# On the approximation of solutions to nonlinear operators between metric spaces

## Abstract

A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed by Varga, and subsequently studied in two papers. Here we extend these ideas to the case of nonlinear systems of equations.

## Keywords

nonlinear systems of equations; Gauss-Seidel method; convergence.

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##### Cite this paper as:

I. Păvăloiu, On the approximation of solutions to nonlinear operators between metric spaces, Bul. Ştiinţ. Univ. Baia Mare, 18 (2002) no. 1, pp. 69-72.

##### Publisher Name

Universitatea Baia Mare