Also found in: Wikipedia.
positive semidefinite[′päz·əd·iv ¦sem·i′def·ə·nət]
Also known as nonnegative semidefinite.
A square matrix A is positive semidefinite if for every choice of complex numbers x1, x2, …, xn , where x̄j is the complex conjugate of xj .
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.