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

In this paper an alternative representation of the generalized inverseA _T,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 inverseA _T,S ⁽²⁾ . The corresponding error bounds are also estimated. Finally, an example is shown to illustrate our theory.