Positive-definite Matrix - Negative-definite, Semidefinite and Indefinite Matrices

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.

Read more about this topic:  Positive-definite Matrix

Famous quotes containing the word indefinite:

    As they are not seen on their way down the streams, it is thought by fishermen that they never return, but waste away and die, clinging to rocks and stumps of trees for an indefinite period; a tragic feature in the scenery of the river bottoms worthy to be remembered with Shakespeare’s description of the sea-floor.
    Henry David Thoreau (1817–1862)