NegativeDefiniteMatrixQ

NegativeDefiniteMatrixQ[m]

gives True if m is explicitly negative definite, and False otherwise.

Details

Examples

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Basic Examples  (1)

Test if a matrix is explicitly negative definite:

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This means that the quadratic form for all vectors :

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Scope  (5)

Applications  (3)

Properties & Relations  (14)

Possible Issues  (1)

See Also

NegativeSemidefiniteMatrixQ  PositiveDefiniteMatrixQ  PositiveSemidefiniteMatrixQ  HermitianMatrixQ  SymmetricMatrixQ  Eigenvalues  SquareMatrixQ

Introduced in 2014
(10.0)