Algebraic Properties of Generalized Inverses

• Main Authors: Cvetković‐Ilić, Dragana S. (Author), Wei, Yimin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Developments in Mathematics, 52
• Subjects: Mathematics.; Matrix theory.; Algebra.; Linear and Multilinear Algebras, Matrix Theory.

This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -...

Table of Contents:

• Definitions and motivations
• Reverse order law
• Completions of operator matrices and generalized inverses
• Generalized inverses and idempotents
• Drazin inverse of a 2 × 2 block matrix
• Additive Results for the Drazin Inverse
• Index.