Multihomogeneous Newton methods

Jean-Pierre Dedieu; Mike Shub

doi:10.1090/s0025-5718-99-01114-x

Mathematics of Computation

Paper

01 Jan 2000

Multihomogeneous Newton methods

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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.

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