On comparison results for K-nonnegative double splittings of different K-monotone matrices

Abstract

The comparison results for K-double splittings of one K-monotone matrix are established in the literatures. As comparison theorems between the spectral radii of different matrices are a useful tool for judging the efficiency of preconditioners, we propose some comparison results for K-nonnegative double splittings of different K-monotone matrices in this note. The obtained results generalize the previous ones.

Keywords

• k-monotone matrix
• k-nonnegative double splitting
• comparison theorem