Generalized vectorization, cross-products, and matrix calculus / (Record no. 559052)

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
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Dewey Decimal Classification     Symbiosis School for Liberal Arts Symbiosis School for Liberal Arts 09/12/2015   515/.63 SSLA-B-3563 09/12/2015 09/12/2015 Books