Comparison theorems for weak nonnegative splittings of K-monotone matrices

Joan‐Josep Climent, Carmen Perea · Electronic Journal of Linear Algebra · 1999

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 dierent t ypes.

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