[1] Arthur Albert: Conditions for positive and nonnegative definiteness in terms of pseudo inverses. SIAM J. Appl. Math. 17 (1969), 434-440. MR 0245582

[2] David Carlson: Matrix decompositions involving the Schur complement. SIAM J. AppL Math. 28(1975), 577-587. MR 0382304

[3] Douglas Crabtree: Applications of $M$-matrices to nonnegative matrices. Duke Math. J., 33 (1966), 197-208. MR 0186677

[4] Douglas Crabtree, Emilie V. Haynsworth: An identity for the Schur complement of a matrix. Proc. Amer. Math. Soc. 22 (1969), 364-366. MR 0255573

[5] Miroslav Fiedler, Vlastimil Pták: On matrices with nonpositive off-diagonal elements and positive principal minors. Czech. Math. J. 12 (87) (1962), 382-400. MR 0142565

[6] Miroslav Fiedler, Vlastimil Pták: Diagonally dominant matrices. Czech. Math. J. 17 (92) (1967), 420-433. MR 0215869

[7] F. R. Gantmacher: The theory of matrices. Vol. I. Chelsea, New York, 1959.

[8] Emilie V. Haynsworth: Determination of the inertia of a partitioned hermitian matrix. Lin. Alg. Appl. 1 (1967), 73-82. MR 0223392

[9] M. S. Lynn: On the Schur product of $H$-matrices and nonnegative matrices, and related inequalities. Proc. Camb. Phil. Soc. 60 (1964), 425 - 431. MR 0166204

[10] Marvin Marcus, Henryk Mine: A Survey of Matrix Theory and Matrix Inequalities. Allyn and Bacon, Boston, 1964. MR 0162808

[11] Olga Taussky: A recurring theorem on determinants. American Mathematical Monthly, 56 (1949), 672-676. MR 0032557