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.


Cite this paper as:

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

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Universitatea Tehnica din Cluj-Napoca

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[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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