论文信息 - The representation and approximation for the generalized inverse AT, S(2)

The representation and approximation for the generalized inverse AT, S(2)

We present a unified representation theorem for the generalized inverses A"T","S^(^2^), which are {2}- (or outer) inverses having the prescribed range T and null space S. Specific expressions and computational procedures for the generalized inverses A"T","S^(^2^) can be uniformly derived.

Hebing Wu | Yimin Wei

[1] M. Z. Nashed,et al. Convergence of Newton-like methods for singular operator equations using outer inverses , 1993 .

[2] Yong-Lin Chen. Iterative methods for computing the generalized inverses A (2) T, S of a matrix A , 1996 .

[3] Francis Hsuan,et al. The {2}-inverse with applications in statistics , 1985 .

[4] Yimin Wei,et al. A characterization and representation of the generalized inverse A(2)T,S and its applications , 1998 .

[5] Adi Ben-Israel,et al. Generalized inverses: theory and applications , 1974 .

[6] Predrag S. Stanimirovic,et al. Limit representations of generalized inverses and related methods , 1999, Appl. Math. Comput..

[7] Stephen L. Campbell,et al. Recent applications of generalized inverses , 1982 .

[8] Donald R. Jensen,et al. Minimal properties of Moore-Penrose inverses , 1994 .

[9] Hebing Wu,et al. The representation and approximation for Drazin inverse , 2000 .

[10] Yong-Lin Chen. Finite algorithms for the (2)-generalized inverse , 1995 .

[11] Hebing Wu,et al. The representation and approximation for the weighted Moore-Penrose inverse , 2001, Appl. Math. Comput..