On the Schur complement and the LU-factorization of a matrix
Michael Neumann · Linear and Multilinear Algebra · 1981
Further to a paper by Cottle [12] we discuss how the Lu-factorization of a matrix could be used to study its Schur complements and vice-versa. In addition, it is argued that the Schur complement provides a compact tool for studying problems rekated to the incomplete Choleski factorization.