Kantorovich's Theorem on Newton's Method
arXiv:1209.57047 citationsh-index: 44
Originality Synthesis-oriented
AI Analysis
For researchers in numerical analysis, this provides a more accessible proof of a foundational theorem, but it is an incremental contribution.
This work presents a simplified proof of Kantorovich's Theorem on Newton's Method, using an existing technique previously employed for extensions of the theorem.
In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.