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“Partial Isometric” Solutions: A Special Ambiguity of the Optimal Configuration in MDS with Minkowski Metrics
Author(s) -
Wolfrum Christine
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250406
Subject(s) - infimum and supremum , mathematics , minkowski space , ambiguity , metric (unit) , block (permutation group theory) , isometric exercise , discrete mathematics , combinatorics , computer science , geometry , engineering , medicine , operations management , programming language , physical therapy
This article deals with a special kind of ambiguity of the optimal configuration calculated with the MDSCAL procedure. These configurations – the so‐called partial isometric solutions – are not restricted to the use of the MDSCAL procedure; they may always occur when using Minkowski metrics. For the City Block metric and the Supremum metric examples are demonstrated.