Eigenvector and logarithmic least squares

Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States

Publication date: Sep, 1990

Journal: European journal of operational research
Vol.: 48- Issue: 1- Pages: 156-160

Abstract: The eigenvector method deals with two questions simultaneously, closeness and order. Together, they belong to the field topology of order. The metric idea of closeness is inadequate to judge what is a good approximation to data involving order relations. There is usually a condition which relates order in the derived scale to order in the data. This is precisely the kind of condition captured by the eigenvector, but not by the logarithmic least squares estimate.

Keywords: Eigenvector, Logarithmic least squares