positive semidefinite matrix - Wolfram|Alpha

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Input interpretation

positive semidefinite matrix

Definition

A positive semidefinite matrix is a Hermitian matrix all of whose eigenvalues are nonnegative.
A matrix m may be tested to determine if it is positive semidefinite in the Wolfram Language using PositiveSemidefiniteMatrixQ[m].

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Related terms

negative definite matrix | negative semidefinite matrix | positive definite matrix | positive eigenvalued matrix | positive matrix

Related Wolfram Language symbol

PositiveSemidefiniteMatrixQ

Subject classifications

MathWorld

matrix types

MSC 2010

15-XX

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