ELA, Volume 5, pp. 24-38, February 1999, abstract.

Comparison theorems for weak nonnegative splittings of 
K-monotone matrices

Joan-Josep Climent and Carmen Perea

The comparison of the asymptotic rates of convergence of two 
iteration matrices induced by two splittings of the same matrix 
has arisen in the works of many authors. 
In this paper new comparison theorems for weak nonnegative 
splittings of K-monotone matrices are derived which extend some 
results on regular splittings by Csordas and Varga (1984) for 
weak nonnegative splittings of the same or different types.