Algebraic Properties of Generalized Inverses: 52 (Developments in Mathematics, 52) - Softcover

Cvetković-Ilić, Dragana S.; Wei, Yimin

Softcover

ISBN 10: 9811348626 ISBN 13: 9789811348624

Publisher: Springer, 2018

Synopsis

Discuss the open problems relevant to each particular topic

Investigates the algebraic properties of the Drazin inverse

Covers the latest references on the generalized inverses

About this title

About the Author

Dragana S. Cvetković‐Ilić is a Professor of Mathematics at the Faculty of Science and Mathematics, University of Nis. She has written in collaboration with other coauthors many articles with a significant contribution to the theory of generalized inverses, linear algebra and operator theory.

Yimin Wei is a Professor at the School of Mathematical Sciences, Fudan University, Shanghai, P.R. of China. He has published four English monographs and over 100 research papers in international journals.

His researches focus on linear algebra, matrix computations in control, and multi-linear algebra (tensors).

From the Back Cover

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} -generalized inverses.

Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse.

In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.

Edition details

• Publisher: Springer
• Publication date: 2018
• Language: English
• ISBN 10: 9811348626
• ISBN 13: 9789811348624
• Binding: Paperback
• Number of pages: 202