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The Block Structure of Three Dixon Resultants and Their Accompanying Transformation Matrices
Dixon  introduces three distinct determinant formulations for the resultant of three bivariate polynomials of bidegree (m,n) . The first technique applies Sylvester's dialytic method to construct the resultant as the ...
Transformations and Transitions from the Sylvester to the Bezout Resultant
A simple matrix transformation linking the resultant matrices of Sylvester and Bezout is derived. This transformation matrix is then applied to generate an explicit formula for each entry of the Bezout resultant, and this ...
Hybrid Dixon Resultants
Dixon  describes three distinct homogeneous determinant representations for the resultant of three bivariate polynomials of bidegree(m,n). These Dixon resultants are the determinants of matrices of orders 6mn, 3mn ...
A Set of Convolution Identities Relating the Blocks of Two Dixon Resultant Matrices
Resultants for bivariate polynomials are often represented by the determinants of very big matrices. Properly grouping the entries of these matrices into blocks is a very effective tool for studying the properties of these ...