# positive semidefinite

Also found in: Wikipedia.

## positive semidefinite

[′päz·əd·iv ¦sem·i′def·ə·nət] (mathematics)

Also known as nonnegative semidefinite.

A square matrix

*A*is positive semidefinite if for every choice of complex numbers*x*_{1},*x*_{2}, …,*x*_{n }, where x̄_{j }is the complex conjugate of*x*_{j }.A linear operator

*T*on an inner product space is positive semidefinite if 〈*Tu*,*u*〉 is equal to or greater than 0 for all vectors*u*in the space.Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page: