| positive semidefinite [`päz·ǝd·iv ¦sem·i`def·ǝ·nǝt] MATHEMATICS 1. Also known as nonnegative semidefinite. 2. 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 . 3. 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. |