If B is a summability matrix, then the submethod B λ is the matrix obtained by deleting a set of rows from the matrix B . Comparisons between Euler-Knopp submethods and the Borel summability method are made. Also, an equivalence result for convolution submethods is established. This result will necessarily apply to the submethods of the Euler-Knopp, Taylor, Meyer-König, and Borel matrix summability methods.