semidefinite

Adjective

Meaning

Not entirely definite; somewhat vague or undefined.

(mathematics) Describing a bilinear form, over a vector space, that is either always positive or always negative.

Examples

A Hermitian matrix is positive semidefinite if and only if all of its principal minors are nonnegative. Source: Internet

Negative-definite, semidefinite and indefinite matrices A Hermitian matrix is negative-definite, negative-semidefinite, or positive-semidefinite if and only if all of its eigenvalues are negative, non-positive, or non-negative, respectively. Source: Internet

That is, if M and N are positive semidefinite, then for any α between 0 and 1, αM + (1−α)N is also positive semidefinite. Source: Internet

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