TY - GEN A1 - Deuflhard, Peter T1 - The Grand Four N2 - This paper gives a concise synopsis and some new insights concerning four affine invariant globalizations of the local Newton method. The invariance classes include: affine covariance, affine contravariance, affine conjugacy, and affine similarity. In view of algorithmic robustness, each of these classes of algorithms is particularly suitable for some corresponding problem class. T3 - ZIB-Report - 17-70 Y1 - 2017 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/6603 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-66038 SN - 1438-0064 ER -