The Schur Complement and Its Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Zhang, Fuzhen (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Series: Numerical Methods and Algorithms, 4
• Subjects: Mathematics.; Matrix theory.; Algebra.; Operator theory.; Numerical analysis.; Statistics.; Linear and Multilinear Algebras, Matrix Theory.; Numerical Analysis.; Statistical Theory and Methods.; Operator Theory.

The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant result...

Table of Contents:

• Historical Introduction: Issai Schur and the Early Development of the Schur Complement
• Basic Properties of the Schur Complement
• Eigenvalue and Singular Value Inequalities of Schur Complements
• Block Matrix Techniques
• Closure Properties
• Schur Complements and Matrix Inequalities: Operator-Theoretic Approach
• Schur complements in statistics and probability
• Schur Complements and Applications in Numerical Analysis.