Matrix representations of Bezoutians Original Research Article

An approach is presented to get matrix representations for classical and more general r-Bezoutians with entries from a noncommutative ring. Formulas due to Ammar and Gader, Barnett, Gohberg and Semencul, Gohberg and Heinig, Kravitsky and Russakovskii, Lerer and Tismentsky, Pták, and Wimmer, as well as some generalizations and modifications, are obtained in a unified way.