MARC details
| 000 -LEADER |
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| fixed length control field |
03134cam a2200349 a 4500 |
| 001 - ACCESSION NUMBER |
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| control field |
13016745 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20231010171302.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
021202s2003 nyu b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2002044506 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441918147 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA188 |
| Item number |
.B46 2003 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.943 |
| Edition number |
21 |
| Item number |
BEN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ben-Israel, Adi. |
| 245 10 - TITLE STATEMENT |
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| Title |
Generalized inverses : |
| Remainder of title |
theory and applications / |
| Statement of responsibility, etc |
Adi Ben-Israel, Thomas N.E. Grenville. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
c2003. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xv, 420 p. ; |
| Dimensions |
25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
CMS books in mathematics ; |
| Volume number/sequential designation |
15 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Introduction<br/>Pages 1-5<br/>Preliminaries<br/>Pages 6-39<br/>Existence and Construction of Generalized Inverses<br/>Pages 40-51<br/>Linear Systems and Characterization of Generalized Inverses<br/>Pages 52-103<br/>Minimal Properties of Generalized Inverses<br/>Pages 104-151<br/>Spectral Generalized Inverses<br/>Pages 152-174<br/>Generalized Inverses of Partitioned Matrices<br/>Pages 175-200<br/>A Spectral Theory for Rectangular Matrices<br/>Pages 201-256<br/>Computational Aspects of Generalized Inverses<br/>Pages 257-281<br/>Miscellaneous Applications<br/>Pages 282-329<br/>Generalized Inverses of Linear Operators between Hilbert Spaces<br/>Pages 330-369<br/>Back Matter<br/>Pages 370-420<br/> |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
1. The Inverse of a Nonsingular Matrix It is well known that every nonsingular matrix A has a unique inverse, ?1 denoted by A , such that ?1 ?1 AA = A A =I, (1) where I is the identity matrix. Of the numerous properties of the inverse matrix, we mention a few. Thus, ?1 ?1 (A ) = A, T ?1 ?1 T (A ) =(A ) , ? ?1 ?1 ? (A ) =(A ) , ?1 ?1 ?1 (AB) = B A , T ? where A and A , respectively, denote the transpose and conjugate tra- pose of A. It will be recalled that a real or complex number ? is called an eigenvalue of a square matrix A, and a nonzero vector x is called an eigenvector of A corresponding to ?,if Ax = ?x. ?1 Another property of the inverse A is that its eigenvalues are the recip- cals of those of A. 2. Generalized Inverses of Matrices A matrix has an inverse only if it is square, and even then only if it is nonsingular or, in other words, if its columns (or rows) are linearly in- pendent. In recent years needs have been felt in numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular or even rectangular. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Matrix inversion. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Greville, T. N. E. |
| Fuller form of name |
(Thomas Nall Eden), |
| Dates associated with a name |
1910-1998. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Contributor biographical information |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/enhancements/fy0817/2002044506-b.html">http://www.loc.gov/catdir/enhancements/fy0817/2002044506-b.html</a> |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Publisher description |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/enhancements/fy0817/2002044506-d.html">http://www.loc.gov/catdir/enhancements/fy0817/2002044506-d.html</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of contents only |
| Uniform Resource Identifier |
<a href="http://www.loc.gov/catdir/enhancements/fy0817/2002044506-t.html">http://www.loc.gov/catdir/enhancements/fy0817/2002044506-t.html</a> |
| 906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
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| a |
7 |
| b |
cbc |
| c |
orignew |
| d |
1 |
| e |
ocip |
| f |
20 |
| g |
y-gencatlg |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Project book |
