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Mathematics - Algebra | Generalized Inverses - Theory and Applications

Generalized Inverses

Theory and Applications

Ben-Israel, Adi, Greville, Thomas N.E.

Originally published by Wiley-Interscience, 1974

2nd ed. 2003, XVI, 420 p.

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 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.

Content Level » Research

Keywords » Eigenvalue - Eigenvector - Hilbert space - Matrix - applied mathematics - field - matrices - spectral theory

Related subjects » Algebra - Analysis - Computational Science & Engineering

Table of contents 

* Glossary of notation * Introduction * Preliminaries * Existence and Construction of Generalized Inverses * Linear Systems and Characterization of Generalized Inverses * Minimal Properties of Generalized Inverses * Spectral Generalized Inverses * Generalized Inverses of Partitioned Matrices * A Spectral Theory for Rectangular Matrices * Computational Aspects of Generalized Inverses * Miscellaneous Applications * Generalized Inverses of Linear Operators between Hilbert Spaces * Appendix A: The Moore of the Moore-Penrose Inverse * Bibliography * Subject Index * Author Index

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