Article ID Journal Published Year Pages File Type
4602350 Linear Algebra and its Applications 2008 12 Pages PDF
Abstract

The dimensions of sets of matrices of various types, with specified eigenvalue multiplicities, are determined. The dimensions of the sets of matrices with given Jordan form and with given singular value multiplicities are also found. Each corresponding codimension is the number of conditions which a matrix of the given type must satisfy in order to have the specified multiplicities.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory