A note on condition numbers for generalized inverse A(2)T, S and constrained linear systems

Abstract In this paper, we use the Schur decomposition to measure the sensitivity of the general inverse A T , S ( 2 ) and the constrained singular linear system Ax = b with regard to 2-norm and F-norm, rather than PQ-norm in [12] , where P and Q are nonsingular matrices. The explicit forms of the condition numbers approximate the sensitivity of A T , S ( 2 ) and the constrained singular linear system pretty well. Furthermore, since Schur decomposition is well-posed, the evaluation of the sensitivity can be numerically easy and stable.

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