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© 2003

Generalized Inverses

Theory and Applications

Textbook

Part of the CMS Books in Mathematics book series (CMSBM)

About this book

Introduction

 The field of generalized inverses has grown much since the appearance of the first edition in 1974, and is still growing. This book accounts for these developments while maintaining the informal and leisurely style of the first edition. New material has been added, including many theoretical results, computational methods, applications, examples and exercises, and an appendix on the work of E.H. Moore.

Adi Ben-Israel is Professor of Operations Research, Business and Mathematics at Rutgers University, New Brunswick, NJ. Previously he was Professor of Applied Mathematics at the University of Delaware, Northwestern University, and the Technion-Israel Institute of Technology.

The late Thomas N.E. Greville was Professor of Mathematics, and a member of the US Army Mathematics Research Center at the University of Wisconsin, Madison, WI.

The authors contributed to the theory, computation and applications of generalized inverses, and did much to popularize the field in the first edition.

Keywords

Eigenvalue Eigenvector Hilbert space Matrix applied mathematics field matrices spectral theory

Authors and affiliations

  1. 1.RUTCOR-Rutgers Center for Operations ResearchRutgers UniversityPiscatawayUSA

About the authors

 

Adi Ben-Israel is Professor of Operations Research, Business and Mathematics at Rutgers University, New Brunswick, NJ. Previously he was Professor of Applied Mathematics at the University of Delaware, Northwestern University, and the Technion-Israel Institute of Technology.

The late Thomas N.E. Greville was Professor of Mathematics, and a member of the US Army Mathematics Research Center at the University of Wisconsin, Madison, WI.

Bibliographic information

  • Book Title Generalized Inverses
  • Book Subtitle Theory and Applications
  • Authors Adi Ben-Israel
    Thomas N.E. Greville
  • Series Title CMS Books in Mathematics
  • DOI https://doi.org/10.1007/b97366
  • Copyright Information Springer-Verlag New York, Inc. 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-00293-4
  • Softcover ISBN 978-1-4419-1814-7
  • eBook ISBN 978-0-387-21634-8
  • Series ISSN 1613-5237
  • Edition Number 2
  • Number of Pages XVI, 420
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by Wiley-Interscience, 1974
  • Topics Linear and Multilinear Algebras, Matrix Theory
    Operator Theory
    Numerical Analysis
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking

Reviews

From the reviews of the second edition:

"The book under review which is the second edition of the 30 years ago published one provides a detailed survey of generalized inverses and their main properties … . An important feature of this book is the over 600 exercises … . Each chapter ends with the section ‘Suggested further reading’. These sections provide excellent additional references on topics treated … . it can be used profitably by graduate or advanced undergraduate students of mathematics and computer science, and by PhD students … ." (Róbert Rajkó, Acta Scientiarum Mathematicarum, Vol. 71, 2005)

"Each chapter is accompanied by suggestions for further reading, while the bibliography contains 901 references. … The book contains 450 exercises at different levels of difficulty, many of which are solved in detail. This feature makes it suitable either for reference and self-study or for use as a classroom text. It can be used profitably by graduate students or advanced undergraduate students … ." (Nicholas Karampetakis, Zentralblatt MATH, Vol. 1026, 2004)