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Operator and matrix representation for the generalized inverse(A_{T,S}^{(2)} )

โœ Scribed by Chen Yonglin

Book ID
110611705
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2001
Tongue
English
Weight
315 KB
Volume
17
Category
Article
ISSN
0168-9673

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๐Ÿ“œ SIMILAR VOLUMES

A characterization and representation of
A characterization and representation of the generalized inverse A(2)T,S and its applications
โœ Yimin Wei ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 498 KB

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.

Representation and approximation of the
Representation and approximation of the outer inverse AT,S(2) of a matrix A
โœ Yong-Lin Chen; Xin Chen ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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