Abstract
This paper introduces the K-nonnegative double splitting of a K-monotone matrix using knowledge of the matrices that leave a cone \(K\subseteq \mathbb {R}^n\) invariant. The convergence of this splitting is studied. Comparison theorems for two K-nonnegative double splittings of a K-monotone matrix are obtained. The results generalize the corresponding results introduced by Song and Song (Calcolo 48:245–260, 2011) for nonnegative double splitting. Some examples are provided to illustrate the main results.
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Acknowledgements
Funding was provided by Youth Research Fund of Qinghai University (Grant No. 2014-QGY-28).
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Wang, C. Comparison results for K-nonnegative double splittings of K-monotone matrices. Calcolo 54, 1293–1303 (2017). https://doi.org/10.1007/s10092-017-0230-7
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DOI: https://doi.org/10.1007/s10092-017-0230-7