AI SearchGeneralized vectorization, cross-products, and matrix calculus / (Record no. 109397)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02806cam a2200253 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 120531s2013 enk b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781107032002 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | SDU |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA188 |
| Item number | T939 G 2013 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Turkington, Darrell A., |
| 245 10 - TITLE STATEMENT | |
| Title | Generalized vectorization, cross-products, and matrix calculus / |
| Statement of responsibility, etc. | Darrell A. Turkington, University of Western Australia. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cambridge : |
| Name of publisher, distributor, etc. | Cambridge University Press, |
| Date of publication, distribution, etc. | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 267 p. |
| 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. |
| 505 8# - Formatted Contents Note | |
| Formatted contents note | HKBU library |
| 518 ## - DATE/TIME AND PLACE OF AN EVENT NOTE | |
| DATE/TIME AND PLACE OF AN EVENT NOTE | YT2025 M10 |
| 520 ## - SUMMARY | |
| Summary | "This book studies the mathematics behind matrix calculus, and the final chapter looks at applications of matrix calculus in statistics and econometrics"-- |
| 520 ## - SUMMARY | |
| Summary | "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 | |
| Topical term | Matrices. |
| 650 #0 - SUBJECT | |
| Topical term | Vector analysis. |
| 650 #7 - SUBJECT | |
| Topical term | BUSINESS & ECONOMICS / Econometrics. |
| 900 ## - Accession Number | |
| Accession Number | = C.1 SDU |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Source of classification or shelving scheme | Library of Congress Classification |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | 210957 |
| 650 #0 - SUBJECT | |
| -- | 28332 |
| 650 #7 - SUBJECT | |
| -- | 202671 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Available for Loans | General Books | MATRIX Library | MATRIX Library | General Eng/FL.3 | 01/10/2025 | Donation | QA188 T939 G 2013 | 1000385327 | 01/10/2025 | C.1 | 01/10/2025 | English Books |