MARC details
000 -LEADER |
fixed length control field |
03117cam a2200325 i 4500 |
001 - CONTROL NUMBER |
control field |
17325717 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20151209112310.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
120531s2013 enk b 001 0 eng |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2012022017 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107032002 (hardback) |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Language of cataloging |
eng |
Transcribing agency |
DLC |
Description conventions |
rda |
Modifying agency |
DLC |
042 ## - AUTHENTICATION CODE |
Authentication code |
pcc |
050 00 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA188 |
Item number |
.T8645 2013 |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515/.63 |
Edition number |
23 |
084 ## - OTHER CLASSIFICATION NUMBER |
Classification number |
BUS021000 |
Source of number |
bisacsh |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Turkington, Darrell A., |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Generalized vectorization, cross-products, and matrix calculus / |
Statement of responsibility, etc |
Darrell A. Turkington, University of Western Australia. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xi, 267 pages ; |
Dimensions |
24 cm |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (pages 257-258) and index. |
505 8# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Machine generated contents note: 1. Mathematical prerequisites; 2. Zero-one matrices; 3. Elimination and duplication matrices; 4. Matrix calculus; 5. New matrix calculus results; 6. Applications. |
520 ## - SUMMARY, ETC. |
Summary, etc |
"This book studies the mathematics behind matrix calculus, and the final chapter looks at applications of matrix calculus in statistics and econometrics"-- |
520 ## - SUMMARY, ETC. |
Summary, etc |
"In this chapter we consider elements of matrix algebra, knowledge of which is essential for our future work. This body of mathematics centres around the concepts of Kronecker products and vecs of a matrix. From the elements of a matrix and a matrix the Kronecker product forms a new matrix. The vec operator forms a column vector from the elements of a given matrix by stacking its columns one underneath the other. Several new operators considered in this chapter are derived from these basic operators. The operator which I call the cross product operator takes the sum of Kronecker products formed from submatrices of two given matrices. The rvec operator forms a row vector by stacking the rows of a given matrix alongside each other. The generalized vec operator forms a new matrix from a given matrix by stacking a certain number of its columns, taken as a block, under each other, and the generalized rvec operator forms a new matrix by stacking a certain number of rows, again taken as a block, alongside each other. It is well known that Kronecker products and vecs are intimately connected but this connection also holds for rvec and generalized operators as well. The cross sum operator, as far as I know, is being introduced by this book. As such, I will present several theorems designed to investigate the properties of this operator. The approach I have taken in this book is to list, without proof, well-known properties of the mathematical operator or concept in hand. If, however, I am presenting the properties of a new operator or concept, if I am presenting a property in a different light, or finally if I have something new to say about the concept, then I will give a proof"-- |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Matrices. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Vector analysis. |
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
BUSINESS & ECONOMICS / Econometrics. |
Source of heading or term |
bisacsh |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
7 |
b |
cbc |
c |
orignew |
d |
1 |
e |
ecip |
f |
20 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |