The Compound Matrix of the W-weighted Drazin Inverse And its Applications

摘要

Let A be a complex matrix. M. Marcus gave a relationship between the Moore-Penrose inverse of the compound matrix of A and the compound matrix of the Moore-Penrose inverse of A. This paper discusses the similar problem for the W-weighted Drazin inverse of A, gives a relationship between the W-weighted Drazin inverse of the compound matrix of A and the compound matrix of the W-weighted Drazin inverse of A. We also give an application and an example of this result in computing the volume of matrices.