A WEIGHTED PROCRUSTES CRITERION

被引:37
作者
KOSCHAT, MA
SWAYNE, DF
机构
[1] BELL COMMUN RES INC,445 S ST,ROOM 2L-331,BOX 1910,MORRISTOWN,NJ 07960
[2] YALE UNIV,SCH ORG & MANAGEMENT,NEW HAVEN,CT 06520
关键词
ROTATION; MATCHING; PROCRUSTES ANALYSIS; TUCKER COEFFICIENT OF CONGRUENCE;
D O I
10.1007/BF02294460
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Procrustes criterion is a common measure for the distance between two matrices X and Y, and can be interpreted as the sum of squares of the Euclidean distances between their respective column vectors. Often a weighted Procrustes criterion, using, for example, a weighted sum of the squared distances between the column vectors, is called for. This paper describes and analyzes the performance of an algorithm for rotating a matrix X such that the column-weighted Procrustes distance to Y is minimized. The problem of rotating X into Y such that an aggregate measure of Tucker's coefficient of congruence is maximized is also discussed.
引用
收藏
页码:229 / 239
页数:11
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