TY - JOUR
T1 - Linear methods in multimode data analysis for decision making
AU - Lipovetsky, S.
AU - Tishler, A.
PY - 1994/2
Y1 - 1994/2
N2 - This paper presents and analyses several methods for the evaluation of information given in the form of many-way matrices. These methods are based on the least squares approximation of a matrix by a many-vector product which can be represented as a nonlinear eigenvector problem. Using real data about university choice by high school graduates in Israel, we develop and compare the following three families of methods: parallel proportional profiles, various types of methods based on the use of cyclic matrices (canonical correlations, principal components, and planes' approximation), and minimization of relative deviations.
AB - This paper presents and analyses several methods for the evaluation of information given in the form of many-way matrices. These methods are based on the least squares approximation of a matrix by a many-vector product which can be represented as a nonlinear eigenvector problem. Using real data about university choice by high school graduates in Israel, we develop and compare the following three families of methods: parallel proportional profiles, various types of methods based on the use of cyclic matrices (canonical correlations, principal components, and planes' approximation), and minimization of relative deviations.
UR - http://www.scopus.com/inward/record.url?scp=0028374079&partnerID=8YFLogxK
U2 - 10.1016/0305-0548(94)90050-7
DO - 10.1016/0305-0548(94)90050-7
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AN - SCOPUS:0028374079
SN - 0305-0548
VL - 21
SP - 169
EP - 183
JO - Computers and Operations Research
JF - Computers and Operations Research
IS - 2
ER -