Displacement structure of weighted pseudoinverses

Estimates for the rank of A MN V - UA MN and more general displacement of A MN are presented,where A MN is the weighted pseudoinverse of a matrix A.The results are applied to the close-to-Toeplitz,close-to-Vandermonde and close-to-Cauchy matrices.We extend the results due to G. Heinig and F. Hellinger in 1994.

• Type: Journal
• Year: 2004
• Where: AMC
• Authors: Jianfeng Cai, Yimin Wei
• Keywords: AMC 2004, General Displacement, UA MN, Weighted Pseudoinverse