Representation and approximation for generalized inverseAT,S(2): Revisited

In this paper an alternative representation of the generalized inverseAT,S(2) of a matrixA is given out, which drops the restriction on the nonnegativity of the spectrum ofGA for parameter matrixG satisfyingR(G) =T andN(G) =S. Based on this new representation and two special Hermitian interpolation polynomials we present two iterative schemes for computing the generalized inverseAT,S(2). The corresponding error bounds are also estimated. Finally, an example is shown to illustrate our theory.

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