Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms

by Peter Deuflhard

Book Overview

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant...

• Format: Paperback
• Language: English
• ISBN: 364223898X
• ISBN13: 9783642238987
• Release Date: September 2011
• Publisher: Springer
• Length: 424 Pages
• Weight: 1.35 lbs.
• Dimensions: 0.9" x 6.1" x 9.1"