Knowledge Center Catalog

Least squares approximation of matrices by additive and multiplicative models (Record no. 19668)

MARC details
000 -LEADER
fixed length control field 01644nab a22002777a 4500
001 - CONTROL NUMBER
control field G69019
003 - CONTROL NUMBER IDENTIFIER
control field MX-TxCIM
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230516180721.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121211b |||p||p||||||| |z||| |
022 ## - INTERNATIONAL STANDARD SERIAL NUMBER
International Standard Serial Number 1467-9868
022 ## - INTERNATIONAL STANDARD SERIAL NUMBER
International Standard Serial Number 1369-7412 (Online)
040 ## - CATALOGING SOURCE
Original cataloging agency MX-TxCIM
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) REP-175
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Gabriel, K. R
9 (RLIN) 496
245 01 - TITLE STATEMENT
Title Least squares approximation of matrices by additive and multiplicative models
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Date of publication, distribution, etc. 1978.
Place of publication, distribution, etc. United Kingdom :
Name of publisher, distributor, etc. Wiley,
340 ## - PHYSICAL MEDIUM
Material base and configuration Computer File|Printed
520 ## - SUMMARY, ETC.
Summary, etc. Reduced rank approximation of matrices by Householder–Young methods is shown to be equivalent to fitting of a bilinear (multiplicative) model and to projection onto an optimally chosen subspace. The relation to linear approximation is made evident. Least squares fitting of a mixed linear (additive) and bilinear (multiplicative) model is proved to be a two-stage process: (1) fit the linear part of the model, then take residuals, and (2) fit the bilinear part to the residuals. Extensions of this result are given as well as some results on distributions of residuals and tests against alternatives of given rank. Statistical applications are shown in principal component analysis, in biplot graphical display and in fitting additive or Mandel-type models to two-way tables.
546 ## - LANGUAGE NOTE
Language note Text in English
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Source of heading or term AGROVOC
9 (RLIN) 30836
Topical term or geographic name as entry element Least squares method
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Source of heading or term AGROVOC
9 (RLIN) 17216
Topical term or geographic name as entry element Components
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Source of heading or term AGROVOC
9 (RLIN) 2624
Topical term or geographic name as entry element Statistical methods
773 0# - HOST ITEM ENTRY
Title Journal of the Royal Statistical Society Series B
Related parts v. 40, no. 2, p. 186-196
Place, publisher, and date of publication United Kingdom : Wiley, 1978.
International Standard Serial Number 1467-9868
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Article
Source of classification or shelving scheme Dewey Decimal Classification
Holdings
Date last seen Total Checkouts Full call number Price effective from Koha item type Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Withdrawn status Home library Current library Date acquired
07/05/2017   REP-175 07/05/2017 Article Not Lost Dewey Decimal Classification     Reprints Collection   CIMMYT Knowledge Center: John Woolston Library CIMMYT Knowledge Center: John Woolston Library 07/05/2017

International Maize and Wheat Improvement Center (CIMMYT) © Copyright 2021.
Carretera México-Veracruz. Km. 45, El Batán, Texcoco, México, C.P. 56237.
If you have any question, please contact us at
CIMMYT-Knowledge-Center@cgiar.org