On the Parameters of the Singular Part of the Horn—Sergeichuk Regularizing Decomposition

Аннотация

A simple method is given for a priori determination of the number of Jordan blocks and their orders in the regularizing decomposition of a square matrix. This decomposition was proposed by R. Horn and V. Sergeichuk. It is attained by congruence transformations and makes it possible to separate the regular and singular parts of the matrix.