𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A characterization and representation of the generalized inverse A(2)T,S and its applications

✍ Scribed by Yimin Wei

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
498 KB
Volume
280
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

This paper presents an explicit expression for the generalized inverse A!$. Based on this, we established the characterization, the representation theorem and the limiting process for A(Ti. As an application, we estimate the error bound of the iterative method for approximating AFL.

πŸ“œ SIMILAR VOLUMES

The representation of generalized invers
The representation of generalized inverse and its applications
✍ Hu Yang; Deqiang Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 418 KB

This paper presents the explicit expression for matrix right symmetry factor with prescribed rang and null space. Moreover, the explicit expression for generalized inverse A (2,3) T ,S , which is a {2,3}-inverse of A having the prescribed rang T and null space S, is derived. As an application, two

Representation and approximation of the
Representation and approximation of the outer inverse AT,S(2) of a matrix A
✍ Yong-Lin Chen; Xin Chen πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 163 KB

In this paper, we establish a basic representation and a representation theorem for the outer inverse A (2) T ,S of a matrix A, which is the matrix X satisfying XAX = X, R(X) = T and N(X) = S. We develop several specific representations and iterative methods for A (2) T ,S . We show that this rep