Michael Neumann
Abstract
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.
OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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.
Key concepts: Schur complement, Schur product theorem, Mathematics, Schur's theorem, Factorization, Complement (music), Algebra over a field, Schur decomposition