Multihomogeneous Newton methods

Abstract. We study multihomogeneous analytic functions and a multihomogeneous Newton's method for finding their zeros. We give a convergence result for this iteration and we study two examples: the evaluation map and the generalized eigenvalue problem.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Jean-Pierre Dedieu, Mike Shub
• Keywords: Evaluation Map, Generalized Eigenvalue Problem, MOC 2000, Multihomogeneous Analytic Functions