Condition number related with generalized inverse AT,S(2) and constrained linear systems

Authors:
Yimin Wei;Naimin Zhang
Affiliations:
Department of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China;Institute of Mathematics, Fudan University, Shanghai, 200433, People's Republic of China
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

Citing 4
Cited 0

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Abstract

In this paper, we introduce a PQ-norm and discuss the condition number of the generalized inverse AT,S(2). We get some results on the condition numbers with respect to AT,S(2) and constrained linear systems Ax=b,x ∈ T which are similar to the regular inverse A-1 and nonsingular linear systems Ax = b. Finally, we investigate the structured perturbation of the generalized inverse AT,S(2).