| Summary: | For large sparse quasi-complementarity problem (QCP), Wu and Guo <sup>[<xref ref-type="bibr" rid="b35">35</xref>]</sup> recently studied a modulus-based matrix splitting (MMS) iteration method, which belongs to a class of inner-outer iteration methods. In order to improve the convergence rate of the inner iteration so as to get fast convergence rate of the outer iteration, a general MMS (GMMS) iteration method is proposed in this paper. Convergence analyses on the GMMS method are studied in detail when the system matrix is either an $ H_{+} $-matrix or a positive definite matrix. In the case of $ H_{+} $-matrix, weaker convergence condition of the GMMS iteration method is obtained. Finally, two numerical experiments are conducted and the results indicate that the new proposed GMMS method achieves a better performance than the MMS iteration method.
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