This paper is concerned with solving linear complementarity problems (LCP) arising in many scientific and engineering fields. We propose an accelerated double-relaxation two-sweep modulus-based matrix splitting (ADRTMMS) iteration method by applying accelerating. relaxation and relaxation two-sweep techniques to the MMS one. This new method contains some known ones developed recently. https://mabelandfoxs.shop/product-category/bath-caddy/