Coverart for item
The Resource Generalized vectorization, cross-products, and matrix calculus, Darrell A. Turkington, (electronic resource)

Generalized vectorization, cross-products, and matrix calculus, Darrell A. Turkington, (electronic resource)

Label
Generalized vectorization, cross-products, and matrix calculus
Title
Generalized vectorization, cross-products, and matrix calculus
Statement of responsibility
Darrell A. Turkington
Title variation
Generalized Vectorization, Cross-Products, & Matrix Calculus
Creator
Subject
Language
eng
Summary
This book presents the reader with new operators and matrices that arise in the area of matrix calculus. The properties of these mathematical concepts are investigated and linked with zero-one matrices such as the commutation matrix. Elimination and duplication matrices are revisited and partitioned into submatrices. Studying the properties of these submatrices facilitates achieving new results for the original matrices themselves. Different concepts of matrix derivatives are presented and transformation principles linking these concepts are obtained. One of these concepts is used to derive new matrix calculus results, some involving the new operators and others the derivatives of the operators themselves. The last chapter contains applications of matrix calculus, including optimization, differentiation of log-likelihood functions, iterative interpretations of maximum likelihood estimators and a Lagrangian multiplier test for endogeneity.--
Assigning source
Provided by publisher
Cataloging source
UkCbUP
http://library.link/vocab/creatorName
Turkington, Darrell A
Index
index present
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Cambridge Social Sciences eBooks
http://library.link/vocab/subjectName
  • Matrices
  • Vector analysis
Label
Generalized vectorization, cross-products, and matrix calculus, Darrell A. Turkington, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1017/CBO9781139424400
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Mathematical prerequisites -- 2. Zero-one matrices -- 3. Elimination and duplication matrices -- 4. Matrix calculus -- 5. New matrix calculus results -- 6. Applications
Control code
CR9781139424400
Dimensions
unknown
Extent
1 online resource (xi, 267 pages)
Form of item
online
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781107032002
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(OCoLC)821617824
Label
Generalized vectorization, cross-products, and matrix calculus, Darrell A. Turkington, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1017/CBO9781139424400
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Mathematical prerequisites -- 2. Zero-one matrices -- 3. Elimination and duplication matrices -- 4. Matrix calculus -- 5. New matrix calculus results -- 6. Applications
Control code
CR9781139424400
Dimensions
unknown
Extent
1 online resource (xi, 267 pages)
Form of item
online
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9781107032002
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(OCoLC)821617824

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