An extended way to compute the mixed Cayley-Sylvester matrix

摘要

In this paper, all the entries of the transformation matrix between the Sylvester matrix and mixed CayleySylvester matrix are found. It is proved that the matrix is upper triangular, block symmetric and the blocks themselves have elegant symmetry properties. Under the block structure of the matrix, a new way to compute the mixed Cayley-Sylvester matrix is presented.