Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633407 | Applied Mathematics and Computation | 2008 | 15 Pages |
Abstract
By using the method of generalized singular values decomposition, we establish a canonical theorem for a pair of oblique projectors AAMN† and BBMN†, give some new results for perturbations of AAMN† and BBMN†, where AMN† is the weighted Moore–Penrose inverse of matrix A, M and N are two Hermitian positive definite matrices and B is a matrix obtained from a perturbation of A . Our work can be seen as the extended results for orthogonal projectors AA†AA† and BB†BB†. Some numerical examples are given to illustrate the results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhaoliang Xu, Jie Sun, Chao Gu,