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

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).

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