Многомерное шкалирование в случае матриц попарных расстояний с элементами из конечного множества

The paper considers multidimensional scaling problem with proximity matrix consisting of two different non-diagonal elements. Elements of the superdiagonal matrix don’t decrease along the string and don’t increase along the column. The structure of considered matrix is described. In one-, two- and three-dimensional spaces all available proximity matrices are listed. Matrices that can be considered as proximity matrices in t-dimensional euclidian space have their dimensions in a definite interval. The exact bounds of this interval are also found.