On Newton-type methods for multiple roots with cubic convergence

Zusammenfassung

We introduce two families of Newton-type methods for multiple roots with cubic convergence. A further Newton-type method for multiple roots with cubic convergence is presented that is related to quadrature. We also provide numerical tests that show that these new methods are competitive to other known methods for multiple roots. (C) 2009 Elsevier B.V. Ail rights reserved.