We accelerate a double precision sparse matrix and DD vector multiplication (DD-SpMV), and its transposition and DD vector multiplication (DD-TSpMV) by using SIMD AVX2 for Krylov subspace methods. We compare some storage formats of DD-SpMV and DDTSpMV for AVX2 to eliminate performance degradation factors in CRS. Our experience indicates that BCRS4x1, with fitting block size to the SIMD register...