On approximating the inverse of a matrix

In this note we deal with two problems: the first regards the efficiency in approximating the inverse of a matrix by the Schultz-type methods, and the second is the problem of evaluating the errors in the approximation of the inverses of the perturbed matrices.

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

matrix inverse; iterative methods; Schultz method; perturbations; error evaluation.

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I. Păvăloiu, On approximating the inverse of a matrix, Creative Math., 12 (2003), pp. 15-20.

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[3] Stickel E., On a class of high order methods for investing matrices, Z. Angew Math. und Mech. 1987, Bd. 67, No. 7, pp. 334-336