An identity for the Schur complement of a matrix
An identity for the Schur complement of a matrix
This result is known as Schur's formula. In case A is Hermitian, Haynsworth [5] has shown that the inertia of A can be determined from the inertia of any nonsingular principal submatrix of A together with that of its Schur complement. Other applications and properties of the Schur complement will …