If B is a summability matrix, then the submethod Bλ 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.