Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498156 | Linear Algebra and its Applications | 2005 | 17 Pages |
Abstract
The main topic of this paper is the matrix V = A â XY*, where A is a nonsingular complex k Ã k matrix and X and Y are k Ã p complex matrices of full column rank. Because properties of the matrix V can be derived from those of the matrix Q = I â XY*, we will consider in particular the case where A = I. For the case that Y*X = I, so that Q is singular, we will derive the Moore-Penrose inverse of Q. The Moore-Penrose inverse of V in case Y*Aâ1X = I then easily follows. Finally, we will focus on the eigenvalues and eigenvectors of the real matrix D â xyâ² with D diagonal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ton Steerneman, Frederieke van Perlo-ten Kleij,