## Abstract

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.

## Author

Ion **Păvăloiu**

(Tiberiu Popoviciu Institute of Numerical Analysis)

## Keywords

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.

## About this paper

##### Journal

##### Publisher Name

Universitatea Tehnica din Cluj-Napoca

##### Article on the journal website

##### Print ISSN

1584-286X

##### Online ISSN

1843-441X

## References

[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