Multihomogeneous Newton methods

Authors
Dedieu, JP Shub, M
Citation
Jp. Dedieu et M. Shub, Multihomogeneous Newton methods, MATH COMPUT, 69(231), 2000, pp. 1071-1098
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
69
Issue
231
Year of publication
2000
Pages
1071 - 1098
Database
ISI
SICI code
0025-5718(200007)69:231<1071:MNM>2.0.ZU;2-7
Abstract
We study multihomogeneous analytic functions and a multihomogeneous Newton' s method for finding their zeros. We give a convergence result for this ite ration and we study two examples: the evaluation map and the generalized ei genvalue problem.