Preliminaries; Contents; Chapter 0 Historical Introduction; Chapter 1 Basic Properties of the Schur Complement; Chapter 2 Eigenvalue and Singular Value Inequalities; Chapter 3 Block Matrix Techniques; Chapter 4 Closure Properties; Chapter 5 Schur Complements and Matrix Inequalities; Chapter 6 Schur Complements in Statistics and Probability; Chapter 7 Schur Complements and Applications in Numerical Analysis; Bibliography; Notation; Index
Summary
Describes the Schur complement as a tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. This book covers themes and variations on the Schur complement. It is useful for graduate and advanced undergraduate courses in mathematics, applied mathematics, and statistics
Bibliography
Includes bibliographical references (pages 259-288)