Matrix."FromMathWorld--A Wolfram Resource.https://mathworld.wolfram.com/NegativeSemidefiniteMatrix.html