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Negative Semidefinite Matrix


A negative semidefinite matrix is a Hermitian matrix all of whose eigenvalues are nonpositive.

A matrix m may be tested to determine if it is negative semidefinite in the Wolfram Language using NegativeSemidefiniteMatrixQ[m].


See also

Negative Definite Matrix, Positive Definite Matrix, Positive Semidefinite Matrix

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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 Matrix

Cite this as:

Weisstein, Eric W. "Negative Semidefinite Matrix." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NegativeSemidefiniteMatrix.html

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