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

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

[1] Herzberger J., Explizite Shulz Verfahren hoherer ordrnung zur approximation der reversen matrix, Z. Angew Math. und Mech. 1988, Bd. 68, No. 5, pp. 494-496

[2] Ostrowski M.A., Solution of equations in euclidian and Banach spaces, Academic Press. New York and London (1975)

[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

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

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