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- Robert Hartwig, Xiezhang Li, Yimin Wei
- SIAM J. Matrix Analysis Applications
- 2005

The authors introduce a new type of matrix splitting generalizing the notion of B splitting and study its relationships with nonnegativity of the Moore-Penrose inverse and the group inverse. Mathematics subject classification (2010): 15A09, 15B48.

- Xiezhang Li, Yimin Wei
- 2002

The generalized inverse A T ,S of a matrix A is a {2}-inverse of A with the prescribed range T and null space S. A representation for the generalized inverse A T ,S has been recently developed with the condition σ(GA|T ) ⊂ (0,∞), where G is a matrix with R(G) = T and N(G) = S. In this note, we remove the above condition. Three types of iterative methods for… (More)

- Yimin Wei, Xiezhang Li, Fanbin Bu
- SIAM J. Matrix Analysis Applications
- 2005

A constructive perturbation bound of the Drazin inverse of a square matrix is derived using a technique proposed by G. Stewart and based on perturbation theory for invariant subspaces. This is an improvement of the result published by the authors Wei and Li [Numer. Linear Algebra Appl., 10 (2003), pp. 563–575]. It is a totally new approach to developing… (More)

- Mei-Qin Chen, Xiezhang Li
- 2003

Let C(r) = [Cij ], r = 1, 2, . . . , R, be block m×m matrices where Cij (r) are nonnegative Ni ×Nj matrices for i, j = 1, 2, . . . , m. Let ‖ · ‖ be a consistent matrix norm. Denote for each r by B(r) = [‖Cij (r)‖] an m×m matrix. The relation of the spectral radii ρ( ∏R r=1 C(r)) and ρ( ∏R r=1 B(r)) is studied in this paper. It is shown with two proofs that… (More)

- Yimin Wei, Xiezhang Li
- Numerical Lin. Alg. with Applic.
- 2003

Perturbation bounds for the relative error in the eigenvalues of diagonalizable and singular matrices are derived by using perturbation theory for simple invariant subspaces of a matrix and the group inverse of a matrix. These upper bounds are supplements to the related perturbation bounds for the eigenvalues of diagonalizable and nonsingular matrices. ©… (More)

- Xiezhang Li
- Applied Mathematics and Computation
- 2011

- Xiezhang Li, Yimin Wei
- Applied Mathematics and Computation
- 2004

Given a square matrix A and its perturbation matrix E, a new expression for the Drazin inverse B of B 1⁄4 Aþ E is derived if AAB 1⁄4 ðAADBÞ or BAA 1⁄4 ðBAADÞ. Based on the new expression, a bound of the relative error of B is developed. Some known results in the literature on the Drazin inverse and the perturbation bound are included by this new formula as… (More)

- Jiehua Zhu, Xiezhang Li, Yangbo Ye, Ge Wang
- Discrete Applied Mathematics
- 2008

Discrete tomography deals with image reconstruction of an object with finitely many gray levels (such as two). Different approaches are used to model the raw detector reading. The most popular models are line projection with a lattice of points and strip projection with a lattice of pixels/cells. The line-based projection model fits some applications but… (More)